Publication:
Different Approaches to Fuzzy Extension of an MCDA Method and Their Comparison

dc.contributor.authorYatsalo, B.
dc.contributor.authorKorobov, A.
dc.date.accessioned2024-11-29T10:20:41Z
dc.date.available2024-11-29T10:20:41Z
dc.date.issued2021
dc.description.abstract© 2021, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG.Fuzzy extension of an Multi-Criteria Decision Analysis (MCDA) method implies a choice of an approach to assessing corresponding functions of fuzzy variables and the use of a method for ranking of alternatives based on ranking of fuzzy quantities. In this paper, three key approaches to assessing functions of Fuzzy Numbers (FNs) are considered: approximate computations based on propagating triangular FNs through all computations, Standard Fuzzy Arithmetic (SFA), and Transformation Methods (TMs). In addition, three methods are used for ranking of FNs: Centroid Index, Integral of Means, and Yuan’s ranking method. Combination of an approach to assessing functions of FNs along with a fuzzy ranking method forms a Fuzzy MCDA (FMCDA) model. Distinctions in ranking alternatives by FMCDA models, which are different fuzzy extensions of an MCDA method, are considered for Fuzzy TOPSIS (FTOPSIS) models as an example. It is demonstrated with the use of Monte Carlo simulation that distinctions in ranking alternatives by different FTOPSIS models may be considered as significant. In such circumstances, the problem of choosing a model for application within multi-criteria decision analysis in fuzzy environment is relevant and requires further research.
dc.format.extentС. 709-717
dc.identifier.citationYatsalo, B. Different Approaches to Fuzzy Extension of an MCDA Method and Their Comparison / Yatsalo, B., Korobov, A. // Advances in Intelligent Systems and Computing. - 2021. - 1197 AISC. - P. 709-717. - 10.1007/978-3-030-51156-2_82
dc.identifier.doi10.1007/978-3-030-51156-2_82
dc.identifier.urihttps://www.doi.org/10.1007/978-3-030-51156-2_82
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85088742849&origin=resultslist
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/23431
dc.relation.ispartofAdvances in Intelligent Systems and Computing
dc.titleDifferent Approaches to Fuzzy Extension of an MCDA Method and Their Comparison
dc.typeConference Paper
dspace.entity.typePublication
oaire.citation.volume1197 AISC
relation.isOrgUnitOfPublication010157d0-1f75-46b2-ab5b-712e3424b4f5
relation.isOrgUnitOfPublication4b108cd7-08a1-4350-ab3f-20450dec091d
relation.isOrgUnitOfPublication.latestForDiscovery010157d0-1f75-46b2-ab5b-712e3424b4f5
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