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基于连续值逻辑上的不分明化拓扑线性空间
引用本文:张广济,邹开其,张成.基于连续值逻辑上的不分明化拓扑线性空间[J].数学研究及应用,2006,26(1):77-88.
作者姓名:张广济  邹开其  张成
作者单位:大连大学信息工程学院,大连大学信息科学与工程辽宁省高校重点实验室,辽宁,大连,116622
基金项目:the National Natural Science Foundation of China (60274016),the Project of Scientific Research in Hight Education Bureau Liaoning Province (2023901018).
摘    要: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:连续值逻辑  不分明化拓扑线性空间  平衡集  零元邻域系  凸集
文章编号:1000-341X(2006)01-0077-12
收稿时间:12 18 2003 12:00AM
修稿时间:2003年12月18

Fuzzifying Topological Linear Spaces Based on Continuous-Valued logic
ZHANG Guang-ji,ZOU Kai-qi and ZHANG Cheng.Fuzzifying Topological Linear Spaces Based on Continuous-Valued logic[J].Journal of Mathematical Research with Applications,2006,26(1):77-88.
Authors:ZHANG Guang-ji  ZOU Kai-qi and ZHANG Cheng
Institution:College of Information Engineering; Dalian University; Liaoning; China;College of Information Engineering; Dalian University; Liaoning; China;College of Information Engineering; Dalian University; Liaoning; China
Abstract: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.
Keywords:continuous-valued logic  fuzzifying topological linear spaces  balanced set  zero element neighborhood system  convex set  
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