区间值模糊集之间一种新距离的完备性

The Completeness of a New Distance between Interval-valued Fuzzy Set

定义区间值模糊集之间的一种新距离d*∞,讨论了这种距离的基本性质,并证明区间值模糊数的距离空间(IΦ*(R),d*∞)是完备的,但它却是不可分的。

This paper gives a kind of distance between interval-valued guzzy sets defined on real line R, denoted by d∞＊. It shows that the whole space （f F＊（R）,d∞＊） is a complete metric space but not a separable metric space.