直觉模糊软集新的相似度及其应用  

New Similarity Measures of Intuitionistic Fuzzy Soft Sets and Their Applications

作　　者：王金英[1] 

机构地区：[1]辽宁工业大学理学院,辽宁锦州121001

出　　处：《辽宁工业大学学报（自然科学版）》2017年第3期196-201,206,共7页Journal of Liaoning University of Technology(Natural Science Edition)

基　　金：国家自然科学基金项目(61473139)

摘　　要：将模糊软集的包含度拓展到直觉模糊软集中,针对参数集合不同的情况,给出直觉模糊软集一种新的相似度。首先,借助于直觉模糊集包含度,给出了直觉模糊软集包含度的公理化定义和三种不同的计算公式;然后,在直觉模糊软集包含度的基础上,提出了直觉模糊软集相似度的公理化定义及相应的计算公式;最后将这种新的相似性度量方法应用到实例分析中,说明了该方法的有效性和可行性。The inclusion degrees of fuzzy soft sets are extended to intuitionistic fuzzy soft sets according to different cases of parameter set. And a new similarity measure of the intuitionistic fuzzy soft sets is proposed. First of all, the axiomatic definition of intuitionistic fuzzy soft sets and three different computational formulas are given with the inclusion degrees of intuitionistic fuzzy soft sets. Then the axiomatic definition of the similarity measure of intuitionistic fuzzy soft sets and the corresponding computational formulas are provided on the basis of the inclusion degrees of intuitionistic fuzzy soft sets. Finally the new similarity measure approach is applied to example analysis, and the effectiveness and feasibility is illustrated.

关 键 词：模糊蕴涵算子 集合基数 直觉模糊软集 包含度 相似度 

分 类 号：O159[理学—数学] TP301[理学—基础数学]