双枝模糊集并-表现定理

双枝模糊集并-表现定理

刘纪芹^1,2

1. 山东大学数学与系统科学学院，山东济南250100； 2. 山东财政学院统计与数理学院，山东济南250014

收稿日期:2005-07-20 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 刘纪芹

Unionrepresentation theorem of bothbranch fuzzy set

LIU Ji-qin^1,2

1.School of Math. and System Sci., Shandong Univ., Jinan 250100, Shandong, China;2. Department of Statistics and Mathematics, Shandong Finance Institute, Jinan 250014, Shandong, China

Received:2005-07-20 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: LIU Ji-qin

摘要/Abstract

摘要： 建立了双枝模糊集并-表现定理，讨论了双枝模糊集的运算性质.结果表明：双枝模糊集表现定理是单枝模糊集表现定理的一般形式，单枝模糊集表现定理是双枝模糊集表现定理的特例.

关键词: 模糊集合, 集合套, 双枝模糊集并-表现定理 , 双枝模糊集

Abstract: The unionrepresentation theorem of bothbranch fuzzy set is given, and some operational properties of bothbranch fuzzy set are discussed. The results indicate that the unionrepresentation theorem of bothbranch fuzzy set is the general form of representation theorem of Zadeh fuzzy set, and the representation theorem of Zadeh fuzzy set is the special form of unionrepresentation theorem of bothbranch fuzzy set.

Key words: union-representation theorem of both-branch fuzzy set , bothbranch fuzzy set, nest of sets, fuzzy set

中图分类号:

O159

刘纪芹, . 双枝模糊集并-表现定理[J]. J4, 2006, 41(2): 7-13 .

LIU Ji-qin, . Unionrepresentation theorem of bothbranch fuzzy set[J]. J4, 2006, 41(2): 7-13 .

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