Fuzzifying Topological Linear Spaces Based on Continuous-Valued logic  

基于连续值逻辑上的不分明化拓扑线性空间(英文)

作　　者：张广济[1] 邹开其[1] 张成[1] 

机构地区：[1]大连大学信息工程学院

出　　处：《Journal of Mathematical Research and Exposition》2006年第1期77-88,共12页数学研究与评论（英文版）

基　　金：the National Natural Science Foundation of China (60274016);the Project of Scientific Research in Hight Education Bureau Liaoning Province (2023901018).

摘　　要：In this paper, we introduce the concept of fuzzifying topological linear space and discuss the structures and properties of the balanced neighborhood system of zero element. We also give the algebraic properties and the topological properties of fuzzifying convex set in the fuzzifying topological linear space.在连续逻辑的语义框架下,我们给出了不分明化拓扑线性空间的概念,讨论了零元平衡邻域系的结构和性质,并在不分明化拓扑线性空间中给出不分明化凸集的代数与拓扑性质。

关 键 词：continuous-valued logic fuzzifying topological linear spaces balanced set zero element neighborhood system convex set. 

分 类 号：O177.31[理学—数学]