凸模糊子集的再定义  

Convex Fuzzy Subsets Redefined

作　　者：鞠红梅[1] 袁学海[1] 陈图云[1] 

机构地区：[1]辽宁师范大学数学系,辽宁大连116029

出　　处：《模糊系统与数学》2001年第1期68-70,共3页Fuzzy Systems and Mathematics

摘　　要：给出基于 t-范上的凸模糊子集的定义 ,讨论这种凸模糊子集的同态像性质 ,重点研究 Tm-凸模糊子集的生成性 ,证明每一个 T∧ -凸模糊子集为凸子集生成的Definition of convex subsets based on t norm is introduced. The properties of homomorphic image of this kind of convex subsets are discussed. T m convex fuzzy subsets generated by convex subset and T m convex fuzzy subsets generated by functions are studied. It is proved that each T ∧ convex fuzzy subset is a T m convex fuzzy subset generated by convex subset.

关 键 词：模糊集 凸模糊子集 t-范 生成性 同态像 

分 类 号：O159[理学—数学]