Abstract
This paper investigates the methods of dealing with the information aggregation problems in the context of intuitionistic fuzzy set and interval-valued intuitionistic fuzzy set respectively. As anything is highly relevant in the real world, it is important and significant for researchers to descript the relationships between any two subjects mathematically. The Choquet integral is a powerful tool to depict the interrelationships between objects. In this paper, we first propose the Einstein based intuitionistic fuzzy Choquet geometric (EIFCG) operator and Einstein based interval-valued intuitionistic fuzzy Choquet geometric (EIIFCG) operator. Then, the relationship between the EIFCG operator and the IFCG operator is investigated. We also study series of the desirable properties of the EIFCG operator and EIIFCG operator. Furthermore, an intuitionistic fuzzy multi-criteria decision making method based on the EIFCG operator is proposed. We also focus on the correlations with other intuitionistic fuzzy multi-criteria decision making method.