On Reasoning Conditions of Koczy's Interpolative Reasoning

概要

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In this paper, we shall briefly introduce Koczy's interpolative reasoning method, and improve the reasoning conditions of interpolative reasoning method given by authors. It will be illustrated that these reasoning conditions are imperfect, and the inference consequence by these conditions is not always a normal triangular-type even if the disjoint fuzzy rules A_1=>B_1, A_2=>B_2 and an observation A^* (A_1<A^*<A_2) to be defined by triangular-type membership functions, when one consider both left and right sides. Moreover, we shall give the perfect reasoning conditions which guarantee the normality and convexity of the inference consequence by combining inf{B^*_α} and sup{B^*_α}, in general.
バイオメディカル・ファジィ・システム学会の論文