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Complex fuzzy ordered weighted quadratic averaging operators

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Abstract

A complex fuzzy set, the generalization of fuzzy set provides a powerful mathematical framework whose membership degrees are in the form of complex numbers in the unit disc. The averaging operators consisting of the properties of both t-norm and t-conorm are of great importance in complex fuzzy environment. In this paper, we present certain quadratic averaging operators, including complex fuzzy weighted quadratic averaging, complex fuzzy ordered weighted quadratic averaging, complex fuzzy Einstein weighted quadratic averaging and complex fuzzy Einstein ordered weighted quadratic averaging operators. These operators are used to study many different issues of periodic nature. We apply these models to the multi-attribute decision-making problems and wireless detection of target location. Conclusively, we can choose the best opinion by the ranking of the aggregated outputs and detect the position and direction of a target. Moreover, we describe these models through numerical examples to check their validity and importance in real life problems. To explain the consistency and authenticity of our model, we examine a comparative analysis with existing aggregation techniques.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, New Campus, Lahore, 54590, Pakistan

    Muhammad Akram & Ayesha Bashir

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  1. Muhammad Akram
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  2. Ayesha Bashir
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Correspondence to Muhammad Akram.

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Akram, M., Bashir, A. Complex fuzzy ordered weighted quadratic averaging operators. Granul. Comput. 6, 523–538 (2021). https://doi.org/10.1007/s41066-020-00213-7

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