Multiple attribute group decision-making based on generalized interval-valued Pythagorean fuzzy Einstein geometric aggregation operators

The aim of the paper is to develop the notion of some generalized interval-valued Pythagorean fuzzy aggregation operators using Einstein operational laws. Interval-valued Pythagorean fuzzy information are the good way to express the fuzzy information for decision and Einstein operations are the best approximations, and the generalized aggregation operators are a generalization of most aggregation operators. Thus, the main contribution of our this paper is to introduce three generalized aggregation operators based on interval-valued Pythagorean fuzzy numbers such as, the generalized interval-valued Pythagorean fuzzy Einstein-weighted geometric (GIVPFEWG) operator, the generalized interval-valued Pythagorean fuzzy Einstein ordered weighted geometric (GIVPFEOWG) operator, and the generalized interval-valued Pythagorean fuzzy Einstein hybrid geometric (GIVPFEHG) operator. Some of their desirable properties namely monotonicity, boundedness and idempotency are developed. Moreover, these methods are used for the selection of an expert and professional manager for a medicine company; for this, the specialists and experts of the problems deliver their favorites to display the practicality, and value of the new presented and developing valuable work.