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考虑现有直觉模糊熵公理化定义存在的不足,提出改进直觉模糊熵的公理化定义及其计算公式;同时,定义广义幂均算子,验证其相关性质,给出确定幂方参数的方法,并将其推广至广义直觉模糊幂均算子;在以直觉模糊数(IFN)为信息输入的复杂系统框架内,针对决策者及准则之间均存在交互关联关系且权重信息完全未知的多准则群决策(MCGDM)问题,提出基于直觉模糊熵与广义直觉模糊幂均算子的关联MCGDM方法.案例分析表明,所提出的方法是可行且有效的.
Considering the shortcomings of the current intuitionistic fuzzy entropy axiomatization definition, the axiomatic definition of improved intuitionistic fuzzy entropy and its calculation formula are proposed. At the same time, the generalized power-average-preserving operator is defined, the related properties are verified, the method of determining the power- And generalized it to generalized intuitionistic fuzzy power average operator. In the framework of complex system with input of intuitionistic fuzzy number (IFN), aiming at the existence of multi-criteria (MCGDM) problem, an associated MCGDM method based on intuitionistic fuzzy entropy and generalized intuitionistic fuzzy power average operator is proposed. Case studies show that the proposed method is feasible and effective.