A new linguistic aggregation operator and its application to multiple attribute decision making

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• 作者：Jibin Lan ^{lanjibin@gxu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Yuwen Chen ; ^{tochenyuwen@163.com" class="auth_mail" title="E-mail the corresponding author} ; Mengyao Ning ; Zhongxing Wang
• 关键词：Linguistic aggregation operator ; Linguistic environment ; Ordering relation ; Strict pareto-dominance ; Multiple attribute decision making
• 刊名：Operations Research Perspectives
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2
• 期：Complete
• 页码：156-164
• 全文大小：423 K

文摘

In this paper, a new linguistic aggregation operator in linguistic environment is established and the desirable properties: monotonic, focus effect, idempotent, commutative and bounded are studied. Then, a new restricted ordering relation on the n$n$-dimensional linguistic scales is proposed which satisfies strict pareto-dominance and is restricted by a weighting vector. A practical multiple attribute decision making methodology for an uncertain linguistic environment is proposed based on the proposed operator. An example is given to illustrate the rationality and validity of the new approach to decision making application.