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

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Abstract

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.

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Acknowledgments

The work was supported by National Natural Science Foundation of China (Nos. 71071002, 71371011, 71301001), Higher School Specialized Research Fund for the Doctoral Program (No. 20123401110001), The Scientific Research Foundation of the Returned Overseas Chinese Scholars, Anhui Provincial Natural Science Foundation (No. 1308085QG127), Provincial Natural Science Research Project of Anhui Colleges (No. KJ2012A026), Humanity and Social Science Youth Foundation of Ministry of Education (No. 13YJC630092), Humanities and social science Research Project of Department of Education of Anhui Province (No. SK2013B041).

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Authors and Affiliations

  1. School of Mathematical Sciences, Anhui University, Hefei, 230601, Anhui, China

    Ligang Zhou, Zhifu Tao & Huayou Chen

  2. School of Business, Anhui University, Hefei, 230601, Anhui, China

    Jinpei Liu

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  1. Ligang Zhou
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  2. Zhifu Tao
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  3. Huayou Chen
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  4. Jinpei Liu
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Correspondence to Huayou Chen.

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Communicated by R. John.

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Zhou, L., Tao, Z., Chen, H. et al. Generalized ordered weighted logarithmic harmonic averaging operators and their applications to group decision making. Soft Comput 19, 715–730 (2015). https://doi.org/10.1007/s00500-014-1295-8

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