模糊软集之间的相似性度量及应用

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。%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 pre-sented. This approach is general in the sense that by using different fuzzy implication operators one can get different uncer-tainty 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.