Hesitant probabilistic fuzzy linguistic sets with applications in multi-criteria group decision making problems

Dheeraj K Joshi, Ismat Beg and Sanjay Kumar

MPRA Paper from University Library of Munich, Germany

Abstract: Uncertainties due to randomness and fuzziness comprehensively exist in control and decision support system. In the present study, we introduce notion of occurring probability of possible values into hesitant fuzzy linguistic element (HFLE) and define hesitant probabilistic fuzzy linguistic set (HPFLS) for ill structured and complex decision making problem. HPFLS provides single framework where both stochastic and non-stochastic uncertainties can be efficiently handled along with hesitation. We have also proposed expected mean, variance, score and accuracy function and basic operations for HPFLS. Weighted and ordered weighted aggregation operators for HPFLS are also defined in the present study for its applications in multi-criteria group decision making (MCGDM) problems. We propose a MCGDM method with HPFL information which is illustrated by an example. A real case study is also taken in the present study to rank State Bank of India, InfoTech Enterprises, I.T.C., H.D.F.C. Bank, Tata Steel, Tata Motors and Bajaj Finance using real data. Proposed HPFLS based MCGDM method is also compared with two HFL based decision making methods.

Keywords: Hesitant fuzzy set; hesitant probabilistic fuzzy linguistic set; score and accuracy function; multi-criteria group decision making; aggregation operator. (search for similar items in EconPapers)
JEL-codes: C6 C61 C63 (search for similar items in EconPapers)
Date: 2017-09-05, Revised 2018-02-03
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Citations: View citations in EconPapers (7)

Published in Mathematics 47.6(2018): pp. 1-20

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Related works:
Journal Article: Hesitant Probabilistic Fuzzy Linguistic Sets with Applications in Multi-Criteria Group Decision Making Problems (2018)
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