A multi-attribute group decision-making method based on weighted geometric aggregation operators of interval-valued trapezoidal fuzzy numbers
A multi-attribute group decision-making method based on weighted geometric aggregation operators of interval-valued trapezoidal fuzzy numbers
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DOI：
10.1016/j.apm.2011.09.006
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发表时间：
2012-06-01
影响因子：
5
通讯作者：
Jin, Fang
中科院分区：
文献类型：
--
作者：
Liu, Peide;Jin, Fang
针对属性值为广义区间值梯形模糊数（GITFN）的多属性群决策问题，提出了一种基于加权几何集结算子的决策方法。首先介绍了GITFN的一些运算规则、两种GITFN之间的距离和比较。其次，提出了广义区间值梯形模糊数加权几何集结（GITFNWGA）算子、广义区间值梯形模糊数有序加权几何集结（GITFNOWGA）算子和广义区间值梯形模糊数混合几何集结（GITFNHGA）算子，并研究了它们的各种性质。同时，也给出了基于这些算子的群决策方法。最后通过一个实例说明了该方法的决策步骤和有效性。(C)2011 Elsevier Inc. All rights reserved.
With respect to the multiple attribute group decision making problems in which the attribute values take the form of generalized interval-valued trapezoidal fuzzy numbers (GITFN), this paper proposed a decision making method based on weighted geometric aggregation operators. First, some operational rules, the distance and comparison between two GITFNs are introduced. Second, the generalized interval-valued trapezoidal fuzzy numbers weighted geometric aggregation (GITFNWGA) operator, the generalized interval-valued trapezoidal fuzzy numbers ordered weighted geometric aggregation (GITFNOWGA) operator, and the generalized interval-valued trapezoidal fuzzy numbers hybrid geometric aggregation (GITFNHGA) operator are proposed, and their various properties are investigated. At the same time, the group decision methods based on these operators are also presented. Finally, an illustrate example is given to show the decision-making steps and the effectiveness of this method. (C) 2011 Elsevier Inc. All rights reserved.