Some Hesitant Fuzzy Hamacher Power-Aggregation Operators for Multiple-Attribute Decision-Making

Mi Jung Son, Jin Han Park and Ka Hyun Ko
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Mi Jung Son: Department of Data Information, Korea Maritime and Ocean University, Busan 606-791, Korea
Jin Han Park: Department of Applied Mathematics, Pukyong National University, Busan 608-737, Korea
Ka Hyun Ko: Department of Applied Mathematics, Pukyong National University, Busan 608-737, Korea

Mathematics, 2019, vol. 7, issue 7, 1-33

Abstract: As an extension of the fuzzy set, the hesitant fuzzy set is used to effectively solve the hesitation of decision-makers in group decision-making and to rigorously express the decision information. In this paper, we first introduce some new hesitant fuzzy Hamacher power-aggregation operators for hesitant fuzzy information based on Hamacher t -norm and t -conorm. Some desirable properties of these operators is shown, and the interrelationships between them are given. Furthermore, the relationships between the proposed aggregation operators and the existing hesitant fuzzy power-aggregation operators are discussed. Based on the proposed aggregation operators, we develop a new approach for multiple-attribute decision-making problems. Finally, a practical example is provided to illustrate the effectiveness of the developed approach, and the advantages of our approach are analyzed by comparison with other existing approaches.

Keywords: hesitant fuzzy element (HFE); Hamacher operations; hesitant fuzzy Hamacher power-aggregation operators; multiple-attribute decision-making (MADM) (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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