Applied mathematics

Reduction of the Pareto set based on closed information about fuzzy DM's preference relation

A. O. Zakharov

Saint-Petersburg State University

Abstract: The Pareto set reduction axiomatic approach generalized on a fuzzy preference relation case is considered. So-called fuzzy closed information is used in this paper to reduce the compromise set. It is shown how to construct a fuzzy set, which is an upper estimate for the unknown fuzzy set of selected vectors. The results obtained generalize previous states, where preference relation and selected vectors are crisp. Numerical illustration of using fuzzy closed information in decision process is given.

Keywords: multicriteria choice problem, the Pareto set, fuzzy preference relation, the Pareto set reduction axiomatic approach.

UDC: 519.859


Accepted: April 26, 2012