| 一种新的区间直觉模糊交叉熵及其应用 |
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| 引用本文： | 王子迪,毛军军,赵愿.一种新的区间直觉模糊交叉熵及其应用[J].重庆工商大学学报(自然科学版),2016,33(6):22-27. |
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| 作者姓名： | 王子迪 毛军军 赵愿 |
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| 作者单位： | 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 |
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| 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。
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| 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 |
A New Type of Interval valued Intuitionistic fuzzy Cross entropy and Its Application |
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| Abstract: | 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 IvIFSs, 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. |
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| Keywords: | interval valued intuitionistic fuzzy set interval valued intuitionistic fuzzy cross entropy attribute weights weighted correlation coefficient multiple attributes decision making |
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