广义梯形模糊数密度加权算子及其应用

针对多属性决策问题,本文面向广义梯形模糊数的决策信息,提出了广义梯形模糊数密度加权算子(TF-DWA算子)的信息集结方法。首先介绍了广义梯形模糊数密度加权算子及其合成算子,并分析了其性质特点。然后,基于信息分布的疏密程度讨论了广义梯形模糊数的分组问题,通过质心排序指标值进行聚类。在此基础上,基于熵值法求解密度加权向量。最后,通过一个应用算例对本文提出的算子进行简要说明。

Generalized Trapezoidal Fuzzy Number Density Weighted Operator and Its Application

the problem ofmulti-attribute decision makingwith fuzzy language information as generalized trapezoid fuzzy number,this paper proposes an aggregation approach called generalized trapezoid fuzzy number density weighted(TF-DWA)operator. In the aggregation process, we firstly introducethe generalized trapezoid fuzzy number density weighted operator and its synthetic operators. Moreover, the primary properties of the operator are analyzed. Then, the grouping problem of the generalized trapezoid fuzzy number is discussed and a clustering method based on centroid ranking index value is given.Based on this, density-weighted vectors are solved based on entropy method. At last, the application of generalized trapezoid fuzzy number density aggregation operator is illustrated by a numerical example.