梯形模糊有序加权几何算子及其在决策中的应用  

Trapezoidal Fuzzy Ordered Weighted Geometric Operator and Its Application to Decision Making

作　　者：汪新凡[1] 杨小娟[1] 

机构地区：[1]湖南工业大学理学院,湖南株洲412008

出　　处：《数学的实践与认识》2011年第20期78-83,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(60874025);湖南省自然科学基金(11JJ6068)

摘　　要：针对梯形模糊数据信息的集成问题,给出了梯形模糊数两两比较的可能度公式和梯形模糊有序加权几何(TFOWG)算子.基于可能度公式和TFOWG算子,提出了一种准则权重信息完全未知且准则值以梯形模糊数形式给出的不确定多准则决策方法.最后,实例分析表明了该方法的可行性和有效性.For the problem of trapezoidal fuzzy argument information aggregation, the formula of possibility degree for the comparison between two trapezoidal fuzzy numbers and the trapezoidal fuzzy ordered weighted geometric （TFOWG） operator are proposed. Based on the formula of possibility degree and the TFOWG operator, an approach is developed for solving uncertain multiple criteria decision making problems, in which the criteria weights are completely unknown and the criteria values are trapezoidal fuzzy numbers. Finally, an illustrative example is given to show the feasibility and effectiveness of this method.

关 键 词：多准则决策 梯形模糊数 TFOWG算子 可能度 

分 类 号：C934[经济管理—管理学]