摘要
研究了直觉三角模和直觉三角余模的性质,提出了直觉模糊差算子和直觉余伴随对的概念,证明了它们可以由左连续的三角模生成,讨论了它们在直觉模糊区域上的结合性和分配性.给出了由左连续三角模生成的直觉三角余模所伴随的剩余型直觉模糊差算子的统一形式,根据直觉模糊算子与模糊算子的关系,给出了4类直觉模糊差算子的具体形式.
Properties of intuitionistic triangular norms and intuitionistic triangular co-norms are investigated. Concepts of intuitionistic fuzzy difference operator and co-adjoint pairs are introduced, which are proved to be induced by the left continuous triangular norms, and their algebraic properties for associativity and distributivity on intuitionistic fuzzy domain are discussed. Then the unified forms of the residual intuitionistic fuzzy difference operators adjoint to intuitionistic triangular co-norms induced by the left-continuous triangular norms are presented. The explicit formulas of four intuitionistic fuzzy difference operators are provided according to the relation between intuitionistic fuzzy operator and fuzzy operator.
出处
《陕西师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第4期11-15,共5页
Journal of Shaanxi Normal University：Natural Science Edition
基金
国家自然科学基金资助项目(61134004)
关键词
三角模
直觉三角余模
直觉模糊差算子
伴随对
triangular norm
intuitionistic triangular co-norm
intuitionistic fuzzy differenceoperator
adjoint pair
