Multi-Criteria Decision-Making under m HF ELECTRE-I and H m F ELECTRE-I

Arooj Adeel, Muhammad Akram and Ali N.A. Koam
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Arooj Adeel: Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan
Muhammad Akram: Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan
Ali N.A. Koam: Department of Mathematics, College of Science, Jazan University, New Campus, P.O. Box 2097, Jazan 45142, Saudi Arabia

Energies, 2019, vol. 12, issue 9, 1-30

Abstract: In a few years, hesitant fuzzy sets (HFSs) have had an impact on several different areas of decision science. However, a number of researches have utilized the Elimination and choice translating reality (ELECTRE) methods to determine the multi-criteria decision-making (MCDM) problems with hesitant information. The aim of this research article is to develop new multi-criteria group decision-making (MCGDM) methods, such as the m -polar hesitant fuzzy ELECTRE-I ( m HF ELECTRE-I) method and hesitant m -polar fuzzy ELECTRE-I (H m F ELECTRE-I) method. Proposed MCGDM techniques based on the hybrid models, m -polar hesitant fuzzy sets ( m HFS-sets) and hesitant m -polar fuzzy sets (H m F-sets), which are the natural generalizations of HFSs and m -polar fuzzy sets ( m F sets). These models enable us to deal with multipolar information under hesitancy. We use the proposed methods to deal the complex problems in which the membership degree of an element of given set uses the m different numeric and fuzzy values, to rank all the alternatives and to determine the best alternative. We present two practical examples that illustrate the procedure of the proposed methods. We also discuss the differences and comparative analysis of the proposed methods. Finally, we develop an algorithm that implements our decision-making procedures by using computer programming.

Keywords: HFSs; m F sets; m HF-sets; H m F-sets; MCGDM; m HF ELECTRE-I; H m F ELECTRE-I (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2019
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