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Nonlinear Dynamics

, Volume 96, Issue 3, pp 2125–2143 | Cite as

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

  • Mingwei LinEmail author
  • Zheyu Chen
  • Huchang Liao
  • Zeshui Xu
Original Paper
  • 46 Downloads

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.

Keywords

Probabilistic linguistic term set Correlation coefficient Multi-criteria decision making Entropy measure ELECTRE II 

Notes

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).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.College of Mathematics and InformaticsFujian Normal UniversityFuzhouChina
  2. 2.Digital Fujian Internet-of-Things Laboratory of Environmental MonitoringFujian Normal UniversityFuzhouChina
  3. 3.Business SchoolSichuan UniversityChengduChina

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