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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>Manuscript received November</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Kathryn B. Laskey, David A. Schum, Paulo C. G. Costa</string-name>
          <email>[klaskey, dschum, pcosta]@ gmu.edu</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Terry Janssen</string-name>
          <email>terry.janssen@lmco.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Lockheed Martin, IS&amp;GS/GSS</institution>
          ,
          <addr-line>Herndon, VA 20171</addr-line>
          <country country="US">USA</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>The Volgenau School of Information Technology and Engineering, George Mason University</institution>
          ,
          <addr-line>Fairfax, VA 22030</addr-line>
          <country country="US">USA</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2008</year>
      </pub-date>
      <volume>1</volume>
      <issue>2008</issue>
      <abstract>
        <p>- Intelligence analysts rely on reports that are subject to many varieties of uncertainty, such as noise in sensors; deception or error by human sources; or cultural misunderstanding. To be effective, intelligence analysts must understand the relationship between reports, the events or situations reported upon, and the hypotheses of interest to which those events or situations are evidential. Computerized support for intelligence analysts must provide assistance for managing evidential reasoning. For this purpose, computational representations are needed for categories and relationships related to evidential reasoning, such as hypotheses, evidence, arguments, sources, and credibility. This paper describes some of the entities and relationships that belong in an ontology of evidence, and makes the case for the fundamental importance of a carefully engineered ontology of evidence to the enterprise of intelligence analysis.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>Index Terms— Evidence, probabilistic ontologies, intelligence
analysis, inferential reasoning, source credibility</p>
    </sec>
    <sec id="sec-2">
      <title>I. INTRODUCTION</title>
      <p>Eintelligence analysis. Much of an intelligence analyst’s
vidential reasoning is fundamental to the practice of
time is spent constructing complex chains of argument from
evidence to conclusion, weighing the force of each argument
and the credibility of its component sources, and arriving at
overall judgments that, while falling short of certainty, provide
useful inputs to decision makers. Reports that give rise to
intelligence assessments are characterized by many varieties
of uncertainty: noise in sensors; deception or error by human
sources; poor understanding of situation or context. To be
effective, intelligence analysts must understand the
relationship between reports, the events or situations reported
upon, and the hypotheses of interest to which those events or
situations are evidential.</p>
      <p>It follows that effective computerized support for
intelligence analysts must support processes of evidential
reasoning. For this purpose, computational representations are
needed for categories and relationships related to evidential
reasoning, such as hypotheses, evidence, sources, credibility,
and the like.</p>
      <p>Some have argued that computational representations of
evidential categories and relationships, while necessary to
intelligence analysis, do not belong in an ontology. Ontology,
the argument goes, is the systematic study of existence: the
categories of things that can exist and the relationships they
can bear to one another. In the field of information systems,
the term has come to mean the engineering discipline of
constructing computational representations of various domains
of application. By contrast, epistemology is the study of
knowledge: how agents come to know about things that exist.
The ontologies we construct, the argument goes, should be
about what is, not what might or might not be, or what agents
can reasonably infer from available evidence.</p>
      <p>Computational support for intelligence analysts requires the
ability to represent, store, and manipulate evidence,
hypotheses, and arguments relating evidence to hypotheses.
Such representations must be stored in a computational
structure, which, for want of a better term, we might call an
epistemological repository. Let us consider what such an
epistemological repository might contain. It would represent
concepts such as hypothesis, evidence, source, and report. It
would contain relationships such as relevance of evidence to
hypothesis, or the source-of relationship connecting a source
with a report produced by the source. It would be quite natural
to construct the representation using the languages and tools
commonly applied in the discipline of ontological engineering.
In other words, this epistemological repository would look
rather like a domain ontology, where the domain being
represented is epistemology – the field devoted to how we use
evidence obtained from the world around us to arrive at
knowledge about the world. The natural person to build this
repository would be someone schooled in constructing such
representations – that is, an ontological engineer. To call such
a repository an ontology of evidence would hardly seem
unreasonable.</p>
      <p>In this paper, we argue for the fundamental importance of a
carefully engineered ontology of evidence to the enterprise of
intelligence analysis for the need for an ontology of evidence,
and describe some of the entities and relationships that such an
ontology would represent.</p>
    </sec>
    <sec id="sec-3">
      <title>II. EVIDENCE AND ARGUMENT</title>
      <p>
        Schum [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] has written a systematic treatise on evidence and
its role in constructing arguments. All evidence, according to
Schum, has three major credentials: relevance, credibility, and
inferential force or weight. Relevance concerns the degree to
which the evidence bears upon the hypothesis under
consideration. Credibility means the degree to which the
evidence is believable; whether or not the evidence is
trustworthy. Inferential force concerns the strength of the
relationship between evidence and hypothesis – the degree to
which the evidence sways our belief in the hypothesis.
      </p>
      <p>Evidence can come from diverse types of sources (e.g.
physical sensors, human reports, direct tangible evidence such
as objects or documents), each with different degrees of
relevance, levels of credibility, and force.</p>
      <p>As examples of the factors bearing the credibility of a
source, evidence coming from physical sensors needs to be
evaluated with respect to environmental conditions, distance
from observer, and physical characteristics of the respective
sensor. Human sensors, on the other hand, must be scrutinized
with respect to opportunity, competence, and veridicality.
Opportunity concerns whether the person was in a position to
have observed the event or verified the fact. Competence
concerns whether the source was capable of making the
distinction in question. Veridicality concerns whether the
source is telling the truth. Clearly, there may be complex
chains of inference involved in ascertaining any of these
factors influencing credibility. Approaches for dealing with
the weight or strength of evidence include both qualitative and
quantitative aspects of the reasoning process adopted to draw
inferences from it (e.g. probability theory, logical reasoning,
etc).</p>
      <p>A vital (and too often overlooked) distinction to be made is
the difference between an event and evidence that the event
occurred, or between a fact and evidence that the fact obtains.
Schum uses the notational device of an asterisk to make the
distinction between event or fact E and evidence E* relating to
E. It is important to note that E* does not entail E; the
inference to E depends on the credibility of the source of E*.</p>
      <p>We do not always have the luxury of a direct report E* on
an event or fact E of interest. We may need to reason
indirectly from a report R* to an event or proposition R whose
truth bears on the truth of E, and from there to E itself.
Collections of interrelated propositions can be chained
together into complex arguments. We often think of an
argument as a linear chain from evidence through a collection
of intermediate conclusions to a final conclusion. However,
each link in such a chain must be justified. A judgment must
be made that each antecedent in the chain is relevant to its
consequent. The evidential force of each link must also be
established. These judgments often require evidential
reasoning in their own right. Schum uses the term ancillary
evidence to refer to evidence about the nature and force of an
evidential relationship. Intelligence analysts require support
for keeping account of chains of argument and the ancillary
evidence on which their force depends.</p>
    </sec>
    <sec id="sec-4">
      <title>III. PROBABILISTIC TREATMENTS OF EVIDENCE</title>
      <p>
        The past century has brought broad appreciation of the
statistical regularities underlying the seeming complexity of
physical, biological, psychological, and societal phenomena
[
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. Computational advances are enabling automated and
semi-automated support for many “knowledge tasks” once
thought to be the exclusive province of human cognition.
Intelligence analysts increasingly rely upon computerized
systems that allow them to catalog, organize, and explore the
implications of large collections of reports and other evidence.
Quantitative measures of the strength of evidence are useful as
a way to summarize and communicate the implications of
large bodies of evidence. A natural candidate for such
summarization, with a long and respected intellectual tradition
behind it, is probability. Systematic deviations of intuitive
human reasoning from the tenets of probability theory (e.g.,
[
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]) have been cited as justification for heuristic approaches to
combining strength of evidence (e.g., [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]). Nevertheless,
naturalistic human reasoning can usefully be treated as a
computationally bounded approximation to a probabilistic
norm (c.f., [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]). There is a robust literature on the use of
probability and decision theory to support human inference
and decision making, and to protect against errors that can
occur in naïve human reasoning (e.g., [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ], [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]). Furthermore,
heuristic techniques introduced as cognitively natural ways to
overcome perceived disadvantages of probability theory have
been shown to admit a probabilistic interpretation (e.g., [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]).
When the independence conditions justifying the probabilistic
interpretation are met, such heuristic weighting factors can
work well, but they can produce disastrous results when
applied without regard to whether these conditions are met.
There is no match for probability theory in its generality,
logical coherence, and well-developed methodological base.
For this reason, we focus on probability theory as a logically
justified approach to combining numerical measures of
evidential force.
      </p>
      <p>We provide several examples to illustrate how probability
can be used to represent and reason about credibility, to
combine reports from different sources, and to handle
subtleties such as dependence relationships that can stymie
naïve heuristic weighting schemes. Our examples are
deliberately kept simple to illustrate the key points. They are
not intended to represent the full complexity of the evidential
reasoning problems faced in real applications. Nevertheless,
they illustrate the building blocks from which a more
sophisticated reasoning capability can be constructed.</p>
      <p>Figure 1 shows a Bayesian network that illustrates the
combination of three independent pieces of evidence regarding
the whereabouts of Osama bin Laden. Prior to receiving the
reports, the probability is 3% that he is in Kandahar. After
receiving the first report, the chance increases to 11%. After a
second report, the probability is 35%; the third report brings
the probability to 69%. The figure shows the situation after the
third report has been received. The top rectangle represents
hypotheses about bin Laden’s location and their probabilities
(Kandahar at 69%; Other at 31%). The three reports are shown
below the location hypotheses. The gray color indicates that
they have been specified as evidence, with 100% probability
assigned to the actual reported location. Figure 2 extends this
example to explicitly represent report credibility. The figure
now shows credibility hypotheses (low, moderate and high)
for the three reports. If we had specified no evidence about the
credibility values, the results would have been the same as
Figure 1. But if we specify that the credibility of the third
report is low, then the probability decreases to 55% that bin
Laden is in Kandahar. That is, lowering the credibility of a
report decreases its evidential force, resulting in less change in
belief when the report is received.</p>
      <p>Our final example illustrates an issue not easily accounted
for by heuristic methods for assigning and combining
evidential weights. Suppose we discover that two of the
reports, which we had originally treated as independent, may
have actually come from the same informant. We can treat this
case by explicitly representing a hypothesis for whether the
reports came from the same source. In Figure 3a, we indicate
that the sources of the two reports are different. In this case,
they can be treated as independent evidence items, and the
resulting belief in bin Laden’s location is the same as in Figure
1. However, if we specify that the sources are the same
(Figure 3b), the probability that bin Laden is in Kandahar is
reduced to 35%, the same as if we had received only two
independent reports. The structural assumptions (the
independence relationships represented in the graphs) together
with the numerical probability values ensure that subtleties
such as source credibility and common sources are properly
accounted for in evidential reasoning.</p>
      <p>
        Additional treatments of probabilistic representations of
relevance and credibility in evidential reasoning can be found
in [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] and [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ].
      </p>
    </sec>
    <sec id="sec-5">
      <title>IV. A PROBABILISTIC ONTOLOGY OF EVIDENCE AND</title>
      <p>The above concepts pertain to the use of evidence as an
informational asset and to the inferential process that
transforms it into knowledge. This is clearly a
multia. Sources for Rep1 and Rep2 are Different
b. Sources for Rep1 and Rep2 are the Same
disciplinary subject. Practitioners from many disciplines can
profit from a formalization of the discipline of evidential
reasoning. Due to its heavy dependence on evidence in almost
every aspect of its operations, the domain of intelligence
analysis would be a prime beneficiary of an ontology of
evidence. Benefits of an ontology of evidence include a
common, shared vocabulary for important features and
relationships that occur across different applications of
evidential reasoning, as well as the ability to share information
among diverse systems.</p>
      <p>Despite considerable diversity and individual variation in
the conduct of investigation and analysis, there are
fundamental common structures and processes. Examples
include assessing the credibility and relevance of individual
items or of masses of evidence, or constructing reasoning
chains to connect evidence to hypothesis. A formal
representation of evidence and evidential relationships
provides the obvious benefit of allowing analysts to query a
knowledge base not just for conclusions (e.g., “Where is
Osama bin Laden?”), but also for the evidence on which the
conclusions are based (e.g., “What is the evidence that bin
Laden is in Kandahar?”) Analysts can reason about the
relevance of evidence to hypotheses, the credibility of sources,
errors that may be common to several evidential reasoning
chains, and other subtleties of evidential reasoning.</p>
      <p>There has been an increasing emphasis in recent years in
sharing knowledge among intelligence applications. An
ontology of evidence and inferential reasoning is a first step in
that direction. Ontologies provide shared representations of
the entities and relationships characterizing a domain, into
which vocabularies of different systems can be mapped so to
provide interoperability among them. Techniques for making
semantic information explicit and computationally accessible
are key to effective exploitation of evidence from diverse
sources, with distinct grades of credibility and relevance.
Shared formal semantics enables systems with different
internal representations to exchange information, and provides
a means to enforce business rules such as access controls for
security.</p>
      <p>However, traditional ontologies do not provide a principled
means to ensure semantic consistency with respect to issues of
uncertainty related to credibility of sources, relevance of
evidence, and other aspects of the evidential reasoning
process. Because uncertainty is a fundamental aspect of
evidential reasoning, this is a serious deficiency.</p>
      <p>When faced with the challenge of representing uncertainty
in an ontology, the natural tendency is to introduce a means to
annotate property values with information regarding their level
of confidence. This approach addresses only part of the
information that needs to be represented in a full ontology of
evidence. To understand why more is needed, consider the
example from Section II above, in which evidence from
several sources is combined to draw an inference about the
current location of Osama bin Laden. We saw that the
inferential force of each report depended not only on that
report’s credibility, but also on whether the information from
which it was derived overlapped with the information on
which another report was derived. In other words, we need to
represent not just a single credibility number, but information
about how that credibility was derived. An assessment from
source x, in order to be used in conjunction with evidence
coming from other sources would not only state that (say)
"with 75% probability, Osama bin Laden is in Kandahar." To
be part of a comprehensive probabilistic model capable of
performing sophisticated evidential reasoning, such a
statement would have to include the supporting evidence and
how its credibility affects the overall assessment. A simple
example would be “with 75% probability, given reports that
his physician was spotted in a local market (evidence E1) and
that a radio communication regarding his whereabouts was
intercepted (evidence E2),” accompanied by information
clarifying how this number changes as the credibility of E1
and E2 varies. Further, as new evidence accrues, a
sophisticated evidential reasoning system must be capable of
capturing the impact of additional evidence on the body of
evidence being analyzed. As an example, if a source were
found to be a double agent, the credibilities of all reports from
that agent would need to be called into question. A system that
relies on or can represent only numerical weights of individual
arguments cannot cope with the complexity and dynamic
aspect of real world multi-source evidential reasoning.</p>
      <p>
        In short, annotating a standard ontology with numerical
probabilities is not sufficient, as too much information is lost
due to the lack of a good representational scheme that captures
structural constraints and dependencies among probabilities.
Over the past several decades, semantically rich and
computationally efficient formalisms have emerged for
representing and reasoning with probabilistic knowledge (e.g.,
[
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]). A true probabilistic ontology must be capable of
properly representing the nuances these more expressive
languages were designed to handle. We have argued elsewhere
(e.g. [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]) that for domains characterized by uncertainty,
probabilistic ontologies ([
        <xref ref-type="bibr" rid="ref13">13</xref>
        ], [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ]) provide a principled
means to represent the structural and numerical aspects of
evidential reasoning. Indeed, many researchers have pointed
out the importance of structural information in probabilistic
models (e.g. [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ], [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]), and it is well known that some
questions about evidence can be answered entirely in
structural terms ([
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], page 271). Shafer ([
        <xref ref-type="bibr" rid="ref17">17</xref>
        ], pages 5-9)
argues that probability is more about structure than it is about
numbers. Numerical probabilities enable quantitative
assessment of the force of evidence, which depends on the
strength of relevance and credibility arguments. Exploring the
details of probabilistic ontologies is not in the scope of this
work, but the interested reader is referred to
http://www.prowl.org.
      </p>
      <p>Finally, apart from the advantages of knowledge sharing
tools to the Intelligence Analysis domain, it is important to
foresee the institutional and cultural implications of
systematizing and standardizing vocabulary and semantics of
evidential reasoning. The very difficulties an effective
information-sharing scheme is meant to overcome can become
obstacles to its widespread adoption. Given the nature of the
field, with highly personalized approaches to analysis, a
knowledge tool may encounter resistance if it is perceived as
threatening deeply ingrained processes. Yet, the increasing
demands within the Intelligence community for effective
exchange create an opportunity for developing standardized
representations and approaches. This is an important and
difficult issue. A probabilistic ontology of evidence is a
promising first step to provide a structure for knowledge
sharing that is sufficiently flexible to address the demands of
the multiple approaches currently used to handle evidential
reasoning.</p>
    </sec>
    <sec id="sec-6">
      <title>V. SUMMARY AND CONCLUSIONS</title>
      <p>After identifying some concepts regarding the process of
transforming masses of evidence into knowledge, we explored
the need for formal representations of evidential processes as a
means to provide cross-fertilization among domains that
depend on processes of evidential reasoning. Among these,
intelligence analysis is paradigmatic. We proposed a
probabilistic ontology of evidence as a key enabler of this
vision. Implementation of this concept must be cognizant of
institutional and cultural barriers. In conclusion, we argue that
the benefits of effective evidential reasoning and knowledge
sharing tools far outpace the difficulties in implementing
them.</p>
    </sec>
    <sec id="sec-7">
      <title>ACKNOWLEDGEMENTS The authors gratefully acknowledge helpful comments from anonymous reviewers of an earlier draft of this paper. REFERENCES</title>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          [1]
          <string-name>
            <given-names>D. A.</given-names>
            <surname>Schum</surname>
          </string-name>
          ,
          <source>Evidential Foundations of Probabilistic Reasoning</source>
          . New York: John Wiley &amp; Sons, Inc.,
          <year>1994</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          [2]
          <string-name>
            <given-names>G.</given-names>
            <surname>Gigerenzer</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Z.</given-names>
            <surname>Swijtink</surname>
          </string-name>
          ,
          <string-name>
            <given-names>T.</given-names>
            <surname>Porter</surname>
          </string-name>
          ,
          <string-name>
            <given-names>L.</given-names>
            <surname>Daston</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J.</given-names>
            <surname>Beatty</surname>
          </string-name>
          , and
          <string-name>
            <given-names>L.</given-names>
            <surname>Kruger</surname>
          </string-name>
          .
          <source>The Empire of Chance: How Probability Changed Science and Everyday Life</source>
          . Cambridge, Cambridge University Press,
          <year>1990</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          [3]
          <string-name>
            <given-names>D.</given-names>
            <surname>Kahneman</surname>
          </string-name>
          ,
          <string-name>
            <given-names>P.</given-names>
            <surname>Slovic</surname>
          </string-name>
          ,
          <article-title>and</article-title>
          <string-name>
            <surname>A</surname>
          </string-name>
          . Tversky, eds.,
          <source>Judgement Under Uncertainty: Heuristics and Biases</source>
          . Cambridge: Cambridge Univ. Press,
          <year>1982</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          [4]
          <string-name>
            <given-names>S.</given-names>
            <surname>Bringsjord</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J.</given-names>
            <surname>Taylor</surname>
          </string-name>
          , A. Shilliday,
          <string-name>
            <given-names>M.</given-names>
            <surname>Clark</surname>
          </string-name>
          and
          <string-name>
            <given-names>K.</given-names>
            <surname>Arkoudas</surname>
          </string-name>
          . “
          <article-title>Slate: An Argument-Centered Intelligent Assistant to Human Reasoners,</article-title>
          ” in
          <string-name>
            <given-names>F.</given-names>
            <surname>Grasso</surname>
          </string-name>
          ,
          <string-name>
            <given-names>N.</given-names>
            <surname>Green</surname>
          </string-name>
          ,
          <string-name>
            <given-names>R.</given-names>
            <surname>Kibble</surname>
          </string-name>
          and C. Reed (eds.)
          <source>Proceedings of the 8th International Workshop on Computational Models of Natural Argument (CMNA 8)</source>
          , Patras, Greece,
          <year>2008</year>
          . http://kryten.mm.rpi.edu/Bringsjord_etal_Slate_cmna_crc_061708.pdf.
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          [5]
          <string-name>
            <given-names>L.</given-names>
            <surname>Martignon</surname>
          </string-name>
          and
          <string-name>
            <given-names>K. B.</given-names>
            <surname>Laskey</surname>
          </string-name>
          . “Taming Wilder Demons:
          <article-title>Bayesian Benchmarks for Fast and Frugal Heuristics.” In Simple Heuristics that Make us Smart</article-title>
          .
          <source>The ABC Group</source>
          , Oxford University Press,
          <year>1999</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          [6]
          <string-name>
            <given-names>J. R.</given-names>
            <surname>Anderson</surname>
          </string-name>
          and
          <string-name>
            <given-names>M.</given-names>
            <surname>Matessa</surname>
          </string-name>
          . “
          <article-title>Explorations of an Incremental, Bayesian Algorithm for Categorization</article-title>
          .
          <source>” Machine Learning</source>
          <volume>9</volume>
          (
          <issue>4</issue>
          ),
          <fpage>275</fpage>
          -
          <lpage>308</lpage>
          ,
          <year>1992</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          [7]
          <string-name>
            <given-names>D. Von</given-names>
            <surname>Winterfeld</surname>
          </string-name>
          and
          <string-name>
            <given-names>W.</given-names>
            <surname>Edwards</surname>
          </string-name>
          .
          <source>Decision Analysis and Behavioral Research</source>
          . Cambridge, U.K.: University Press,
          <year>1986</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation>
          [8]
          <string-name>
            <given-names>W.</given-names>
            <surname>Edwards</surname>
          </string-name>
          ,
          <string-name>
            <given-names>R. F.</given-names>
            <surname>Miles</surname>
          </string-name>
          , Jr., and D. von Winterfeldt,
          <article-title>Advances in Decision Analysis: From Foundations to Applications</article-title>
          . Cambridge, U.K.: University Press,
          <year>2007</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation>
          [9]
          <string-name>
            <surname>D.E. Heckerman.</surname>
          </string-name>
          “
          <article-title>Probabilistic interpretations for MYCIN's certainty factors”</article-title>
          . In J. Lemmer and L. Kanal, editors,
          <source>Uncertainty in Artificial Intelligence</source>
          Vol
          <volume>1</volume>
          , pages
          <fpage>167</fpage>
          -
          <lpage>196</lpage>
          , Amsterdam: Elsevier,
          <year>1986</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation>
          [10]
          <string-name>
            <given-names>S.</given-names>
            <surname>Mahoney</surname>
          </string-name>
          ,
          <string-name>
            <given-names>D.</given-names>
            <surname>Buede</surname>
          </string-name>
          , and
          <string-name>
            <given-names>J.</given-names>
            <surname>Tatman</surname>
          </string-name>
          . “
          <source>Patterns of Report Relevance.” Proceedings of the Third Annual Bayesian Modeling Applications Workshop</source>
          ,
          <year>2005</year>
          . http://www.intel.com/research/events/bayesian2005/docs/MahoneyReportRelevance.pdf.
        </mixed-citation>
      </ref>
      <ref id="ref11">
        <mixed-citation>
          [11]
          <string-name>
            <given-names>E.</given-names>
            <surname>Wright</surname>
          </string-name>
          and
          <string-name>
            <given-names>K.</given-names>
            <surname>Laskey</surname>
          </string-name>
          . “
          <article-title>Credibility Models for Multi-Source Fusion</article-title>
          .
          <source>” Proc. 9th International Conf. on Information Fusion</source>
          ,
          <year>2006</year>
          . http://ite.gmu.edu/~klaskey/papers/Wright_Laskey_Credibility.pdf
        </mixed-citation>
      </ref>
      <ref id="ref12">
        <mixed-citation>
          [12]
          <string-name>
            <surname>K. B. Laskey</surname>
          </string-name>
          , “
          <article-title>MEBN: A Language for First-</article-title>
          <source>Order Bayesian Knowledge Bases” Artificial Intelligence</source>
          ,
          <volume>172</volume>
          (
          <issue>2-3</issue>
          ),
          <fpage>200</fpage>
        </mixed-citation>
      </ref>
      <ref id="ref13">
        <mixed-citation>
          [13]
          <string-name>
            <surname>K. B. Laskey</surname>
            ,
            <given-names>P. C. G.</given-names>
          </string-name>
          <string-name>
            <surname>Costa</surname>
          </string-name>
          , and T. Jensen, “
          <article-title>Probabilistic Ontologies for Knowledge Fusion,”</article-title>
          <source>in Proc. 11th International Conf. on Information Fusion</source>
          , Cologne, Germany,
          <year>2008</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref14">
        <mixed-citation>
          [14]
          <string-name>
            <given-names>P. C. G.</given-names>
            <surname>Costa</surname>
          </string-name>
          , “
          <article-title>Bayesian Semantics for the Semantic Web</article-title>
          ,”
          <source>PhD Dissertation</source>
          , Dept. of Sys. Eng. and
          <string-name>
            <surname>Op. Res.</surname>
          </string-name>
          ,
          <source>George Mason Univ. 315p, Fairfax</source>
          ,
          <string-name>
            <surname>VA</surname>
          </string-name>
          , USA,
          <year>2005</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref15">
        <mixed-citation>
          [15]
          <string-name>
            <given-names>J.</given-names>
            <surname>Pearl</surname>
          </string-name>
          ,
          <article-title>Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference</article-title>
          . San Mateo, CA, USA: Morgan Kaufmann Publishers,
          <year>1988</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref16">
        <mixed-citation>
          [16]
          <string-name>
            <surname>J. B. Kadane</surname>
            , and
            <given-names>D. A.</given-names>
          </string-name>
          <string-name>
            <surname>Schum</surname>
            ,
            <given-names>A Probabilistic</given-names>
          </string-name>
          <article-title>Analysis of the Sacco and Vanzetti Evidence</article-title>
          . New York: John Wiley &amp; Sons,
          <year>1996</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref17">
        <mixed-citation>
          [17]
          <string-name>
            <given-names>G.</given-names>
            <surname>Shafer</surname>
          </string-name>
          , “
          <article-title>Combining AI and</article-title>
          OR,” University of Kansas School of Business, Working Paper No.
          <volume>195</volume>
          ,
          <year>April 1988</year>
          .
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>