Affiliations: College of Mechatronics Engineering and Automation, National University of Defense Technology, Changsha, Hunan Province, China
Note: [] Corresponding author. Xinye Zhao, College of Mechatronics Engineering and Automation, National University of Defense Technology, 410073 Changsha, Hunan Province, China. Tel.: +86 0731 84576272; Fax: +86 0731 84576272; E-mails: zhaoxinye@nudt.edu.cn (Xinye Zhao); tangshuai@nudt.edu.cn (Shuai Tang); yangshanliang@nudt.edu.cn (Shanliang Yang); huangkedi@sina.cn (Kedi Huang).
Abstract: With respect to multiple criteria group decision making problems with conflicting and non-commensurable criteria, it is generally difficult to find an alternative that meets all the criteria simultaneously. By extending the fuzzy VIKOR method, this study provides a rational and systematic process for developing the best alternative and compromise solution under the interval-valued intuitionistic fuzzy environment. Furthermore, a fuzzy cross-entropy approach is proposed to state the discrimination measure between optional and optimal interval-valued intuitionistic fuzzy numbers. Finally, to expatiate on the practical value of the method proposed, an illustrative example is presented to demonstrate its practicality and effectiveness over existing TOPSIS method.
Keywords: Interval-valued intuitionistic fuzzy sets (IVIFS), multiple criteria group decision making (MCGDM) problem, VIKOR, entropy, cross entropy
