Pareto Set Reduction Based on Information about a Type-2 Fuzzy Preference Relation. Algorithm Justification

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Дәйексөз келтіру

Толық мәтін

Аннотация

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.

Авторлар туралы

Oleg Baskov

Saint Petersburg State University

Хат алмасуға жауапты Автор.
Email: o.baskov@spbu.ru

Candidate of Physical and Mathematical Sciences, Associate Professor

Ресей, Saint Petersburg

Әдебиет тізімі

  1. 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.
  2. Noghin V. D. 2018. Reduction of the Pareto set: an axiomatic approach. Springer, 232 p.
  3. 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.
  4. 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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