基于区间直觉梯形模糊数的多属性决策方法  

Multi-attribute decision making method based on interval-valued intuitionistic trapezoidal fuzzy number

作　　者：万树平[1] 

机构地区：[1]江西财经大学信息管理学院,南昌330013

出　　处：《控制与决策》2011年第6期857-860,866,共5页Control and Decision

基　　金：国家自然科学基金项目(71061006;70861002);教育部人文社科项目(09YGC630107;09YJA630055);江西省教育科学"十一五"和"十二五"规划课题项目(09YB267;10YB099)

摘　　要：对区间直觉梯形模糊数进行研究.探讨了区间直觉梯形模糊数的运算法则及其性质;给出了区间直觉梯形模糊数的加权算术平均和加权几何平均算子,定义了区间直觉梯形模糊数的得分函数和精确函数,进而给出其排序方法;建立了基于区间直觉梯形模糊数的多属性决策模型,并提出了相应的决策方法.实例分析验证了所提出方法的有效性.Interval-valued intuitionistic trapezoidal fuzzy number is investigated. Some operational laws of interval-valued intuitionistic trapezoidal fuzzy numbers are defined and some related properties are researched, the Weighted arithmetic average operator and weighted geometric average operator for the interval-valued intuitionistic trapezoidal fuzzy numbers are given. The score function and accurate function of intuitionistic trapezoidal fuzzy numbers are defined, and then an approach for ranking interval-valued intuitionistic trapezoidal fuzzy numbers is presented. The model of multi-attribute decision making is constructed based on interval-valued intuitionistic trapezoidal fuzzy numbers. The corresponding method of decision making is proposed. The example analysis shows the effectiveness of the method.

关 键 词：属性决策 区间直觉梯形模糊数 集成算子 

分 类 号：C934[经济管理—管理学]