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A hybrid decision-making model under q-rung orthopair fuzzy Yager aggregation operators

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Abstract

Aggregation operators perform a significant role in many decision-making problems. The purpose of this paper is to analyze the aggregation operators under the q-rung orthopair fuzzy environment with Yager norm operations. The q-rung orthopair fuzzy set is an extension of intuitionistic fuzzy set and Pythagorean fuzzy set in which sum of qth power of membership and non-membership degrees is bounded by 1. By applying the Yager norm operations to q-rung orthopair fuzzy set, we developed six families of aggregation operators, namely q-rung orthopair fuzzy Yager weighted arithmetic operator, q-rung orthopair fuzzy Yager ordered weighted arithmetic operator, q-rung orthopair fuzzy Yager hybrid weighted arithmetic operator, q-rung orthopair fuzzy Yager weighted geometric operator, q-rung orthopair fuzzy Yager ordered weighted geometric operator and q-rung orthopair fuzzy Yager hybrid weighted geometric operator. To prove the validity and feasibility of proposed work, we discuss two multi-attribute decision-making problems. Moreover, we investigate the influence of some values of parameter on decision-making results. Finally, we give a comparison with existing operators.

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  1. Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

    Muhammad Akram & Gulfam Shahzadi

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  1. Muhammad Akram
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  2. Gulfam Shahzadi
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Correspondence to Muhammad Akram.

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Akram, M., Shahzadi, G. A hybrid decision-making model under q-rung orthopair fuzzy Yager aggregation operators. Granul. Comput. 6, 763–777 (2021). https://doi.org/10.1007/s41066-020-00229-z

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