A spherical fuzzy extension of MULTIMOORA method

Abstract

The three dimensional extensions of ordinary fuzzy sets such as intuitionistic fuzzy sets (IFS), Pythagorean fuzzy sets (PFS), and neutrosophic sets (NS) aim at collecting experts’ judgments based on membership, non-membership and hesitancy degrees. Generalized three-dimensional spherical fuzzy sets have been introduced to the literature, including their arithmetic operations, aggregation operators, and defuzzfication operations. Expansion of classical Multi-Objective Optimization by a Ratio Analysis plus the Full Multiplicative Form (MULTIMOORA) has been performed by using ordinary fuzzy, hesitant fuzzy, intuitionistic fuzzy, and neutrosophic sets in the literature. I aim at developing the spherical fuzzy MULTIMOORA method since the spherical fuzzy point of view can contribute to this multicriteria decision environment. By using spherical fuzzy sets (SFS), the MULTIMOORA method can be more efficient for solving complex problems, which require evaluation and estimation under unreliable data environment. The validation of the proposed approach is shown through an illustrative example. Additionally, comparative analyses with neutrosophic MULTIMOORA and intuitionistic fuzzy TOPSIS methods are presented.

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