基于χ~2分布的直觉模糊散度测度及其在推荐系统中的应用  

Intuitionistic fuzzy divergence measure based on χ~2 distribution and its application in the recommendation system

作　　者：巩增泰 曹玉斌 GONG Zeng-tai;CAO Yu-bin(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)

机构地区：[1]西北师范大学数学与统计学院

出　　处：《西北师范大学学报（自然科学版）》2020年第1期10-20,共11页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(61763044);甘肃省自然科学基金资助项目(18JR3RM238)

摘　　要：直觉模糊集同时考虑了对象的隶属度、非隶属度和犹豫度,而散度则能够表示信息之间的差异程度.定义了一种基于χ^2分布的直觉模糊散度测度并讨论了其性质,结果可直接应用在多属性决策和推荐系统中.最后,通过算例验证了该方法的有效性和可操作性.Since intuitionistic fuzzy sets could provide the information of the membership degree and the non-membership degree,as a generalization of the fuzzy sets it has more expression and flexibility better than the classical fuzzy sets in processing uncertain information data and problems.The divergence measure as a useful tool to measure the differences between information has been widely used in classification problems.An intuitionistic fuzzy divergence measure based on χ^2 distribution is defined and its properties are discussed,these conclusions can be directly applied to multi-attribute decision making and recommendation systems.Finally,an example is given to illustrate its validity and operability.

关 键 词：散度测度 Χ^2分布 直觉模糊集 推荐系统 多属性决策 

分 类 号：O159[理学—数学]