New work of trapezoidal cubic linguistic uncertain fuzzy Einstein hybrid weighted averaging operator and decision making

In this paper, we define some Einstein operations on trapezoidal cubic linguistic uncertain fuzzy numbers and develop two arithmetic averaging operators, that is, trapezoidal cubic linguistic uncertain fuzzy Einstein weighted averaging operator and trapezoidal cubic linguistic uncertain fuzzy Einstein hybrid weighted averaging (TrCLUFEHWA) operator, for aggregating trapezoidal cubic linguistic uncertain fuzzy information. Furthermore, we establish various properties of these operators and derive the relationship between the proposed operators and the exiting aggregation operators. We apply the TrCLUFEHWA operator to multiple-attribute decision making with trapezoidal cubic linguistic uncertain fuzzy information. Finally, a numerical example is provided to demonstrate the submission of the established approach.