Vague soft sets and their properties

被引:210
作者
Xu, Wei [1 ,2 ,3 ]
Ma, Jian [1 ]
Wang, Shouyang [3 ,4 ]
Hao, Gang [5 ]
机构
[1] City Univ Hong Kong, Dept Informat Syst, Hong Kong, Hong Kong, Peoples R China
[2] Renmin Univ China, Sch Informat, Beijing 100872, Peoples R China
[3] Chinese Acad Sci, Grad Univ, Sch Management, Beijing 100080, Peoples R China
[4] Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
[5] City Univ Hong Kong, Dept Management Sci, Hong Kong, Hong Kong, Peoples R China
基金
中国国家自然科学基金;
关键词
Soft set; Fuzzy set; Vague set; Vague soft set; Rough set; INTUITIONISTIC FUZZY-SETS; DECISION-MAKING PROBLEMS; REDUCTION; OPERATORS;
D O I
10.1016/j.camwa.2009.10.015
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainty. However, it is difficult to be used to represent the vagueness of problem parameters. In this paper, we introduce the notion of vague soft set which is an extension to the soft set. The basic properties of vague soft sets are presented and discussed. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:787 / 794
页数:8
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