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.