A method based on linguistic aggregation operators for group decision making with linguistic preference relations
A method based on linguistic aggregation operators for group decision making with linguistic preference relations
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DOI：
10.1016/j.ins.2003.10.006
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发表时间：
2004-10-29
影响因子：
8.1
通讯作者：
Xu, ZS
中科院分区：
文献类型：
--
作者：
Xu, ZS
本文定义了语言变量的一些运算法则，并提出了一些新的集结算子，如语言几何平均（LGA）算子、语言加权几何平均（LWGA）算子、语言有序加权几何平均（LOWGA）算子和语言混合几何平均（LHGA）算子等。它可以用来聚集语言变量形式的偏好信息，然后研究算子的一些理想性质。基于LGA和LHGA算子，提出了一种实用的语言偏好群决策方法。该方法简单明了，没有信息损失。最后给出了一个数值例子。(C)2003年爱思唯尔公司All rights reserved.
In this paper, we define some operational laws of linguistic variables and develop some new aggregation operators such as linguistic geometric averaging (LGA) operator, linguistic weighted geometric averaging (LWGA) operator, linguistic ordered weighted geometric averaging (LOWGA) operator and linguistic hybrid geometric averaging (LHGA) operator, etc., which can be utilized to aggregate preference information taking the form of linguistic variables, and then study some desirable properties of the operators. Based on the LGA and the LHGA operators, we propose a practical method for group decision making with linguistic preference relations. The method is straightforward and has no loss of information. Finally, an illustrative numerical example is also given. (C) 2003 Elsevier Inc. All rights reserved.