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Mathematical Problems in Engineering
Volume 2018 (2018), Article ID 9364987, 11 pages
https://doi.org/10.1155/2018/9364987
Research Article

Interval-Valued Intuitionistic Fuzzy Einstein Geometric Choquet Integral Operator and Its Application to Multiattribute Group Decision-Making

Logistics and E-Commerce College, Zhejiang Wanli University, Ningbo 315100, China

Correspondence should be addressed to Qifeng Wang; moc.361@fqwyhl

Received 20 July 2017; Revised 4 November 2017; Accepted 7 November 2017; Published 14 January 2018

Academic Editor: Peide Liu

Copyright © 2018 Qifeng Wang and Haining Sun. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

With respect to the multiattribute decision-making (MADM) problem in which the attributes have interdependent or interactive phenomena under the interval-valued intuitionistic fuzzy environment, we propose a group decision-making approach based on the interval-valued intuitionistic fuzzy Einstein geometric Choquet integral operator (IVIFEGC). Firstly, the Einstein operational laws and some basic principle on interval-valued intuitionistic fuzzy sets are introduced. Then, the IVIFEGC is developed and some desirable properties of the operator are studied. Further, an approach to multiattribute group decision-making with interval-valued intuitionistic fuzzy information is developed, where the attributes have interdependent phenomena. Finally, an illustrative example is used to illustrate the developed approach.