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							<persName><forename type="first">Oleksandr</forename><surname>Gordieiev</surname></persName>
							<email>oleksandr.gordieiev@gmail.com</email>
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								<orgName type="institution">Lutsk National Technical University</orgName>
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									<addrLine>Lvivska Str., 75</addrLine>
									<postCode>43018</postCode>
									<settlement>Lutsk</settlement>
									<country key="UA">Ukraine</country>
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							<persName><forename type="first">Daria</forename><surname>Gordieieva</surname></persName>
							<email>gordeyeva.daria@gmail.com</email>
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								<orgName type="institution">Lutsk National Technical University</orgName>
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									<addrLine>Lvivska Str., 75</addrLine>
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									<settlement>Lutsk</settlement>
									<country key="UA">Ukraine</country>
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							<persName><forename type="first">Vyacheslav</forename><surname>Kharchenko</surname></persName>
							<email>v.kharchenko@csn.khai.edu</email>
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								<orgName type="institution">National Aerospace University &quot;Kharkiv Aviation Institute&quot;</orgName>
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									<settlement>Kharkiv</settlement>
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							<persName><forename type="first">Inna</forename><surname>Kondius</surname></persName>
							<email>innastk@ukr.net</email>
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								<orgName type="institution">Lutsk National Technical University</orgName>
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									<addrLine>Lvivska Str., 75</addrLine>
									<postCode>43018</postCode>
									<settlement>Lutsk</settlement>
									<country key="UA">Ukraine</country>
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							<persName><forename type="first">Ievgen</forename><surname>Brezhniev</surname></persName>
							<email>e.brezhnev@csn.khai.edu</email>
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								<orgName type="institution">National Aerospace University &quot;Kharkiv Aviation Institute&quot;</orgName>
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									<addrLine>Chkalov Str., 17</addrLine>
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								<orgName type="department">International Conference on Computational Linguistics and Intelligent Systems</orgName>
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									<addrLine>May 12-13</addrLine>
									<postCode>2022</postCode>
									<settlement>Gliwice</settlement>
									<country key="PL">Poland</country>
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					<term>Scenario approach</term>
					<term>extended scenario model</term>
					<term>software quality</term>
					<term>software quality assessment</term>
					<term>software fault injection</term>
					<term>applied intelligent systems</term>
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<div xmlns="http://www.tei-c.org/ns/1.0"><p>A software quality assessment (SQA) is a mandatory process in ensuring the required quality of software as part of the overall software development process. The constant development of existing information technologies and the emergence of new information technologies (artificial intelligence, cloud computing, virtual and augmented reality, etc.) and systems increase the requirements for the assessment process and software quality assurance. Existing approaches to a quality assessment have significant problems: a weak formalization in the planning SQA tasks; a high degree of uncertainty in decision making by the responsible participants of the process; insufficient or redundant information; determining the number of participants in the software assessment process.</p><p>Recent publications in open access, which consider the scenario approach in general and in relation to the tasks of assessing the software quality, were analyzed. More detailed attention was paid to the description of the scenario approach for SQA tasks. Existing approaches to formalizing the scenario approach do not take into account all the features of SQA. The purpose of the article is to develop a model of a software quality assessment scenario. The article proposes a representation and description of the software quality assessment scenario model, which consists of the following 7 elements: initial conditions, input data, actions, transition data, corrective factors, roles, and results. It has been found that a scenario during its life cycle can be in the following states: scenario on paper, pilot scenario, and real scenario. During the transition to each state, sets of scenario elements can change. To formalize such changes, additional operations on the scenario were introduced and formally described: an operation of exclusion and an operation of inclusion. Variants of inequalities of scenario elements sets were considered for the scenario on paper and the pilot scenario. As a result, the extended model of the SQA scenario was developed and presented. It can be used for software quality assessment based on the software fault injection. And can be considered as universal model for SQA also for applied intelligent systems.</p></div>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1.">Introduction and related works analysis</head><p>A software quality assessment is a mandatory process in ensuring the required software quality as part of the overall software development process. The constant development of existing information technologies and the emergence of new information technologies (artificial intelligence, cloud computing, virtual and augmented reality, etc.) and systems increase the requirements for the assessment process and software quality assurance. This evolution among the existing approaches and paradigms of software quality assessment has insufficient dynamics, as there are significant problems, including weak formalization in the planning software quality assessment tasks, a high degree of uncertainty in decision-making by responsible participants of the process, lack or excess of necessary initial information, formation of participants group of software quality assessment process. Especially such problems are clearly expressed in the methods of software quality assessment based on the software fault injection.</p><p>One of the existing approaches that can formalize the software quality assessment process to the required level is the scenario approach. The analyzed works on the organization and formalization of the software quality assessment process describe some cases in the development of the software quality assessment process <ref type="bibr" target="#b0">[1]</ref><ref type="bibr" target="#b1">[2]</ref><ref type="bibr" target="#b2">[3]</ref><ref type="bibr" target="#b3">[4]</ref>, and the scenario approach is described in part, at the level of some elements <ref type="bibr" target="#b4">[5]</ref><ref type="bibr" target="#b5">[6]</ref><ref type="bibr" target="#b6">[7]</ref>. There are works on the scenario approach, but it is considered in general as an approach to management <ref type="bibr" target="#b7">[8]</ref><ref type="bibr" target="#b8">[9]</ref><ref type="bibr" target="#b9">[10]</ref><ref type="bibr" target="#b10">[11]</ref><ref type="bibr" target="#b11">[12]</ref>, without taking into account the specifics of the software quality assessment in general. The scenario approach is not conceptually considered in the works on software quality assessment based on the software fault injection <ref type="bibr" target="#b12">[13,</ref><ref type="bibr" target="#b13">14]</ref>. In some papers <ref type="bibr" target="#b14">[15]</ref> on software quality assessment, the scenario model is considered in general, but it does not take into account important features of this process.</p><p>Thus, the aim of the article is to develop an extended model of software quality assessment scenario, which takes into account its elements, features of state change, etc.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.">The concept of scenario</head><p>We will present and formally describe a scenario-oriented approach to software quality assessment. First of all, consider the concept of the scenario. The word «scenario» comes from the Latin word «scaena», which translates as «scene». Initially, the scenario was considered as a literary and dramatic work, written as a basis for the production of film or television, and other events in the theater and elsewhere. In the twentieth century, Herman Kahn, a leading analyst at the RAND Corporation <ref type="bibr" target="#b15">[16]</ref>, adapted this term for use in writing possible stories of future developments. Kahn is often cited as a father of scenario planning. Oliver Sparrow, one of the founders of the scenario approach at the Royal Dutch Shell Corporation, distinguished four modern interpretations of this term <ref type="bibr" target="#b16">[17]</ref>:</p><p> as «a sensitivity analysis» whether in cash flow management, broader risk assessment, or project management;  as synonymous with the concept of «contingency plan» in military or civilian contingency planning, determining who and what to do in the event of an emergency;</p><p> as synonymous with a contingency plan in corporate or public policy;  in the sense of «logically agreed assumptions about the future» in decision-making and strategy formation.</p><p>All the main definitions are summarized by the Dutch researcher Philip Van Notten in the following definition <ref type="bibr" target="#b17">[18]</ref>: a scenario is a consistent description of alternative hypothetically possible variants for future events, which reflects different perspectives on the past, present, and future, and which can be the basis for action planning.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.">Formalized representation of the model</head><p>Adapting the presented definition of the scenario for software quality assessment, we obtain the following interpretation: a software quality assessment scenario is a product of planning and describing a (continuous) sequence of actions aimed at software quality assessment, which includes a description of initial conditions, inputs, expected results (hypotheses), corrective factors and distribution of participant roles in software quality assessment process. Among the process participant roles are the following: organizer (research engineer) of the software quality assessment process (scenario developer), head of the software testing team (quality team leader), tester (quality engineer), user. Thus, the software quality assessment scenario includes the following 7 elements: actions, transition data transmitted from stage to stage, roles, input data, corrective factors, initial conditions, expected result, or hypothesis. Elements of the scenario are presented in general form: graphic (Fig. <ref type="figure" target="#fig_1">1</ref>) and formal form:  Experimentally, it was found that the scenario during its life cycle (Fig. <ref type="figure" target="#fig_2">2</ref>) evolves and is presented in the following three states: </p><formula xml:id="formula_0">   1 p k k inc I ons E ce NCONSC   -a set</formula></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head></head><p>«pilot scenario» (PSAQSW -Pilot Scenario of Assessment of Quality of Software). This is a scenario on paper that runs in test mode. Such a scenario is needed to work out and refine the scenario on a real test case. As a rule, the number of participants involved in the scenario is minimal. Typically, this scenario differs from the scenario on paper by refining the scenario elements. To indicate this state of the scenario for each set an index «P» is added ( <ref type="formula">3</ref> </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>;</head><p>(3)</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head></head><p>«real scenario» (RSAQSW -Real Scenario of Assessment of Quality of Software). This state of the scenario is used to assess the software quality for the actual object of research. As a rule, it can differ from the pilot scenario due to the clarifications that are made to it in the process of implementation. To indicate this state of the scenario for each set an index «R» is added (4):</p><formula xml:id="formula_1">, , , , , , R R R R R R R R N O INCONCE C INDASCE ACTSCE TRA DAT R SAQSW CR OLSCE RES C FA S T E     . (4)</formula><p>Thus, we will refine the general record for the software quality assessment scenario based on the state of the scenario and add a «VOS» index for each set, which indicates the state of the scenario (VOS -Variant Of Scenario). Thus, the index «VOS» can have the following values: S -SPAQSW -Scenario on Paper of Assessment of Quality of Software, P -PSAQSW -Pilot Scenario of Assessment of Quality of Software, R -RSAQSW -Real Scenario of Assessment of Quality of Software) (</p><formula xml:id="formula_2">VOS VOS V O V S OS O VOS V S VOS S D INCONCE INDASCE ACTSCE TRAN AT ROLSCE AQSW CORFAC S T RES CE        . (<label>5): , , , , ,,</label></formula><formula xml:id="formula_3">)<label>5</label></formula></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.">Operation on the scenario</head><p>During its life cycle, the scenario can be refined, i.e. modified. The article does not consider and analyze examples and reasons in which cases the scenario may change, because such material requires more volume of the article and may claim a separate article. It was found that such changes can be reduced to the following two operations on scenario elements:  exclusion (deleting) a scenario element (EOE VOS,VOS,TEOS -Exclusion Of Element);  inclusion (adding) a scenario element (IOE VOS,VOS,TEOS -Inclusion Of Element). A scenario element conversion operation is also possible, but it is not considered because a pair of exclusion-inclusion operations can represent it. When entering additional sets for each of them, the index «TEOS» was added, which indicates the variant of the scenario (TEOS -Type of Elements Of Scenario). Thus, the index «TEOS» can take the following values:</p><formula xml:id="formula_4">INC -INCONSCE -INitial CONditions of SCEnario, IND -INDASCE -INput DAta of SCEnario, ACT -ACTSCE -ACTions of SCEnario, TRA -TRANDAT -TRANsition DATa, COR -CORFACT -CORrective FACTors, ROL -ROLSCE -ROLes of SCEnario, RES -RESSCE -RESults of SCEnario).</formula><p>For a more formal description of such changes in the scenario, we introduce additional notation -S VOS,VOS , which can be of two types: S S,Pa transition state of the scenario on paper to the pilot scenario, S P,Ra transition state of the pilot scenario to the real scenario. Consider possible variants of inequalities of scenarios and their elements for transition states (Fig. <ref type="figure" target="#fig_2">2</ref>).</p><p>Formally, we present a description of the operations of exclusion (EOE VOS,VOS,TEOS ) and inclusion (IOE VOS,VOS,TEOS ). To do this, enter the following additional sets:  a set of initial elements from the corresponding set (SOE TEOS -Set of Original Elements). This set includes all elements of the initial scenario to which the corresponding operation will be applied;  a set of elements that are excluded from the corresponding set (SEXE TEOS -Set of Excluding Elements). Because only one element can be deleted from the set of initial scenario elements when using an exclusion operation, such set will consist of one element. Although such elements in the set can accumulate when the exclusion operation for the initial scenario is used repeatedly;  a set of excluded elements from the corresponding set (SEE TEOS -Set of Excluded Elements). Because only one element can be deleted from a set of initial scenario elements when using an exclusion operation, such set will consist of one element, although such elements in the set can accumulate when the exclusion operation for the initial scenario is used repeatedly. That is, the element of the scenario when using the exclusion operation transits from the set of excluding elements to the set of excluded elements;  a set of resulting elements from the corresponding set (SRE TEOS -Set of Resulting Elements). Such set is formed as the difference between the set of initial elements and the set of excluding scenario elements, or as the sum of the set of initial elements and the set of included elements;  a set of included elements from the corresponding set (SIE TEOS -Set of Included Elements). This is a set that consists of an element or elements that will be added to the set of initial elements, and such combination of sets forms the resulting set of scenario elements.</p><p>In general, the operation of exclusion (deleting) an element (EOE VOS,VOS,TEOS ) for each state of the scenario is written as follows ( <ref type="formula">6</ref> </p><formula xml:id="formula_5">             (7)</formula><p>The life cycle of the software quality assessment scenario includes 3 stages, which correspond to its three states (Fig. <ref type="figure" target="#fig_2">2</ref>):</p><p>1. Stage of forming the «scenario on paper»; 2. Stage of forming the «pilot scenario»; 3. Stage of forming the «real scenario». Such stages of forming a software quality assessment scenario can be performed only sequentially: at the beginning the stage of forming a scenario on paper, then the pilot and real scenarios.</p><p>Moving from stage to stage, the software quality assessment scenario can change during its life cycle. Such changes are a consequence of scenario element exclusion and (or) inclusion operations.</p><p>For the transition state S S,P there are two variants of inequalities. The first is when the «scenario on paper» is not equal to the pilot scenario, i.e. SPAQSW PSAQSW </p><p>. If we consider such inequality at the level of elements, then there are variants for equality and inequality of such elements. Consider the variants for inequalities at the level of the elements of the «scenario on paper» and «pilot scenario» and present them as an exhaustive simple search, excluding the variant of complete equality (Table <ref type="table">1</ref>). For example, one such variant of inequalities (Table <ref type="table">1</ref>, line 22) will be described in more detail. This variant consists of the following ratios: . Since the inequalities of the scenarios indicate the use of the operation of inclusion or exclusion, we will describe in more detail the following inequalities for both operations:</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Table 1</head><p>Variants of inequalities of sets of elements for «scenario on paper» and «pilot scenario» </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head></head><formula xml:id="formula_6">      2.       = 3.      =  4.      = = 5.     =   6.     =  = 7.     = =  8.     = = = 9.    =    10.    =   = 11.    =  =  12.    =  = = 13.    = =   14.    = =  = 15.    = = =  16.    = = = = 17.   =     18.   =    = 19.   =   =  20.   =   = = 21.   =  =   22.   =  =  = … 125. = = = = =   126. = = = = =  = 127. = = = = = =  128. = = = = = = =</formula><p> if an exclusion operation was applied to elements of the set of initial conditions, actions, corrective factors and roles for the scenario (8-11): </p><p>The second variant of inequalities, when the «scenario on paper» is identical to the «pilot scenario», i.e. SPAQSW PSAQSW </p><p>. Thus, for each set of «scenario on paper» corresponds to the equivalent set of «pilot scenario», i.e. For the transition state S P,R there are the following two variants of inequalities. The first is when the «pilot scenario» is not equal to the «real scenario», i.e. PSAQSW RSAQSW  . Such inequality in the set of variants at the level of scenario elements is similar to the inequality of «scenario on paper» and «pilot scenario», given that as the coefficients for the scenario elements the coefficients in parentheses are considered, i.e. instead of the index «S» index «P» is considered, and instead of the index «P» the index «R» is considered (Table <ref type="table">1</ref>).</p><p>The second variant of inequalities, when the «pilot scenario» is identical to the «real scenario», i.e. PSAQSW RSAQSW </p><p>. Thus, each of the sets of elements of one scenario is equal to the corresponding set of another scenario, i.e. </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="5.">Application of the model</head><p>The proposed model can be used to assess the software quality using software fault injection <ref type="bibr" target="#b18">[19]</ref>. In particular, in the development and implementation of Fault Injection Testing (FIT) <ref type="bibr" target="#b19">[20]</ref>, which is used in the Research-and-Production Corporation «RADIY», different fault injection scenarios have been applied to assess the functional safety of FPGA projects and safety related FPGA based information and control systems of the nuclear power plant. Besides, different fault injection techniques and scenario based tools were used during successful certification of FPGA platform RadICS against requirements of Nuclear Regulatory Committee (US NRC).</p><p>To perform FIT, various profiles of defects are formed, which are injected in the electronic project, physical module, top-level software in the form of single and multiple defects. This diversity of profiles gives rise to a variety of FIT and quality assessment scenarios.</p><p>It should also be noted scenario approach application for software user interfaces usability assessment <ref type="bibr" target="#b20">[21]</ref> with use eye-tracking. Elements of such process (including different scenarios) are input data, initial conditions, actions, transition states, corrective factors, results and participants according to them roles.</p><p>Extended model of the software quality assessment scenario can be used for applied intelligent systems as to class information systems.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="6.">Conclusions</head><p>An extended model of software quality assessment scenario is presented and formally described in the article. Its using will formalize planning (initial conditions, input data, corrective factors, actions, transition states, roles and results) and scenario execution. These processes take into account possible features of scenario states, transition of scenario from state to state considering possible changes of sets of scenario elements.</p><p>Further research should be focused on the development and automation of realization of detailed scenarios for the quality assessment of software and FPGA projects considering cyber security issue and possibilities of injecting vulnerability (similar design faults/defects). Such approach will provide more complete assessing safety of FPGA platform based information and control systems in conditions of threats and insider intrusions. Another direction for research is a combination of profileoriented and scenario-oriented approaches to a single paradigm and more detail adaptation such the model for applied intelligent systems.</p></div><figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_0"><head></head><label></label><figDesc>of initial conditions of the software quality assessment scenario (INCONSCE -INitial CONditions of SCEnario), inconscean initial condition of the software quality assessment scenario; of input data of the software quality assessment scenario (INDASCE -INput DAta of SCEnario), indasceinput data of the software quality assessment scenario; of actions of the software quality assessment scenario (ACTSCE -ACTions of SCEnario), actscean action of the software quality assessment scenario;</figDesc></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_1"><head>Figure 1 :</head><label>1</label><figDesc>Figure 1: Graphical representation of an extended model of software quality assessment scenario</figDesc><graphic coords="3,73.50,241.44,448.88,375.72" type="bitmap" /></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_2"><head>Figure 2 :</head><label>2</label><figDesc>Figure 2: Software Quality Assessment Scenario Lifecycle</figDesc><graphic coords="4,73.50,262.13,441.48,427.88" type="bitmap" /></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_3"><head></head><label></label><figDesc>equations that indicate the identity of the elements, we will consider and describe only the following inequalities:</figDesc></figure>
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