Eigen spherical fuzzy set and its application to decision-making problem

An eigen fuzzy set of a fuzzy relation is often invariant under different computational aspects. The present research introduces a novel concept of eigen spherical fuzzy set of spherical fuzzy relations along with various composition operators for the first time. This study proposed two algorithms to determine the greatest eigen spherical fuzzy sets and least eigen spherical fuzzy sets using the max - min and min - max composition operators, respectively, and illustrated the steps through flow charts. Further, two numerical examples related to different fields of decision-making problems were taken into account for illustrating the proposed methodology. The scope of future work in the field of image information retrieval, genetic algorithm for image reconstruction, and notion of eigen spherical fuzzy soft sets/matrices was duly outlined. The comparative remarks and advantages of the proposed eigen spherical fuzzy sets were also included for better readability. (C) 2021 Sharif University of Technology. All rights reserved.