Q-截集,Q-截云和模糊集的运算(英文)  

Q-Cut Set,Q-Cut Cloud and Operators of Fuzzy Sets

作　　者：沈正维[1] 

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029

出　　处：《模糊系统与数学》2006年第1期34-41,共8页Fuzzy Systems and Mathematics

基　　金：National Natural Science Fundation of China(50176007)

摘　　要：通过引进Q-截集的概念,我们得到了新的分解定理和表现定理。利用Q-截集和随机集落影理论,导出了模糊集的运算、多值蕴涵算子和双蕴涵算子,特别是导出了模糊条件语句的逻辑算子。By introducing concept of Q-cut set, new decomposition theorems and new representation theorems are obtained. By the use of theories of falling shadows and concept of Q-cut cloud ,some operators of fuzzy sets such as operations of fuzzy sets, fuzzy implications, fuzzy bi-implications and fuzzy condition sentences are described logically.

关 键 词：模糊集 Q-截集 Q-截云 落影 

分 类 号：O159[理学—数学] TP312[理学—基础数学]