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。
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 infor-mation of attribute weights by using the weighted correlation coefficient between IVIFSs.
出处
《计算机工程与应用》
CSCD
北大核心
2016年第12期85-89,共5页
Computer Engineering and Applications
基金
国家自然科学基金(No.61175046)
安徽大学学术创新团队资助(No.KJTD001B)
安徽省高等学校省级自然科学研究基金资助重点项目(No.KJ2013A033)
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
interval-valued intuitionistic fuzzy set
interval-valued intuitionistic fuzzy cross-entropy
interval-valued intuitionistic fuzzy entropy
weighted correlation coefficient
multiple attributes decision making
