Generalized ordered weighted logarithmic harmonic averaging operators and their applications to group decision making

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• 作者：Ligang Zhou (1)
  Zhifu Tao (1)
  Huayou Chen (1)
  Jinpei Liu (2)
  
  1. School of Mathematical Sciences ; Anhui University ; Hefei ; 230601 ; Anhui ; China
  2. School of Business ; Anhui University ; Hefei ; 230601 ; Anhui ; China
  
• 关键词：Group decision making ; Aggregation operator ; OWA operator ; GOWLHA operator
• 刊名：Soft Computing - A Fusion of Foundations, Methodologies and Applications
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：19
• 期：3
• 页码：715-730
• 全文大小：1,243 KB
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• 刊物类别：Engineering
• 刊物主题：Numerical and Computational Methods in Engineering
  Theory of Computation
  Computing Methodologies
  Mathematical Logic and Foundations
  Control Engineering
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1433-7479

文摘

We present a new aggregation operator called the generalized ordered weighted logarithmic harmonic averaging (GOWLHA) operator, which is based on an optimal deviation model. We study some properties and different particular cases of the GOWLHA operator. We also generalize the GOWLHA operator. The key advantage of the GOWLHA operator is that it is an aggregation operator with theoretic basis on aggregation. Moreover, we indicate some properties of the GOWLHA operator weights and propose an orness measure of the GOWLHA operator. Furthermore, we introduce the generalized least squares method to determine the GOWLHA operator weights based on its orness measure. In the end, we develop an application of the new approach in a case of group decision making in political management.