Decomposition theorems of Vague sets based on binary cut sets

doi:10.3778/j.issn.1002-8331.2010.36.014

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (36): 51-52.DOI: 10.3778/j.issn.1002-8331.2010.36.014

• 研究、探讨 • Previous Articles Next Articles

Decomposition theorems of Vague sets based on binary cut sets

YANG Li-jun¹，WANG Lin²，YU Jian-kun¹

1.College of Information，Yunnan University of Finance and Economics，Kunming 650221，China
2.College of Statistics and Mathematics，Yunnan University of Finance and Economics，Kunming 650221，China

Received:2010-06-04 Revised:2010-09-06 Online:2010-12-21 Published:2010-12-21
Contact: YANG Li-jun

二元截集下的Vague集的分解定理

杨力军¹，王林²，余建坤¹

1.云南财经大学信息学院，昆明 650221
2.云南财经大学统计与数学学院，昆明 650221

通讯作者: 杨力军

Abstract

Abstract: To reveal the relationships between Vague sets and classical sets，two new decomposition theorems of Vague sets based on the binary cut sets are proposed.The decomposision theorems show that every Vague set can be expressed by the family of cut sets decomposed by itself，and the elements in the family of cut sets are classical sets.Finally，some examples are given to illustrate their effectiveness.

Key words: Vague sets, binary cut sets, decomposition theorem

摘要： 为了揭示Vague集和经典集之间的联系，在Vague集二元截集的基础上，提出了两个新的Vague集的分解定理。Vague集的分解定理表明Vague集可以由它分解出的截集簇来表示，而这些截集簇都是普通集。最后实例说明了其有效性。

关键词: Vague集, 二元截集, 分解定理

CLC Number:

TP18

YANG Li-jun¹，WANG Lin²，YU Jian-kun¹. Decomposition theorems of Vague sets based on binary cut sets[J]. Computer Engineering and Applications, 2010, 46(36): 51-52.

杨力军¹，王林²，余建坤¹. 二元截集下的Vague集的分解定理[J]. 计算机工程与应用, 2010, 46(36): 51-52.

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Decomposition theorems of Vague sets based on binary cut sets

二元截集下的Vague集的分解定理

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