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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 language | English |
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Pages (from-to) | 1604-1612 |
Number of pages | 9 |
Journal | Computational Mathematics and Mathematical Physics |
Volume | 43 |
Issue number | 11 |
State | Published - 1 Nov 2003 |
ID: 36884504