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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Fuzzy Synsets, and Lexicon-Based Sentiment Analysis</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Sayyed-Ali Hossayni</string-name>
          <email>hossayni@iran.ir</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mohammad-R Akbarzadeh-T</string-name>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Diego Reforgiato Recupero</string-name>
          <email>diego.reforgiato@unica.it</email>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Aldo Gangemi</string-name>
          <email>aldo.gangemi@lipn.univ-paris13.fr</email>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Josep Lluís de la Rosa i Esteva</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Agents Research Lab, TECNIO Centre EASY, University of Girona</institution>
          ,
          <addr-line>Girona, Catalonia</addr-line>
          ,
          <country country="ES">Spain</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Department of Mathematics and Computer Science, University of Cagliari</institution>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Laboratoire d'Informatique de Paris Nord, Université Paris 13 - CNRS</institution>
          ,
          <country country="FR">France</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>SCIIP center of excellence, Ferdowsi University of Mashhad</institution>
          ,
          <addr-line>Mashhad</addr-line>
          ,
          <country country="IR">Iran</country>
        </aff>
        <aff id="aff4">
          <label>4</label>
          <institution>STLab, Institute of Cognitive Sciences and Technologies (ISTC)</institution>
          ,
          <addr-line>CNR</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>One of the widely used approaches to Sentiment Analysis (SA) is lexicon-based approach that depends on sentiment-annotated lexical resources (such as SentiWordNet (SWN)). A broad variety of such resources are Synsetbased Lexical Databases (SLDs) (e.g. SWN is based on WordNet (WN)) and represent sentiment degrees of synonym groups of LDs, called “synsets.” However, synsets themselves were open to criticism because although, in reality, not all the members of a synset represent its meaning with the same degree, in SLDs, they are, identically, considered as members of their synset. Therefore, the fuzzy version of synsets was proposed in a small number of previous studies. Fuzzy synsets can upgrade such lexicon-based SA by which the future SA systems can discriminate between word-senses of a same synset, how much each of them contains the sentiment load of that synset. But, to the best of our knowledge, none of the studies on fuzzy synsets has proposed any algorithm for providing fuzzy versions of “predefined synsets” of an SLD. In this study, we present the idea of an algorithm for constructing fuzzy version of any SLD of any language, given a corpus of that language and a word-sense-disambiguation system of that language/SLD.</p>
      </abstract>
      <kwd-group>
        <kwd>Sentiment analysis</kwd>
        <kwd>lexicon-based approach</kwd>
        <kwd>Synsets</kwd>
        <kwd>Fuzzy synsets</kwd>
        <kwd>Probability to possibility transformation</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        Sentiment Analysis (SA) has received broad attention in the recent decade. However,
extracting sentiment information from unstructured text data is a multi-disciplinary
problem, considering that sentiments can be expressed in numerous forms and
combinations where it might be difficult to find any sort of regular behavior.
From one point of view, the majority of approaches to SA are divided into two
categories: “Machine learning approach,” and “Lexicon-based (LB) approach” [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ]. The
1 Corresponding author
former utilizes Machine Learning algorithms mainly to solve SA as a regular text
classification problem using syntactic and/or linguistic features, whereas the latter
basically utilizes an opinion lexicon (i.e. a list of opinion words and phrases), and a
set of rules for determining the opinions orientations in a sentence and also considers
opinion shifters and but-clauses [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ]. The former provides maximum accuracy
whereas the latter provides better generality [
        <xref ref-type="bibr" rid="ref26">26</xref>
        ]. However, “Lexicon-based approach is
more often used recently” 2 [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ]. LB approach (utilizing opinion lexicons [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ] as well
as generating them [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ] for SA purposes) is further divided into dictionary-based and
corpus-based categories. In the former, the domain of the opinion-words is as wide as
the domain of a complete dictionary, whereas in the latter the domain is limited to
those included in the analyzed corpus (corpora). The corpus-based approach, alone, is
not as effective (for identifying all opinion words) as the dictionary-based approach
because it is hard to prepare a huge corpus to cover all the English words. Conversely,
the corpus-based approach has the major advantage of finding domain- &amp;
contextspecific opinion words and their orientations using a domain corpus [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ].
In brief, based on the [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ] [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ] categorizations, LB-SA approaches are categorized to
dictionary-based and Corpus-based the latter of which has the sub-approaches of
Statistical, Semantic, and NLP3-based. Synset-based Lexical databases (SLDs) such as
WordNet (WN) [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] that organize words of a language in synonym groups -called
synsets-4 are being utilized by dictionary-based approach as well as semantic
subapproach of the corpus-based approach in SA, several of which take advantage of the
synset-based opinion lexicons such as SentiWordNet (SWN) [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ][
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. (SWN is a
lexical resource in which each WN synset is associated to Objective, Positive, and
Negative values in the continuous interval [
        <xref ref-type="bibr" rid="ref1">0,1</xref>
        ] for describing how objective, positive and
negative the terms contained in that synset are). However, in the prevalent SLDs such
as WN all the members of a synset are supposed to belong to a synset with a same
degree and convey the meaning of that synset at a same level. In other words, such
SLDs assume synsets to be crisp and non-fuzzy sets. This simple assumption does not
always properly model the complex nature of “meaning” in natural languages. For
example, consider the following synset of the WN: Synset(‘flower.n.02’): {flower,
bloom, blossom}. Flower, bloom, and blossom are each addressing one of the
wordsenses of the Synset(‘flower.n.02’). Upon WN information, this synset contains the
word-senses with the meaning “reproductive organ of angiosperm plants especially
one having showy or colorful parts”; but, obviously, the compatibility of its three
word-senses with its definition is not the same that might be considered as a drawback
for such SLDs. In the next section, we address a new generation of synsets, fulfilling
this drawback.
2 There is a bit of modification in the phrase, regarding that it is a part of a larger sentence.
3 Natural Language Processing
4 WN [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] is an LD for the English language that in addition to grouping English words into
synsets, provides short definitions, usage of examples of the synsets, and a number of
relations among those synsets and their members.
      </p>
    </sec>
    <sec id="sec-2">
      <title>Fuzzy synsets, a more informative version of synsets</title>
      <p>
        As mentioned above, usually, it is not the case that compatibility of the word-senses
of a synset with the meaning of that synset is in the same degree. It is the reason for
which the concept of fuzzy synsets was born. Since 2005, some studies have been
conducted where a synset is considered a fuzzy set. In 2005, Veldall [
        <xref ref-type="bibr" rid="ref28">28</xref>
        ] , without
using the term “fuzzy synset” (even without using the term “synset”), proposed an
algorithm for creating fuzzy semantic classes5 (i.e. synsets) and stated that “different
words can represent more or less typical instances of a given concept. Some words
may represent clear-cut instances of a given category, while others represent
peripheral or border-line cases we let a membership value represent the degree of typicality
or compatibility that a word holds toward the concept a class6 expresses.” In 2010,
Borin et al. [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] who, to the best of our knowledge, coined the term “fuzzy synsets,”
viewed them from a pure linguistics point of view, and based them on “synonymy
avoidance” [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] concept: “There is a postulated universal linguistic principle of (full)
synonymy avoidance [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. his being an intrinsic characteristic of human language… a
dictionary whose fundamental organization is based on the notion of synonymy
almost by definition cannot present a faithful reflection of our lexical knowledge, at
least not from a linguistic point of view. WN synonyms, as originally defined, should
be interchangeable in some contexts, but not necessarily in all contexts [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ]; in fact,
even one context is enough [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. This indicates that synonymy in the WN sense may not
correspond exactly to how linguists and lexicographers understand this term, and
further that it may be a matter of degree.” In the mentioned study, Borin et al. [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ][
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]
utilized Synlex [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ] and SALDO [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] Swedish lexical resources by which they
presented an algorithm to create the Swedish fuzzy synsets. In 2011, Gonçalo and Gomes
[
        <xref ref-type="bibr" rid="ref15">15</xref>
        ] looked at fuzzy synsets from a linguistics point of view expressing that “from a
linguistic point of view, word senses are not discrete and cannot be separated with
clear boundaries [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ] [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]7. Sense division in dictionaries and lexical resources are
most of the times artificial... A more realistic approach for coping with this fact is to
represent synsets as models of uncertainty, such as fuzzy sets.” They [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ] applied
their algorithm on the Portuguese language and proposed Portuguese fuzzy synsets.
However, all the mentioned studies have a missing link for being able to upgrade
LBSA systems. That missing link will be addressed in the following section.
3
      </p>
    </sec>
    <sec id="sec-3">
      <title>Fuzzy synset-based lexical databases and upgrading lexiconbased sentiment analysis</title>
      <p>
        In the previous section, we mentioned the drawback of crisp synsets. This drawback
also permeates synset-based SA methods including SLD-utilizing LB-SA methods8,
5 He applied his algorithm on Norwegian language.
6 i.e. synset
7 the original reference was older version of [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]
8 There are also other synset-based SA methods to which we do not address in this short paper.
because they use the same crisp synsets. For instance, SWN 3.0 assigns a sentiment
pair (positive, negative) to each of the WN synsets and assumes all of its word-senses
to have the same sentiment load. Such LB-SA methods can be upgraded by fuzzy
versions of their utilized crisp synsets, discriminating between word-senses of one
fuzzy synset, how much each of its word-senses contains the sentiment load of that
fuzzy synset, and thus, assigning a low (high) semantic load to low (high)
membership-graded word-senses of that synset. For example, the Synset(‘run_into.v.01’) is
annotated as (+0, -0.25) in SWN 3.0. Suppose the fuzzy version of this synset to be
{(run_into, 1.0), (encounter, 0.4)}. Then, considering that the word-sense ‘encounter’
is not fully compatible with this synset (40% compatible), it is not precise to assign
(+0, -0.25) (the sentiment load of that synset) to this word-sense in SA process. Its
sentiment load does not inherit all the negativity of its synset; yet, it might inherit
sentiment of other synsets to which it is compatible (e.g. ‘run_into’ is also word-sense
of Synset(‘run_into.v.02’), Synset(‘hit.v.02’), and Synset(‘meet.v.01’)) regarding
which upgraded SA methods shall use “graded word-sense assignment” [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ][
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]
and/or fuzzy WSD [
        <xref ref-type="bibr" rid="ref27">27</xref>
        ][
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] and specify the grade by which ‘run_into’ belongs to the
other 3 synsets and then aggregate the semantic load of all those synsets based on the
membership (intra-synset) and grade (inter-synset) of ‘run_into’ to each of those
synsets. Then, the aggregated value would be more informative than simply using
(+0.0, -0.25) for it, inheriting from its synset. But, to the best of our knowledge, none
of the few studies towards fuzzy synsets have proposed any algorithm for
constructing fuzzy version of an SLD, converting its synsets from crisp sets to fuzzy sets,
specifying membership-degree of their members (word-senses). Thus, for the mentioned
upgrade in SLD-utilizing LB-SAs, an algorithm is yet required for converting the
synsets of the existing SLDs to a fuzzy version.
4
      </p>
    </sec>
    <sec id="sec-4">
      <title>Idea of a language-free algorithm for providing fuzzy synsets</title>
      <p>
        In this study, we propose an idea for providing fuzzy version of synsets for predefined
synsets: Consider a large-enough corpora of documents of one language; based on the
relative frequency of a word-sense of an arbitrary synset ‘s’ (of that language) to the
frequency of other word-senses of ‘s’, in the corpus, we can extract the probability of
utility of that word-sense among other word-senses of ‘s’. Then, we can convert those
probabilities to possibility values9 by means of the probability to possibility
transformations, proposed by Prade and Dubois in 1983 [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] and 1993 [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Then, based on the
definition that Zadeh has provided from possibility, in his paper while proposing the
possibility theory [
        <xref ref-type="bibr" rid="ref30">30</xref>
        ], we can conclude that the extracted possibility values are the
same as the membership degrees of the word-senses of the corresponding synset.
By means of this method, we can provide a language-free algorithm for assigning
membership functions to synsets of any LD (WN or any other). The only required
input of the algorithm, resulting from the suggested idea, will be a large-enough
corpus of documents of the opted arbitrary-language (big enough so that relative
fre9 By possibility, we are addressing the concept that is subject of Possibility Theory, proposed
by Zadeh in 1978 [
        <xref ref-type="bibr" rid="ref30">30</xref>
        ].
quency of word-senses can provide trustable probability values) and a precise Word
Sense Disambiguation (WSD)10 system (trustable so that the frequency of
wordsenses will be real frequencies and not false-detections of word-senses).
5
      </p>
    </sec>
    <sec id="sec-5">
      <title>Conclusion and future works</title>
      <p>In this study, we discussed on the potential of the fuzzy synsets in upgrading the
synset-based lexicon-based Sentiment Analysis. We highlighted the lacking of an
algorithm for generating fuzzy version of predefined synsets in any synset-based lexical
database (SLD) (e.g. WordNet (WN)), and suggested an idea of a language-free
algorithm that provides fuzzy versions of synsets of any SLD, given a large corpus of
documents of the corresponding language and a Word Sense Disambiguation (WSD)
system associated with that SLD. In the conference version of this study, we extend
the idea, come up with the corresponding algorithm, and also apply it on the English
language using the open American national corpus (OANC) and UKB (a well-known
graph-based WSD), for constructing fuzzy synsets of English language based on WN.
6
7</p>
    </sec>
    <sec id="sec-6">
      <title>Acknowledgments References</title>
      <p>
        AGAUR res. grant 2013 DI 012; MARIO EU Proj.; IDENTITY– n.690907
H2020MSCA-RISE-2015; QWAVES- RTC-2014-2576-7; ANSwER- RTC-2015-4303-7;
CSI-2014 SGR 1469; and NIR-VANA– n. 681787-2 H2020-INNOSUP-2015-2.
10 In cognitive and computational linguistics, Word Sense Disambiguation (WSD) is an open
problem belonging to ontology and natural language processing. Considering a word in a
sentence, WSD identifies which of its senses is used in that sentence (for multi-sense words)
[
        <xref ref-type="bibr" rid="ref29">29</xref>
        ].
      </p>
    </sec>
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