A new evaluation method based on D-S generalized fuzzy soft sets and its application in medical diagnosis problem

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• 作者：Zhi Xiao^a ; ^{xiaozhicqu@163.com} ; Xianglei Yang^a ; Qing Niu^a ; Yuanxiang Dong^a ; Ke Gong^b ; Sisi Xia^a ; Ying Pang^a
• 关键词：Generalized fuzzy soft sets ; Dempster&ndash ; Shafer theory of evidence ; D&ndash ; S generalized fuzzy soft sets ; Similarity ; Evaluation
• 刊名：Applied Mathematical Modelling
• 出版年：2012
• 期刊代码：6_0307904x
• 类别：cp
• 出版时间：October, 2012
• 卷：36
• 期：10
• 页码：4592-4604
• 文件大小：252 K

摘要

Soft set theory, initiated by Molodtsov, is a general mathematical tool for dealing with uncertain problems. In this paper, we first point out that the similarity measure in a previous paper by Majumdar and Samanta [P. Majumdar, S.K. Samanta, Generalized fuzzy soft sets, Comput. Math. Appl. 59 (2010) 1425-1432] is limited by two counterexamples. To deal with the problems of subjective evaluation and uncertain knowledge, this paper proposes the concept of D-S generalized fuzzy soft sets by combining Dempster-Shafer theory of evidence and generalized fuzzy soft sets. We study some of its operations and basic properties, and the relationship between generalized fuzzy soft sets and D-S generalized fuzzy soft sets are introduced. Then we propose the concept of the similarity between two D-S generalized fuzzy soft sets. At last, we present a new method of evaluation based on D-S generalized fuzzy soft sets and apply it into a medical diagnosis problem.