区间直觉模糊关系及其性质

The Interval-valued intuitionistic fuzzy relations and their properties

首先引入区间直觉模糊关系的定义和性质,对区间直觉模糊逆关系、零关系、全关系、恒等关系进行了定义,研究了它们进行关系运算的基本规则、特殊性质及相关定理,且给出了必要的证明过程.最后定义了区间直觉模糊合成运算,研究了它们合成运算的基本性质.

The definition and property of interval-valued intuitionistic fuzzy relations were first introduced.The intervalvalued intuitionistic fuzzy reverse relations, zero relations, universal relations and equality relations were defined with the emphasis on investigating their fundamental rules of operations, characteristic properties and related theorems with the necessary course of proof. Finally,the notes of interval-valued intuitionistic fuzzy compositional operations were defined and their fundamental properties were studied.