L-不分明化一致空间和L-不分明化一致拓扑(英文)  

L-fuzzifying Uniform Spaces and L-fuzzifying Uniform Topology

作　　者：邹祥福[1] 

机构地区：[1]五邑大学数学物理系,广东江门529020

出　　处：《模糊系统与数学》2006年第1期69-74,共6页Fuzzy Systems and Mathematics

基　　金：Natural Science Foundation of Guangdong Province(5013321);National Natural Science Foundation ofChina(60473009);Natural Science Foundation of Guangdong Education Department(Z03070);Natural Science Foundation ofWuyi University

摘　　要：通过应用完全剩余格值逻辑语义的方法把不分明化一致空间和不分明化一致拓扑推广为L-不分明化一致空间和L-不分明化一致拓扑。并且讨论了L-不分明化一致空间和L-不分明化一致拓扑的一些基本性质。This paper extends fuzzifying uniform spaces and fuzzifying uniform topology to L-fuzzifying uniform space and L-fuzzifying uniform topology by adopting the semantic method of complete residuated lattice-valued logic. And it discusses some of fundamental properties of L-fuzzifying uniform spaces and L-fuzzifying uniform topology.

关 键 词：一致空间 非经典逻辑 L-不分明化一致空间 L-不分明化一致拓扑 

分 类 号：O189.13[理学—数学]