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The probabilistic ordered weighted continuous OWA operator and its application in group decision making

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Abstract

In this paper, the aim is to propose a new aggregation operator called the probabilistic ordered weighted continuous OWA (POW-COWA) operator to aggregate the continuous interval number. The primary character of the POW-COWA operator is that it unifies the probability and the continuous OWA (COWA) operator in the same formulation through considering various importance degrees of different concepts in the aggregation process. Simultaneously, the new operator can be employed to diminish uncertainty and lower the complexity of data processing. Furthermore, we discuss some desired properties and different special cases of the developed operator. Additionally, a method of group decision making (GDM) under interval number environment is proposed based on the POW-COWA operator. At last, a numerical example is presented to illustrate the proposed method.

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Acknowledgements

The work was supported by Statistical Scientific Research Project of China (no. 2017LZ11), Open Project of School of Mathematical Sciences, Anhui University, National Natural Science Foundation of China (nos. 71301001, 71371011, 71501002), Provincial Natural Science Research Project of Anhui Colleges (no. KJ2015A379), The Doctoral Scientific Research Foundation of Anhui University.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Hefei Normal University, Hefei, Anhui, China

    Xi Liu

  2. School of Mathematical Sciences, Anhui University, Hefei, Anhui, China

    Xi Liu, Bing Han, Huayou Chen & Ligang Zhou

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  1. Xi Liu
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  2. Bing Han
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  3. Huayou Chen
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  4. Ligang Zhou
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Correspondence to Huayou Chen.

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Liu, X., Han, B., Chen, H. et al. The probabilistic ordered weighted continuous OWA operator and its application in group decision making. Int. J. Mach. Learn. & Cyber. 10, 705–715 (2019). https://doi.org/10.1007/s13042-017-0752-y

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  • DOI: https://doi.org/10.1007/s13042-017-0752-y

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