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ELECTRE II method to deal with probabilistic linguistic term sets and its application to edge computing

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Abstract

The edge node selection problem in edge computing is a typical multi-criteria group decision-making problem. In this paper, we put forward an ELECTRE II method with the probabilistic linguistic information to handle the edge node selection problem. First, a novel distance measure is developed for probabilistic linguistic term sets (PLTSs) and an entropy measure is devised to measure the uncertainty degree of PLTSs. Based on the score value and entropy, a novel method is put forward to compare two PLTSs. Next, a weight-determining method for criteria based on multiple correlation coefficient and a weight-determining method for experts based on entropy theory are proposed. After that, a novel probabilistic linguistic ELECTRE II method is put forward to deal with the edge node selection problem. Comparison with previous methods is provided to verify the superiority of our method.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant Nos. 61872086, 71771156, and Distinguished Young Scientific Research Talents Plan in Universities of Fujian Province (2017).

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Authors and Affiliations

  1. College of Mathematics and Informatics, Fujian Normal University, Fuzhou, 350117, Fujian, China

    Mingwei Lin & Zheyu Chen

  2. Digital Fujian Internet-of-Things Laboratory of Environmental Monitoring, Fujian Normal University, Fuzhou, 350117, Fujian, China

    Mingwei Lin & Zheyu Chen

  3. Business School, Sichuan University, Chengdu, 610064, Sichuan, China

    Huchang Liao & Zeshui Xu

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  1. Mingwei Lin
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  2. Zheyu Chen
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  3. Huchang Liao
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  4. Zeshui Xu
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Correspondence to Mingwei Lin.

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Lin, M., Chen, Z., Liao, H. et al. ELECTRE II method to deal with probabilistic linguistic term sets and its application to edge computing. Nonlinear Dyn 96, 2125–2143 (2019). https://doi.org/10.1007/s11071-019-04910-0

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