Multiattribute group decision making based on interval-valued Pythagorean fuzzy Einstein geometric aggregation operators

摘要

The focus of our paper is to introduce a series of Einstein operators such as, interval-valued Pythagorean fuzzy Einstein-weighted geometric (abbreviated as IVPFEWG) operator, interval-valued Pythagorean fuzzy Einstein-ordered weighted geometric (abbreviated as IVPFEOWG) operator, and interval-valued Pythagorean fuzzy Einstein hybrid geometric (abbreviated as IVPFEHG) operator. Some structure properties such as idempotency, commutativity, monotonicity, and boundedness are also presented. At the end of the paper we developed a numerical example to show the weight and value of the new methods.