Aggregation operators using einstein operations on intuitionistic trapezoidal fuzzy number

A multi-criteria group decision-making method based on Einstein aggregation operations is investigated to solve the decision-making problems under the intuitionistic trapezoidal fuzzy set environment. This study proposes to develop some novel intuitionistic fuzzy Einstein geometric aggregation operators with ITFNs, such as the intuitionistic trapezoidal fuzzy Einstein weighted geometric (ITFEWG) operator, the intuitionistic trapezoidal fuzzy Einstein ordered weighted geometric (ITFEOWG) operator, the induced intuitionistic trapezoidal fuzzy Einstein ordered weighted geometric (I-ITFEOWG) operator and the intuitionistic trapezoidal fuzzy Einstein hybrid geometric (ITFEHG) operator, and further establish various properties of these operators.