Analysis of Data Presented by Multisets Using a Linguistic Approach

The problem of the analysis of datasets formed by the results of group expert assessment of objects by a certain set of features is considered. Such datasets may contain mismatched, including conflicting values of object evaluations by the analyzed features. In addition, the values of the assessment...

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Main Authors: Liliya A. Demidova, Julia S. Sokolova
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Algorithms
Subjects:
Online Access:https://www.mdpi.com/1999-4893/14/5/135
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author Liliya A. Demidova
Julia S. Sokolova
author_facet Liliya A. Demidova
Julia S. Sokolova
author_sort Liliya A. Demidova
collection DOAJ
description The problem of the analysis of datasets formed by the results of group expert assessment of objects by a certain set of features is considered. Such datasets may contain mismatched, including conflicting values of object evaluations by the analyzed features. In addition, the values of the assessments for the features can be not only point, but also interval due to the incompleteness and inaccuracy of the experts’ knowledge. Taking into account all the results of group expert assessment of objects for a certain set of features, estimated pointwise, can be carried out using the multiset toolkit. To process interval values of assessments, it is proposed to use a linguistic approach which involves the use of a linguistic scale in order to describe various strategies for evaluating objects: conservative, neutral and risky, and implement various decision-making strategies in the problems of clustering, classification, and ordering of objects. The linguistic approach to working with objects assessed by a group of experts with setting interval values of assessments has been successfully applied to the analysis of the dataset presented by competitive projects. A herewith, for the dataset under consideration, using various assessment strategies, solutions of clustering, classification, and ordering problems were obtained with the study of the influence of the chosen assessment strategy on the results of solving the corresponding problem.
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spelling doaj.art-fcbc4f8c71cd4652b08102baf2d5966d2023-11-21T17:06:54ZengMDPI AGAlgorithms1999-48932021-04-0114513510.3390/a14050135Analysis of Data Presented by Multisets Using a Linguistic ApproachLiliya A. Demidova0Julia S. Sokolova1Institute for Information Technologies, Federal State Budget Educational Institution of Higher Education “MIREA–Russian Technological University”, 78, Vernadsky Avenue, 119454 Moscow, RussiaDepartment for Calculating Technics, Federal State Budget Educational Institution of Higher Education “Ryazan State Radio Engineering University”, Gagarin Str. 59/1, 390005 Ryazan, RussiaThe problem of the analysis of datasets formed by the results of group expert assessment of objects by a certain set of features is considered. Such datasets may contain mismatched, including conflicting values of object evaluations by the analyzed features. In addition, the values of the assessments for the features can be not only point, but also interval due to the incompleteness and inaccuracy of the experts’ knowledge. Taking into account all the results of group expert assessment of objects for a certain set of features, estimated pointwise, can be carried out using the multiset toolkit. To process interval values of assessments, it is proposed to use a linguistic approach which involves the use of a linguistic scale in order to describe various strategies for evaluating objects: conservative, neutral and risky, and implement various decision-making strategies in the problems of clustering, classification, and ordering of objects. The linguistic approach to working with objects assessed by a group of experts with setting interval values of assessments has been successfully applied to the analysis of the dataset presented by competitive projects. A herewith, for the dataset under consideration, using various assessment strategies, solutions of clustering, classification, and ordering problems were obtained with the study of the influence of the chosen assessment strategy on the results of solving the corresponding problem.https://www.mdpi.com/1999-4893/14/5/135multisetlinguistic approachinterval assessmentsgroup expert assessmentclusteringclassification
spellingShingle Liliya A. Demidova
Julia S. Sokolova
Analysis of Data Presented by Multisets Using a Linguistic Approach
Algorithms
multiset
linguistic approach
interval assessments
group expert assessment
clustering
classification
title Analysis of Data Presented by Multisets Using a Linguistic Approach
title_full Analysis of Data Presented by Multisets Using a Linguistic Approach
title_fullStr Analysis of Data Presented by Multisets Using a Linguistic Approach
title_full_unstemmed Analysis of Data Presented by Multisets Using a Linguistic Approach
title_short Analysis of Data Presented by Multisets Using a Linguistic Approach
title_sort analysis of data presented by multisets using a linguistic approach
topic multiset
linguistic approach
interval assessments
group expert assessment
clustering
classification
url https://www.mdpi.com/1999-4893/14/5/135
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AT juliassokolova analysisofdatapresentedbymultisetsusingalinguisticapproach