一种新的区间直觉模糊交叉熵及其应用  

A New Type of Interval-valued Intuitionistic fuzzy Cross-entropy and Its Application

作　　者：王子迪[1] 毛军军[2,3] 赵愿[2] 

机构地区：[1]安徽大学经济学院,合肥230601 [2]安徽大学数学科学学院,合肥230601 [3]安徽大学计算智能与信号处理教育部重点实验室,合肥230039

出　　处：《重庆工商大学学报（自然科学版）》2016年第6期22-27,共6页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：国家自然科学基金(71371011);安徽省高等学校省级自然科学研究重点项目(KJ2013A033);安徽大学创新科研项目(KYXL2014011)

摘　　要：为了全面反映区间直觉模糊集的不确定性,定义了区间直觉模糊集的3种不确定性因子,即直觉因子、模糊因子和跨度因子;基于这3种不确定性因子,给出了一种新的区间直觉模糊交叉熵,并且证明了交叉熵的相关性质;利用区间直觉模糊集的交叉熵,提出一种确定属性权重的方法,并且根据区间直觉模糊集的加权相关系数,给出了具体的区间直觉模糊多属性决策算法;最后,通过实例分析了方法的可行性和有效性。In order to reflect the uncertainty of interval-valued intuitionistic fuzzy set totally,three kinds of uncertain factors for interval-valued intuitionistic fuzzy set are defined,namely,intuitionistic factor,fuzzy factor and span factor. Based on these three kinds of uncertain factors,a new type of interval-valued intuitionistic cross-fuzzy entropy for interval-valued intuitionistic fuzzy set is given. Based on interval-valued intuitionistic cross-fuzzy entropy,a method to determine attribute weights is proposed. By using the weighted correlation coefficient between Iv IFSs,a new algorithm for multiple attributes decision-making under interval-valued intuitionistic fuzzy environment is given.Finally examples are used to analyze the feasibility and validity of the method.

关 键 词：区间直觉模糊集 区间直觉模糊交叉熵 属性权重 加权相关系数 多属性决策 

分 类 号：C934[经济管理—管理学]