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极大T-S-半传递内部的一种构造方法

A Construction Method of Maximal T-S-Semitransitive Interior
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摘要 提出了极大T-S-半传递内部的新概念,然后在(T,S,n)是DeMorgan三元组、T是左连续t-模且它所对应的R-蕴涵满足(CP(n))的假设下,给出了论域{a1, a2}上任一模糊关系的极大T-S-半传递内部的一种构造方法,并加以证明. In this paper, we introduce a new concept of maximal T-S-semitransitive interior. Then, a construction method of maximal T-S-semitransitive interior is proposed and proved for any fuzzy relations on the universe {a1,a2}, under the conditions that(T, S, n)is a De Morgan triple, T is a left-continuous t-norm and its corresponding implication satisfies(CP(n)).
作者 渠润晓 武彩萍 QU Run-xiao;WU Cai-ping(College of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China)
出处 《数学的实践与认识》 北大核心 2018年第21期200-206,共7页 Mathematics in Practice and Theory
基金 山西省研究生教育改革研究课题(20142028) 2018年太原理工大学校教改项目
关键词 模糊关系 T-S-半传递性 极大T-S-半传递内部 fuzzy relation T-S-Semitransitivity maximal T-S-Semitransitive interior
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