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At-least At-most Modifications in a Space with Fuzzy Preoreder
Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology
Keywords: monotonous fuzzy rule base, system of fuzzy relation equations, "at least" ("at most") quantifiers, fuzzy preorder, criterion of solvability Abstract In this paper, we utilize the theory of solvability of systems of fuzzy relation equations in a space with fuzzy preorder and propose a justification of solvability of systems that are modified with "at least" ("at most") quantifiers. We show that the respectively modified fuzzy sets are upper (lower) sets of a fuzzy preorder on thedoi:10.2991/eusflat.2013.97 dblp:conf/eusflat/Perfilieva13 fatcat:3caiwpqtqffxjh3oeffxspggta