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模糊软集之间的相似性度量及应用
引用本文:洪智勇.模糊软集之间的相似性度量及应用[J].计算机工程与应用,2015,51(12):16-20.
作者姓名:洪智勇
作者单位:五邑大学 计算机学院,广东 江门 529020
基金项目:国家自然科学基金(No.61175055);五邑大学青年基金(No.2013zk17)。
摘    要:研究模糊软集的不确定度量问题,给出模糊软集的包含度、相似度公理化定义;基于模糊蕴含算子提出新的模糊软集包含度与相似度度量方法,该方法具有一定的普遍性,在某种程度上提供不同的模糊蕴含算子就可得到不同的包含度与相似度。基于新的相似度度量方法构造了一种决策方法并应用于金融企业流动性检测中。

关 键 词:软集  模糊软集  相似性度量  包含度  

Similarity measures between fuzzy soft sets and their applications
HONG Zhiyong.Similarity measures between fuzzy soft sets and their applications[J].Computer Engineering and Applications,2015,51(12):16-20.
Authors:HONG Zhiyong
Affiliation:School of Computer Science, Wuyi University, Jiangmen, Guangdong 529020, China
Abstract:Uncertainty measures of fuzzy soft sets are studied. The axioms for inclusion measure and similarity measure are proposed. Based on fuzzy implication operators, a new category of inclusion measures and similarity measures are presented. This approach is general in the sense that by using different fuzzy implication operators one can get different uncertainty measures. The basic properties of these uncertainty measures are examined. It constructs a decision method which is applied to a financial diagnosis problem that is based on similarity measures.
Keywords:soft set  fuzzy soft set  similarity measure  inclusion measure
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