完备格上基于t算子的直觉模糊粗糙集模型  

Intuitionistic fuzzy rough set models on the complete lattice based on the t-norm

作　　者：巩增泰[1] 贾永[1] 

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《云南大学学报（自然科学版）》2016年第4期515-523,共9页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金(61262022;11461062)

摘　　要：基于对偶三角模,将直觉模糊粗糙集模型在完备格上进行统一处理:首先在完备格上引入非算子的概念,定义和讨论了完备格上基于t算子的直觉模糊集及其运算法则;讨论了完备格上基于t算子的对偶三角模剩余蕴涵及其相互转化关系;在讨论完备格上基于t算子的直觉模糊集的对偶三角模TS隶属度和非隶属度表示的基础上,给出了完备格上基于t算子的直觉模糊集对应的剩余蕴涵之隶属度和非隶属度计算公式;最后,在定义完备格上基于t算子相似关系的基础上,定义和刻画了完备格上基于t算子的直觉模糊粗糙集模型.Based on dual triangle norms, the intuitionistic fuzzy rough set models were investigated. Firstly, the concept of negation operator on a complete lattice was introduced, and the intuitionistic fuzzy set based on the t-norm on the complete lattice and its arithmetic operations were defined and discussed.Secondly, The TS mem- bership degree and TS non-membership degree of intuitionistic fuzzy sets of dual triangular norms based on t- norm on the complete lattice were defined and characterized.Finally, on the basis of similarity relation based on the t-norm on the complete lattice, intuitionistic fuzzy rough set models on the complete lattice based on the t- norm were defined and studied.

关 键 词：直觉模糊集 完备格 直觉模糊粗糙集 

分 类 号：O159[理学—数学]