Title: Theory of Fuzzy Sets: Construction of Membership Surfaces of Normal Fuzzy Vectors
Abstract:Fuzzy vectors have been studied almost since the beginning of the theory of fuzzy sets.However, just as a fuzzy number has to be defined with reference to a membership function, every fuzzy vector too...Fuzzy vectors have been studied almost since the beginning of the theory of fuzzy sets.However, just as a fuzzy number has to be defined with reference to a membership function, every fuzzy vector too has to be defined with reference to a membership surface.Nothing however is available in the literature about the membership surface when a fuzzy vector is defined.In this article, using the Randomness-Fuzziness Consistency Principle, it would be shown how to construct the membership surface of a normal fuzzy vector.Read More