This article is cited in 1 paper

Optimal and rational choice

Algorithm for reduction of the Pareto set using a collection of fuzzy information quanta

V. D. Nogin

Saint Petersburg State University, Saint-Petersburg, Russia

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.

Keywords: fuzzy sets, multicriteria choice, the Pareto set reduction, quanta of fuzzy information.

DOI: 10.14357/20718594220401

 English version: , 2023, 50:6, 610–617

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