T-算子,泛算术与Zadeh算子(英文)  

T-Operators,Pseudo-Arithmetics and Zadeh′s Operators

作　　者：同小军[1] 李洪兴[2] 聂宜珍[3] 

机构地区：[1]华中科技大学自动控制系,湖北武汉430074 [2]北京师范大学数学系,北京100875 [3]三峡大学理学院,湖北宜昌443002

出　　处：《模糊系统与数学》2001年第3期1-4,共4页Fuzzy Systems and Mathematics

基　　金：The National Science Foundation of China(79970 0 2 5 )

摘　　要：Zadeh算子已推广到 T-算子 ,T-算子也已推广到泛算术。本文讨论 T-算子与 Zadeh算子、泛算术与 Zadeh算子的关系。在一定条件下 ,得到了它们之间相互转化的充要条件。Zadeh′s operators have been generized, T operators have been extended,pseudo arithmetics,semiring, etc. The relationships between T operators and Zadeh′s operators, and between pseudo operations and Zadeh′s operators are discussed. Some sufficiency and necessity conditions on them have been obtained.

关 键 词：T-算子 泛算术 分配律 Zadeh算子 充要条件 三角型算子 模糊系统 

分 类 号：O159[理学—数学]