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The Distance Induced OWA Operator with Application to Multi-criteria Group Decision Making

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Abstract

Some aggregation operators with distance measures have been proposed, but distance measure values play the role of argument variables. In this paper, the induced ordered weighted averaging (IOWA) operator with the Hamming distance is proposed, termed as the distance induced ordered weighted averaging (DIOWA) operator. The most distinctive characteristic of the DIOWA operator is that the distance measure values play the role of order-inducing variables. Some properties and special cases of the DIOWA operator are analyzed. This new operator is further extended to the uncertain situations represented by interval numbers. A new multi-criteria group decision-making (MCGDM) method with the proposed operators in this paper is also studied. Finally, a numerical example about how to select the best candidate is given to show how to use the DIOWA operator with interval numbers in group decision making.

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Acknowledgement

This study was supported by the National Natural Science Foundation of China (71901079, 71872056, 71801061), the Humanities and Social Science Fund of Ministry of Education of China (17YJC630067) and the Heilongjiang Philosophy and Social Science Research Planning Project (19GLC166).

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Authors and Affiliations

  1. School of Economics and Management, Harbin Engineering University, Harbin, 150001, People’s Republic of China

    Chengju Gong, Yi Su, Weiwei Liu & Yuzhen Hu

  2. School of Management, Shenyang Jianzhu University, Shenyang, 110000, People’s Republic of China

    Ying Zhou

Authors
  1. Chengju Gong
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  2. Yi Su
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  3. Weiwei Liu
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  4. Yuzhen Hu
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Correspondence to Chengju Gong.

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Gong, C., Su, Y., Liu, W. et al. The Distance Induced OWA Operator with Application to Multi-criteria Group Decision Making. Int. J. Fuzzy Syst. 22, 1624–1634 (2020). https://doi.org/10.1007/s40815-020-00863-4

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  • DOI: https://doi.org/10.1007/s40815-020-00863-4

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