あいまい論理による破壊の一考察

概要

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In this paper, we discuss static general breakdown properties with fuzzy logics to obtain a fundamental idea of discharge phenomena. First, breakdown properties are discussed with a membership function and a complete metric space. Second, the properties obtained are discussed again with a fuzzy complete pseudo-metric space consisting only of membership functions. The fuzzy breakdown has three kinds of breakdowns : a fuzzy partial breakdown, a fuzzy pseudo partial breakdown and a fuzzy complete breakdown. It makes clear that the fuzzy composite breakdown of the fuzzy partial breakdowns is also a fuzzy partial breakdown and that the countably infinite composite mapping of fuzzy partial breakdowns is a fuzzy complete breakdown in which the final state is not unique.
東海大学の論文