Affiliations: [a] College of Management Science and Engineering, Shanxi University of Finance and Economics, Taiyuan, China
| [b]
Tai Yuan University, China
| [c] School of Economics and Trade, Guangdong University of Foreign Studies, Guangzhou, China
Correspondence:
[*]
Corresponding author. Guohua Qu, College of Management, Science and Engineering, Shanxi University of Finance and Economics, Taiyuan 030006, China. Tel.: +86 3517666466; Fax: +86 3517666868; E-mail: qugh@sxufe.edu.cn.
Abstract: The Choquet integral is a very useful way of measuring the expected utility an uncertain event. In this paper, we use the Choquet integral to propose intuitionistic fuzzy Choquet integral correlation coefficient as a new extension of existing correlation coefficient for intuitionistic fuzzy correlation coefficient. The extended correlation coefficient not only globally consider the importance of the elements or their ordered positions, but also can overall reflect their correlations. Furthermore, when the weight information about criteria represented by intuitionistic fuzzy set (IFSs) is incomplete known, a fuzzy measure model for the optimal measures on criteria set is established, which can be used to determine the criteria fuzzy measure. Then, an evaluation formula of intuitionistic fuzzy Choquet integral correlation coefficient between an alternative and the ideal alternative is proposed. The considered alternatives can be ranked and the most desirable one is selected. To comparative analysis, we also apply the Ye’s method [49] to solve the problem based on intuitionistic fuzzy correlation coefficient. Finally, a comparative analysis of the two methods is used to assess the green supply chain choice.
Keywords: Intuitionistic fuzzy choquet integral correlation coefficient, intuitionistic f fuzzy sets, choquet integral, multi-criterion decision making
