Email this article Algorithm for Reduction of the Pareto Set Using a Collection of Fuzzy Information Quanta
- Authors: Nogin V.D.1
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Affiliations:
- Saint Petersburg State University
- Issue: No 4 (2022)
- Pages: 3-12
- Section: Optimal and Rational Choice
- URL: https://journals.rcsi.science/2071-8594/article/view/270483
- DOI: https://doi.org/10.14357/20718594220401
- ID: 270483
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Abstract
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.
About the authors
Vladimir D. Nogin
Saint Petersburg State University
Author for correspondence.
Email: noghin@gmail.com
Doctor of Physical and Mathematical Sciences, Professor, Full Member of the International Higher Education Academy of Sciences
Russian Federation, Saint PetersburgReferences
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