Interval Type-2 Fuzzy Envelope of Proportional Hesitant Fuzzy Linguistic Term Set: Application to Large-Scale Group Decision Making

Yaya Liu, Rosa M. Rodríguez and Luis Martínez
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Yaya Liu: Business School, University of Shanghai for Science and Technology, Shanghai 200093, China
Rosa M. Rodríguez: Department of Computer Science, University of Jaen, 23071 Jaen, Spain
Luis Martínez: Department of Computer Science, University of Jaen, 23071 Jaen, Spain

Mathematics, 2022, vol. 10, issue 14, 1-27

Abstract: Large-scale group decision-making (LS-GDM) problems are common in the daily life of human beings. Both information fusion and computing with words (CWW) technologies in LS-GDM suffer from challenges. In the current research, a proportional hesitant fuzzy linguistic term set (PHFLTS) will be applied to capture the preferences of sub-groups in LS-GDM, which decreases the information lost in information fusion processes. Novel fuzzy semantic representation models of PHFLTS, such as type-1 fuzzy envelope and interval type-2 fuzzy envelope, are respectively studied. The application of the proposed fuzzy entropies facilitates the CWW process with the PHFLTS under the framework of a fuzzy linguistic approach. In particular, linguistic uncertainties contained in the PHFLTS can be reflected in a comprehensive way when the type-2 fuzzy envelope is applied, which contributes to the decrease in the information lost during the CWW process. A novel LS-GDM method cooperating with the fuzzy semantic models of PHFLTS is proposed, in which weights for the sub-groups are determined by size, cohesion, and degree of reliability among the sub-groups. Finally, the proposed decision method as well as CWW tools are applied to the process of urban renewal plan selection.

Keywords: large-scale group decision making; proportional hesitant fuzzy linguistic term set; fuzzy semantic representation model; computing with words (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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