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

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.