(L,M)-模糊强拓扑凸空间及其刻画  

(L,M)-fuzzy Strongly Topological-convex Space and Its Characterizations

作　　者：廖春艳 吴修云 赵艳辉 LIAO Chun-Yan;WU Xiu-yun;ZHAO Yan-hui(School of Science,Hunan University of Science and Engineering,Yongzhong 425100,China;School of Mathematics and Statistics,Anhui Normal University,Wuhu 241003,China)

机构地区：[1]湖南科技学院理学院,湖南永州425100 [2]安徽师范大学数学与统计学院,安徽芜湖241003

出　　处：《模糊系统与数学》2022年第5期8-17,共10页Fuzzy Systems and Mathematics

基　　金：湖南省教育厅科学研究项目(19C0822,18A474);安徽省高校科学研究项目(KJ2020A0056);安徽师范大学博士启动基金资助项目(751966);湖南省自然科学基金资助项目(22018JJ3192,2019JJ40089)。

摘　　要：本文引入(L,M)-模糊拓扑凸空间,给出它的若干范畴刻画,证明了(L,M)-模糊拓扑凸空间范畴与(L,M)-模糊拓扑凸封闭关系空间范畴同构。In this paper,the notion of(L,M)-fuzzy strongly topological-convex spaces is introduced and some of its characterizations are discussed.In addition,it is proved that the category of(L,M)-fuzzy strongly topological-convex spaces is isomorphic to the category of(L,M)-fuzzy strongly topological-convex enclosed relation spaces.

关 键 词：(L M)-模糊凸空间 (L M)-模糊强拓扑凸空间 (L M)-模糊强拓扑凸封闭关系空间 

分 类 号：O189[理学—数学]