The multi-fuzzy soft set and its application in decision making

被引：127
作者：
Yang, Yong [1 ]
Tan, Xia [1 ]
Meng, Congcong [1 ]
机构：
[1] Northwest Normal Univ, Coll Comp Sci & Engn, Lanzhou 730070, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 07期
基金：
美国国家科学基金会;
关键词：
Soft sets; Multi-fuzzy sets; Multi-fuzzy soft sets; Decision making; THEORETIC APPROACH;
D O I：
10.1016/j.apm.2012.10.015
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Molodtsov's soft set theory was originally proposed as a general mathematical tool for dealing with uncertainty. By combining the multi-fuzzy set and soft set models, the purpose of this paper is to introduce the concept of multi-fuzzy soft sets. Some operations on a multi-fuzzy soft set are defined, such as complement operation, "AND" and "OR" operations, Union and Intersection operations. Then, the DeMorgan's laws are proved. Finally, by means of level soft set, an algorithm is presented, and a decision problem is analyzed using multi-fuzzy soft set. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：4915 / 4923
页数：9
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