| 引用本文: | 王子迪1 , 毛军军 2,3, 赵愿2.一种新的区间直觉模糊交叉熵及其应用(J/M/D/N,J:杂志，M：书，D：论文，N：报纸).期刊名称,2016，33（6）：22-27 |
| CHEN X. Adap tive slidingmode contr ol for discrete2ti me multi2inputmulti2 out put systems[ J ]. Aut omatica, 2006, 42(6): 4272-435 |
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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。 |
| 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 |
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| A New Type of Interval valued Intuitionistic fuzzy Cross entropy and Its Application |
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WANG Zi di1 , MAO Jun jun2,3, ZHAO Yuan2
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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. |
| Key words: interval valued intuitionistic fuzzy set interval valued intuitionistic fuzzy cross entropy attribute weights weighted correlation coefficient multiple attributes decision making |
