Cubic fuzzy Einstein aggregation operators and its application to decision-making

Aliya Fahmi · Fazli Amin · Saleem Abdullah · Asad Ali

101 citations0/0 files storedInternational Journal of Systems Science

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Multi-Criteria Decision Making Fuzzy and Soft Set Theory Fuzzy Systems and Optimization

Abstract

In this paper, we define some Einstein operations on cubic fuzzy set (CFS) and develop three arithmetic averaging operators, which are cubic fuzzy Einstein weighted averaging (CFEWA) operator, cubic fuzzy Einstein ordered weighted averaging (CFEOWA) operator and cubic fuzzy Einstein hybrid weighted averaging (CFEHWA) operator, for aggregating cubic fuzzy data. The CFEHWA operator generalises both the CFEWA and CFEOWA operators. Furthermore, we develop various properties of these operators and derive the relationship between the proposed operators and the exiting aggregation operators. We apply CFEHWA operator to multiple attribute decision-making with cubic fuzzy data. Finally, a numerical example is constructed to demonstrate the established approach.

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References

1965Fuzzy sets 1996Fuzzy sets 1986Intuitionistic fuzzy sets 2007Intuitionistic Fuzzy Aggregation Operators 2006Some geometric aggregation operators based on intuitionistic fuzzy sets 1994New operations defined over the intuitionistic fuzzy sets 2002On the relationship between some extensions of fuzzy set theory 1996Structures on intuitionistic fuzzy relations

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