论文信息 - Some properties of extended fuzzy preference relations using modalities

Some properties of extended fuzzy preference relations using modalities

Abstract A fuzzy preference relation is extended to six kinds of relations between fuzzy sets. The properties of the six extended relations are investigated. Especially, a sufficient condition for reducing the extended relations to four kinds is discussed when fuzzy sets are bounded and normal, and some examples are given to illustrate it. Further, a sufficient condition for the extended negative relations to coincide with the extended inverse relations is described.

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