Abstract: The paper investigates the dynamic hybrid multiple attribute decision making problems, in which the decision information, provided by decision makers at different periods, is expressed in intuitionistic fuzzy numbers or interval-valued intuitionistic fuzzy numbers, respectively. We first develop two new aggregation operators called dynamic intuitionistic fuzzy Einstein weighted geometric (DIFEWG) operator and dynamic interval-valued intuitionistic fuzzy Einstein weighted geometric (DIVIFEWG) operator. Moreover, a procedure based on the DIFEWG and DIVIFEWG operators is developed to solve the dynamic hybrid multiple attribute decision making problems where all the decision information about attribute values takes the form of intuitionistic fuzzy numbers or interval-valued intuitionistic fuzzy numbers collected at different periods. Then, we utilize two different grey relational analysis (intuitionistic fuzzy GRA and interval-valued intuitionistic fuzzy GRA) to calculate the overall grey relational degree of each alternative to the positive and negative ideal alternatives based on the decision information expressed in intuitionistic fuzzy numbers or interval-valued intuitionistic fuzzy numbers, respectively and then calculate the relative grey relational degree of each alternative to the positive to rank all the altenatives. Finally, an illustrative example for curative effect evaluation of psychotic disorders is given to verify the developed approach and to demonstrate its practicality and effectiveness.
