Combination of interval-valued fuzzy set and soft set

被引：433
|
作者：
Yang, Xibei [1 ,2 ]
Lin, Tsau Young [2 ]
Yang, Jingyu [1 ]
Li, Yan [1 ]
Yu, Dongjun [1 ,3 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Comp Sci & Technol, Nanjing 210094, Jiangsu, Peoples R China
[2] San Jose State Univ, Dept Comp Sci, San Jose, CA 95192 USA
[3] Univ York, Dept Comp Sci, York YO10 5DD, N Yorkshire, England
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 03期
关键词：
Fuzzy soft set; Interval-valued fuzzy set; Interval-valued fuzzy soft set; Operation; Choice value; THEORETIC APPROACH; REDUCTION;
D O I：
10.1016/j.camwa.2009.04.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The soft set theory, proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainty. By combining the interval-valued fuzzy set and soft set models, the purpose of this paper is to introduce the concept of the interval-valued fuzzy soft set. The complement, "AND" and "OR" operations are defined on the interval-valued fuzzy soft sets. The DeMorgan's, associative and distribution laws of the interval-valued fuzzy soft sets are then proved. Finally, a decision problem is analyzed by the interval-valued fuzzy soft set. Some numerical examples are employed to substantiate the conceptual arguments. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：521 / 527
页数：7
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