The Edgeworth-Pareto principle substantiated previously by the author is extended to the case of a fuzzy preference relation used by a decision-maker. It is shown that, under three certain axioms, the fuzzy set of selected decisions is always a subset of the Pareto set. Developed by the author in the case of a nonfuzzy preference relation, the approach taking into account quantitative information on the relative importance of criteria is extended to a fuzzy preference relation and a fuzzy set of feasible decisions. An illustrative example is given. Copyright copy; 2003 MAIK "Nauka/Interperiodica".

Original languageEnglish
Pages (from-to)1604-1612
Number of pages9
JournalComputational Mathematics and Mathematical Physics
Volume43
Issue number11
StatePublished - 1 Nov 2003

    Scopus subject areas

  • Computational Mathematics

ID: 36884504