基于Kleene-Dienes蕴涵算子的Vague集相似度量方法

摘要

By analysing existing Vague sets similarity measures,we point out the inadequacies of these measure means.According to the containing and intersecting relation between Kleene-Dienes implication operator and its negation operator,we present a kind of Vague sets similarity measure method which is based on Kleene-Dienes implication operator,and prove it satisfying the condition of similarity measure. With comparison of existing similarity measures,the new similarity measure is able to overcome the defects of existing similarity measure methods,can effectively distinguish data,and has certain predominance.These provide a new thinking way for studying the similarity meas-ures of Vague sets.%通过分析现有Vague集相似度量方法，指出这些相似度量方法的不足之处。根据Kleene-Dienes蕴涵算子及其否定算子的包含和相交关系，提出一种基于Kleene-Dienes蕴涵算子的Vague集相似度量方法，并证明该方法满足相似度量的条件。通过与现有相似度量方法的比较，说明该相似度量方法能克服现有相似度量方法的缺陷，能够有效区分数据，具有一定的优越性，为研究Vague集相似度量方法提供了一种新的思路。