An adjustable approach to fuzzy soft set based decision making

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:234

Article

Feng, Feng^1,2  Jun, Young Bae^3,4  Liu, Xiaoyan¹  Li, Lifeng¹ 

[1] Xian Inst Posts & Telecommun, Dept Appl Math & Appl Phys, Xian 710061, Peoples R China

[2] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China

[3] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[4] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

关键词: Soft set;    Fuzzy soft set;    Level soft set;    Threshold;    Comparison table;    Choice value;    Score;    Decision making;   

DOI  :  10.1016/j.cam.2009.11.055

来源: Elsevier

【 摘 要 】

Molodtsov's soft set theory was originally proposed as a general mathematical tool for dealing with uncertainty. Recently, decision making based on (fuzzy) soft sets has found paramount importance. This paper aims to give deeper insights into decision making based on fuzzy soft sets. We discuss the validity of the Roy-Maji method and show its true limitations. We point out that the choice value designed for the crisp case is no longer fit to solve decision making problems involving fuzzy soft sets. By means of level soft sets, we present an adjustable approach to fuzzy soft set based decision making and give some illustrative examples. Moreover, the weighted fuzzy soft set is introduced and its application to decision making is also investigated. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free