Affiliations: [a] School of Management and Economics, Beijing Institute of Technology, Beijing, China
| [b] College of Management Science and Engineering, Shanxi University of Finance and Economics, Taiyuan, China
| [c] Business School, Guilin University of Technology, Guilin, China
Correspondence:
[*]
Corresponding authors. Guohua Qu and Yong Zou, College of Management Science and Engineering, Shanxi University of Finance and Economics 030006, China, Business School, Guilin University of Technology, Guilin, China. Tel.: +86 3517666466; Fax: +3517666868; E-mails: [email protected] (G. Qu) and [email protected] (Y. Zou).
Abstract: An intuitionistic fuzzy set (IFS) consists of two parts, the membership function and non-membership function which is a generalized form of a fuzzy set (FS), supporting a more exemplary and flexible access to assign values for each element in the domain. Intuitionistic fuzzy correlation coefficient between variables plays a significant role in a variety of areas. In the present paper, we use the Choquet integral and Shapley index to propose intuitionistic fuzzy Shapley Choquet integral correlation coefficient as a new extension of existing correlation coefficient for intuitionistic fuzzy correlation coefficient. Then, an evaluation formula of intuitionistic fuzzy Shapley 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 as well. Finally, we present a comparative analysis of the three methods in green sustainable supply chain choice to show the effectiveness of the developed methods.
Keywords: Intuitionistic fuzzy Shapley Choquet integral correlation coefficient, intuitionistic fuzzy sets, Shapley fuzzy measure, multiple criteria decision making
