Average operators based on spherical cubic fuzzy number and their application in multi-attribute decision making

Document Type : Original Article

Authors

1 Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan

2 Department of Mathematics, Institute of Numerical Sciences Kohat University of Science and Technology, Kohat, KPK, Pakistan

Abstract

One of the most important concepts to resolve more complexities is the spherical cubic fuzzy set (SCFS) than the intuitionistic cubic fuzzy set, the Pythagorean cubic fuzzy set, and therefore its implementations are more extensive. The purpose of this article is to present the operational laws of the SCFS by taking into account the characteristics and significance of the SCFS. A number of new aggregation operators are defined as spherical cubic fuzzy weighted averaging operator, spherical cubic fuzzy ordered weighted averaging operator, spherical cubic fuzzy hybrid weighted averaging operator, using fundamental laws to aggregate the spherical cubic details. Subsequently, we present a multi-attribute decision-making method based on the proposed weighted average aggregation operators and explain the acceptable choice of supplier as a real-life problem to verify it with a numerical example. A comparative analysis is also being carried out to demonstrate the superiority of the proposed method.

Keywords

References

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Annals of Optimization Theory and Practice
Volume 3, Issue 4
December 2020
Pages 83-111

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