基于离差最大化的直觉模糊多属性决策方法  

Intuitionistic Fuzzy Multiple Attribute Decision Making Method Based on Maximum Deviation

作　　者：黄国庆[1,2] 王鹏飞[2] 宋飞[2] 

机构地区：[1]空军第一航空学院航空电子工程系,河南信阳464000 [2]郑州大学信息工程学院,郑州450001

出　　处：《四川兵工学报》2014年第3期144-147,共4页Journal of Sichuan Ordnance

摘　　要：针对传统的直觉模糊多属性决策方法中采用直觉模糊熵赋权法的不足,提出了直觉模糊条件下离差最大化赋权方法,构造了直觉模糊数距离公式并对该公式正确性进行了证明,给出了采用了新的赋权方法的多属性决策方法的具体步骤。并以实例验证了新的决策方法的合理有效性。分析结果表明:基于离差最大化的直觉模糊多属性决策方法与传统的基于熵权的直觉模糊多属性决策方法相比,不但考虑了指标值自身的信息,同时考虑了不同方案指标值间的差异,决策结果更加可靠。Firstly, the lack of traditional IFMADM （intuitionistic fuzzy multiple attribute decision making） method based on intuitionistic fuzzy entropy was pointed out, and the maximum deviation method was pro posed in the intuitionistic fuzzy conditions. Then the distance formula of intuitionistic fuzzy numbers was built and its correctness was proved. The concrete steps of the MADM （multiple attribute decision mak ing） method based on maximum deviation were given. Finally, an example was given to verify the rational ity of the new decisionmaking method. It shows that, compared with the traditional decisionmaking meth od based on entropy, the new method not only considers the index value, but also takes into account the difference among the index values of different options, so it is more reasonable.

关 键 词：直觉模糊熵 距离公式 多属性决策 离差最大化 赋权法 

分 类 号：O159[理学—数学]