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.
出处
《控制与决策》
EI
CSCD
北大核心
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)
关键词
属性决策
区间直觉梯形模糊数
集成算子
multi-attribute decision making
interval-valued intuitionistic trapezoidal fuzzy number
aggregation operator
