Algorithm for Reduction of the Pareto Set Using a Collection of Fuzzy Information Quanta

Мұқаба

Дәйексөз келтіру

Толық мәтін

Аннотация

The paper presents the multi-criteria choice problem with a numerical vector function on a subset of the vectors. It is assumed that the decision maker uses a fuzzy preference relation in the selection process. Information about the preference relation is considered to be known in the form of a finite collection of fuzzy quanta. We formulate an algorithm to reduce the Pareto set in the multicriteria choice problem using the set of quanta, and facilitate the final choice. A numerical example illustrates the algorithm work.

Авторлар туралы

Vladimir Nogin

Saint Petersburg State University

Хат алмасуға жауапты Автор.
Email: noghin@gmail.com

Doctor of Physical and Mathematical Sciences, Professor, Full Member of the International Higher Education Academy of Sciences

Ресей, Saint Petersburg

Әдебиет тізімі

  1. Noghin V.D. Reduction of the Pareto Set. An Axiomatic Approach. Springer Ser.: Studies in Systems, Decisions and Control. 2018. Vol. 126.
  2. Noghin V.D., Baskov O.V. Pareto Set Reduction Based on an Arbitrary Finite Collection of Numerical Information on the Preference Relation // Doklady Mathematics. 2011. Vol. 83. No.3. P. 418-420.
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  6. Noghin V.D. Mnozhestvo i Princip Pareto [Pareto Set and Principle]. Sankt-Peterburg. Izdatel'sko-poligraficheskaya associaciya vuzov. 2022.
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  8. Skhrejver F. Teoriya Linejnogo i Celochislennogo Programmirovaniya [Theory of Linear and Integer Programming]. M.: Mir. 1991.
  9. Noghin V.D. Multicriteria Choice Based on Fuzzy Information // Scientific and Technical Information Processing. 2020. Vol. 47. No.5, P. 275-283.

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