Fuzzy coefficients and fuzzy preference relations in models of decision making

Analysis of < X, R > models is considered as part of a general approach to solving a wide class of optimization problems with fuzzy coefficients. This approach consists in formulating and solving one and the same problem within the framework of interrelated models to maximally cut off dominated alternatives. The subsequent contraction of the decision uncertainty region is based on reduction of the problem to multiobjective decision making in a fuzzy environment with applying techniques based on fuzzy preference relations. The results of the paper axe of a universal character and axe already being used to solve power engineering problems.