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二元截集下Vague集的表现定理及扩展原理

刘翠翠 辛小龙

计算机工程与应用2012,Vol.48Issue(16):41-43,102,4.
计算机工程与应用2012,Vol.48Issue(16):41-43,102,4.DOI:10.3778/j.issn.1002-8331.2012.16.010

二元截集下Vague集的表现定理及扩展原理

Representation theorems and extension principles of Vague sets based on binary cut sets

刘翠翠 1辛小龙1

作者信息

  • 1. 西北大学数学系,西安710127
  • 折叠

摘要

Abstract

Based on the theories of fuzzy sets and Vague sets, the concept of nested set is introduced based on binary cut sets and the decomposition theorems of Vague sets. The new representation theorems and extension principles of Vague sets are given and the relevant algebraic properties are discussed, which show the connection between classical sets and Vague sets.

关键词

Vague集/二元截集/分解定理/表现定理/扩展原理

Key words

Vague sets/ binary cut sets/ decomposition theorems/ representation theorems/ extension principles

分类

数理科学

引用本文复制引用

刘翠翠,辛小龙..二元截集下Vague集的表现定理及扩展原理[J].计算机工程与应用,2012,48(16):41-43,102,4.

基金项目

陕西省教育厅专项科研基金(No.08JK472). (No.08JK472)

计算机工程与应用

OACSCDCSTPCD

1002-8331

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