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In this paper the magnitude of generalized breakdown proposed in the previous papers is discussed. The generalized breakdown ƒ was classified into three kinds, generalized partial breakdown, generalized pseudo-partial breakdown and generalized complete breakdown which is a kind of the partial breakdown, and each magnitude |ƒ| is defined, respectively as 0<|ƒ|≤1,|ƒ|=0 and |ƒ|=1. The generalized partial breakdown, from a viewpoint of the magnitude, is clearly distinguished into generalized proper-partial breakdown and generalized complete breakdown. The properties obtained from the definitions in the previous papers can be also induced from the definitions of the magnitude for instance, the infinite composition of generalized proper-partial breakdown is a generalized complete breakdown.
東海大学の論文