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Multiple attribute decision making based on q-rung orthopair fuzzy Hamacher Muirhead mean operators

  • Soft computing in decision making and in modeling in economics
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Abstract

The q-rung orthopair fuzzy set (q-ROFS) is a generalized orthopair fuzzy set which quantifies vague information comprehensively. The objective of this paper was to develop some novel Muirhead mean (MM) operators for any orthopair fuzzy numbers using Hamacher t-norm and t-conorm inspired arithmetic operations. The benefit of using Hamacher t-norm and t-conorm based arithmetic operations with MM operator is that their combination can consider not only the interrelationship among the multiple attributes but also provides flexibility in aggregation process due to additional parameters involved. Also, MM has prominent characteristics of being generalization of some well-known aggregation operators such as arithmetic mean (AM), geometric mean (GM), Bonferroni mean (BM), and Maclaurin symmetric mean (MSM). So, this paper develops MM operators based on Hamacher operations under q-rung orthopair fuzzy environment, i.e., q-rung orthopair fuzzy Hamacher Muirhead mean (q-ROFHMM) and q-rung orthopair fuzzy Hamacher weighted Muirhead mean (q-ROFHWMM) operators with some of their desirable properties. Paper also provide some special cases of these operators. Further, a multiple attribute decision making (MADM) method based on the proposed q-ROFHWMM operator has been developed. Finally, by utilizing this developed approach, a real-world MADM problem related to the selection of enterprise resource planning (ERP) system is discussed to illustrate the effectiveness of proposed operators

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  1. Doon University, Dehradun, Uttarakhand, India

    Sukhwinder Singh Rawat &  Komal

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  1. Sukhwinder Singh Rawat
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  2. Komal
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Rawat, S.S., Komal Multiple attribute decision making based on q-rung orthopair fuzzy Hamacher Muirhead mean operators. Soft Comput 26, 2465–2487 (2022). https://doi.org/10.1007/s00500-021-06549-9

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