Generalized Spherical Fuzzy Einstein Aggregation Operators: Application to Multi-Criteria Group Decision-Making Problems

Abstract

The aim of this paper is to present the extension of a concept related to aggregation operators from spherical fuzzy sets to generalized spherical fuzzy sets. We first introduce Einstein sum, product and scalar multiplication for generalized spherical fuzzy sets based on Einstein triangular norm and triangular conorm. Then we give the generalized spherical fuzzy Einstein weighted averaging and generalized spherical fuzzy Einstein weighted geometric operators, namely generalized spherical fuzzy Einstein aggregation operators, constructed on these operations. After investigating some fundamental properties of these operators, we develop a model for generalized spherical fuzzy Einstein aggregation operators to solve the multiple attribute group decision-making problems. Finally, we give a numerical example to demonstrate that the developed method is suitable and effective for the decision process.

Keywords

• Generalized spherical fuzzy number
• Einstein aggregation operators
• multi-criteria group decision-making

Kaynakça

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