剩余型直觉模糊蕴涵算子的统一形式  

Unified Form of Residual Intuitionistic Fuzzy Implicators

作　　者：郑慕聪[1] 史忠科[1] 

机构地区：[1]西北工业大学自动化学院,陕西西安710072

出　　处：《模糊系统与数学》2013年第2期15-22,共8页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61134004)

摘　　要：对直觉三角模和直觉三角余模的性质进行研究,提出由此生成的直觉伴随对和直觉余伴随对的概念,讨论它们在直觉模糊区域上的性质,给出与直觉三角模相伴随的剩余型直觉蕴涵算子一种统一形式,最后根据直觉模糊蕴涵算子与模糊蕴涵算子的关系给出四类直觉模糊蕴涵算子的具体形式。The concepts of intuitionistic adjoint pairs and co-adjoint pairs are proposed based on the properties of intuitionistic triangular norms and intuitionistic triangular conorms which are investigated in this paper. Then their properties on intuitionistic fuzzy domain are discussed and the unified form of the residual intuitionistic implicators adjoint intuitionistic triangular norms is presented. Finally, the explicit formulas of four intuitionistic implicators are provided according to the relation between intuitionistic fuzzy implicators and fuzzy implicators.

关 键 词：直觉模糊集 三角模 伴随对 剩余型蕴涵 

分 类 号：O141[理学—数学]