Email this article Pareto Set Reduction Based on Information about a Type-2 Fuzzy Preference Relation. Algorithm Justification
- Authors: Baskov O.V.1
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Affiliations:
- Saint Petersburg State University
- Issue: No 4 (2022)
- Pages: 13-23
- Section: Optimal and Rational Choice
- URL: https://ogarev-online.ru/2071-8594/article/view/270484
- DOI: https://doi.org/10.14357/20718594220402
- ID: 270484
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Abstract
A multicriteria choice problem is considered when preferences of a decision maker are described using a type-2 fuzzy binary relation. A mathematical justification of the algorithm for Pareto set reduction based on fuzzy quanta of information about preferences of a decision maker is presented. Optimization issues are discussed for practically important cases.
About the authors
Oleg V. Baskov
Saint Petersburg State University
Author for correspondence.
Email: o.baskov@spbu.ru
Candidate of Physical and Mathematical Sciences, Associate Professor
Russian Federation, Saint PetersburgReferences
- Baskov O. V. 2022. Pareto set reduction based on information about a type-2 fuzzy preference relation. Algorithm description. Iskusstvennyi intellekt i prinyatie reshenii [Artificial intelligence and decision-making]. 3: 63-71.
- Noghin V. D. 2018. Reduction of the Pareto set: an axiomatic approach. Springer, 232 p.
- Baskov O. V., Noghin V. D. 2021. The Edgeworth – Pareto principle in the case of IT2F preference relation. Journal of Physics: Conference Series. 1801:1–5.
- Baskov O. V. 2022. Dual type-2 fuzzy cones and their application in multicriteria choice. Fuzzy Sets and Systems (in press).
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