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The Unbalanced Linguistic Aggregation Operator in Group Decision Making

机译：群体决策中的不平衡语言聚合算子

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摘要

Many linguistic aggregation methods have been proposed and applied in the linguistic decision-making problems. In practice, experts need to assess a number of values in a side of reference domain higher than in the other one; that is, experts use unbalanced linguistic values to express their evaluation for problems. In this paper, we propose a new linguistic aggregation operator to deal with unbalanced linguistic values in group decision making, we adopt 2-tuple representation model of linguistic values and linguistic hierarchies to express unbalanced linguistic values, and moreover, we present the unbalanced linguistic ordered weighted geometric operator to aggregate unbalanced linguistic evaluation values; a comparison example is given to show the advantage of our method.
机译：已经提出了许多语言聚合方法并将其应用于语言决策问题。实际上，专家需要在参考域的一侧评估比其他领域更高的一些值；也就是说，专家使用不平衡的语言价值来表达他们对问题的评估。本文提出了一种新的语言聚合算子，用于处理群体决策中不平衡的语言价值，采用语言元和语言层次结构的二元组表示模型来表达不平衡的语言价值，并给出了不平衡的语言顺序加权几何运算符，用于汇总不平衡的语言评估值；给出了一个比较示例以说明我们方法的优点。

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  • 来源
    《Mathematical Problems in Engineering》 |2012年第5期|p.52.1-52.12|共12页
  • 作者

    Li Zou; Zheng Pei; Hamid Reza Karimi; Peng Shi;

  • 作者单位

    School of Computer and Information Technology, Liaoning Normal University, Dalian 116029, China;

    School ofMathematic and Computer Engineering, Xihua University, Sichuan, Chengdu 610039, China;

    Department of Engineering Faculty of Engineering and Science, University of Agder, 4898 Grimsiad, Norway;

    Department of Computing and Mathematical Sciences, University of Glamorgan, Pontypridd CF37 1DL,UK,School of Engineering and Science, Victoria University, Melbourne, VIC 8001, Australia;

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