摘要
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.
In view of the deficiency of axiomatic definitions of intuitionistic fuzzy sets among current researches, an improved axiomatic definition of the intuitionistic fuzzy entropy is presented, and a corresponding formula is structured. In order to minimize the influence of abnormal data for information aggregation, a power parameter is introduced to define the generalized power average（GPA） operator. The related properties of GPA are proposed and verified, and an approach for determining the power parameters is also presented. Furthermore, the GPA operator is extended to intuitionistic fuzzy environments to proposed the generalized intuitionistic fuzzy power average operator. In a framework of complex system whose performance is evaluated as intuitionistic fuzzy numbers（IFNs）, with respect to a multiple criteria group decision making（MCGDM） problem, in which there are both interactions among decision-makers, and criteria and decision-makers’ weights and criterion weights are both unknown, an interdependent MCGDM method based on an intuitionistic fuzzy entropy and a generalized intuitionistic fuzzy power average operator is proposed. A practical example illustrates the effectiveness and feasibility of the proposed decision-making methods.
出处
《控制与决策》
EI
CSCD
北大核心
2015年第6期1065-1077,共13页
Control and Decision
基金
国家自然科学基金项目(70971017
71371156)
西南交通大学优秀博士学位论文培育项目
关键词
多准则群决策
直觉模糊熵
幂均算子
广义直觉模糊幂均算子
multiple criteria group decision making
intuitionistic fuzzy entropy
power average operator
generalized intuitionistic fuzzy power average operator
