剩余型区间值直觉模糊差算子的统一形式

Unified Form of Residual Interval-valued Intuitionistic Fuzzy Difference Operator

研究区间值直觉三角模和区间值直觉三角余模的性质,提出区间值直觉模糊差算子和区间值直觉余伴随对的概念,证明它们可以由左连续的三角模生成,讨论它们在区间值直觉模糊区域上的结合性和分配性,给出由左连续三角模生成的区间值直觉三角余模所伴随的剩余型区间值直觉模糊差算子的统一形式.根据区间值直觉模糊算子与模糊算子的关系,给出4类区间值直觉模糊差算子的具体形式.

In this paper,properties of interval-valued intuitionistic t-norms and t-conorms are investigated in this paper.Notions of interval-valued intuitionistic fuzzy difference operator and co-adjoint pairs are introduced,which are proved to be induced by the left-continuous t-norm,and their algebraic properties for associativity and distributivity on interval-valued intuitionistic fuzzy domain are discussed.Then the unified form of residual interval-valued intuitionistic fuzzy difference operators adjoint to interval-valued intuitionistic t-conorm derived from the left-continuous t-norm are presented.Moreover,the explicit formulas of four interval-valued intuitionistic fuzzy difference operators are provided according to the relation between interval-valued intuitionistic fuzzy operator and fuzzy operator.