Cubic linguistic uncertain Einstein averaging operators and decision-making problems

Abstract

We introduce the Einstein operations based on cubic linguistic uncertain fuzzy numbers. We discuss three arithmetic averaging operators, viz. the cubic linguistic uncertain fuzzy Einstein weighted averaging operator, the cubic linguistic uncertain fuzzy Einstein ordered weighted averaging operator, and the cubic linguistic uncertain fuzzy Einstein hybrid weighted averaging operator, for gathering cubic linguistic uncertain fuzzy data. Moreover, we investigate the association between the current aggregation operators and the suggested operators. We also establish several properties of these operators. To illustrate the proposed method and demonstrate its efficiency, an example is constructed and the results compared with those obtained using existing methods.