剩余型直觉模糊差算子的统一形式  

Unified forms of residual intuitionistic fuzzy difference operators

作　　者：郑慕聪[1] 史忠科[1] 刘艳[2] 

机构地区：[1]西北工业大学自动化学院,陕西西安710072 [2]西安科技大学理学院,陕西西安710054

出　　处：《陕西师范大学学报（自然科学版）》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)

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.

关 键 词：三角模 直觉三角余模 直觉模糊差算子 伴随对 

分 类 号：O141.1[理学—数学]