关键词: 不确定性多属性决策, 密度集结算子, 广义梯形模糊数, 质心排序指标值, 密度加权向量

Abstract: 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.

Key words: uncertain multi-attribute decision making, density aggregation operators, generalized trapezoid fuzzy number, centroid ranking index value, density weighting operator