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Uncertain Probabilistic Linguistic Term Sets in Group Decision Making

  • Chen Jin
  • Hai Wang
  • Zeshui XuEmail author
Article
  • 24 Downloads

Abstract

The probabilistic linguistic term set has been proposed to deal with the probabilistic distribution in providing linguistic assessments. However, because of various subjective and objective situations, it is usually hard for the decision makers to provide the probabilities of linguistic assessments exactly. The existing methods still have some shortcomings in dealing with ignorance. In this paper, we propose the concept of uncertain probabilistic linguistic term set (UPLTS) to serve as an extension of the existing tools. First, some basic operational laws and aggregation operators for the UPLTS are presented. Then, we develop an aggregation-based method and present the application of the UPLTSs in multiple attribute group decision making. Finally, a practical case is shown to illustrate the UPLTS.

Keywords

Uncertain probabilistic linguistic term set Multiple attribute group decision making Aggregation operators Probabilistic linguistic term set Ignorance problem Linguistic assessment 

Notes

Acknowledgements

The work was supported by the National Natural Science Foundation of China (Nos. 71571123, 71771155) and the Major Program of the National Social Science Fund of China (Grant No. 17ZDA092).

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Copyright information

© Taiwan Fuzzy Systems Association 2019

Authors and Affiliations

  1. 1.School of Computer and SoftwareNanjing University of Information Science and TechnologyNanjingChina
  2. 2.School of Government AuditNanjing Audit UniversityNanjingChina
  3. 3.Business School, State Key Laboratory of Hydraulics and Mountain River EngineeringSichuan UniversityChengduChina

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