| 一种新的区间直觉模糊熵及其应用 |
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| 引用本文： | 赵 愿,毛军军.一种新的区间直觉模糊熵及其应用[J].计算机工程与应用,2016,52(12):85-89. |
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| 作者姓名： | 赵 愿 毛军军 |
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| 作者单位： | 1.安徽大学 数学科学学院，合肥 230039
2.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： | 提出了区间值直觉模糊集的区间直觉模糊交叉熵，这种交叉熵充分考虑了区间值直觉模糊集的隶属度，非隶属度以及犹豫度。给出一种区间值直觉模糊集的区间直觉模糊熵的公理化体系，并且基于直觉模糊交叉熵公式给出一种区间直觉模糊熵的具体测度公式。利用区间值直觉模糊集的加权相关系数，将提出的熵公式应用于解决属性权重完全未知的区间直觉模糊多属性决策问题。
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| 关 键 词： | 区间值直觉模糊集 区间直觉模糊交叉熵 区间直觉模糊熵 加权的相关系数 多属性决策 |
New type of interval-valued intuitionistic fuzzy entropy and its application |
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| ZHAO Yuan,MAO Junjun.New type of interval-valued intuitionistic fuzzy entropy and its application[J].Computer Engineering and Applications,2016,52(12):85-89. |
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| Authors: | ZHAO Yuan MAO Junjun |
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| Affiliation: | 1.School of Mathematical Sciences, Anhui University, Hefei 230039, China
2.Key Lab of Intelligent Computing & Signal Processing of Ministry of Education, Anhui University, Hefei 230039, China |
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| Abstract: | The interval-valued intuitionistic fuzzy cross-entropy is proposed, which considers membership, non-membership and hesitancy degree of Interval-Valued Intuitionistic Fuzzy Set（IVIFS）. Then the axiomatic principles of the entropy of IVIFS are constructed and based on the proposed cross-entropy formula, the interval-valued intuitionistic fuzzy entropy measure is showed. The proposed entropy formula is applied to multiple attributes decision-making with unknown information of attribute weights by using the weighted correlation coefficient between IVIFSs. |
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| Keywords: | interval-valued intuitionistic fuzzy set interval-valued intuitionistic fuzzy cross-entropy interval-valued intuitionistic fuzzy entropy weighted correlation coefficient multiple attributes decision making |
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