Some geometric Choquet aggregation operators using Einstein operations under intuitionistic fuzzy environment

Authors:
Shuai Zhang;Dejian Yu
Affiliations:
School of Information, Zhejiang University of Finance and Economics, Hangzhou, China;School of Information, Zhejiang University of Finance and Economics, Hangzhou, China
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

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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.