摘要
区间值模糊集的隶属度使其拥有更多的自由度。从而在处理信息不确定性和模糊性时比经典模糊集更有优势。为了更好地利用区间模糊集，研究其截集及性质具有重要的意义。本文首先定义了一种基于t-模的区间值模糊集的截集，进一步讨论了基于t-模的区间值模糊集的广义交、并、补的截集的相关性质。特别地，若T(S)为∧(∨)-可表示的，则区间模糊集的交、并、补运算与截集运算可交换。
Abstract
The membership of interval-valued fuzzy sets leads to more degree of freedom, which brings superiority in proceeding uncertainty and fuzzification of informations more than classic fuzzy sets.For beter application of interval-valued fuzzy sets, it’s of importance to study it’s cuts and properties.In this paper, we define a kind of t-norm based cuts of interval-valued fuzzy sets, and then discuss the properties of cuts of generalized intersection, union and complement based on t-norm interval-valued fuzzy sets.Specialy, iT(S)i∧(∨)representable, then the intersection, union and complement are commutative with cut set.
NETL
NSTL
维普
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