AN APPROACH FOR MADM PROBLEMS WITH INTERVAL-VALUED INTUITIONISTIC FUZZY SETS BASED ON NONLINEAR FUNCTIONS

作者：Wu, Jian^*; Cao, Qingwei; Li, Hui

来源：Technological and Economic Development of Economy, 2016, 22(3): 336-356.

DOI：10.3846/20294913.2014.989931

• multi-attribute decision-making
• interval-valued intuitionistic fuzzy set
• score function
• accuracy function
• hesitation function
• normal distribution

This paper investigates an approach for multiple attribute decision making (MADM) problems with interval-valued intuitionistic fuzzy numbers (IVIFNs). To do that, the nonlinear score, accuracy and hesitation functions of IVIFNs are developed based on the normal distribution. The novelty of these nonlinear functions is that they have an additional variance value, which can have more information to rank IVIFNs than Xu and Chen's score function and Ye's accuracy function. Based on these nonlinear functions, a ranking method for IVIFNs is proposed. Furthermore, a nonlinearly optimized model is proposed to obtain attribute weights by integrating these nonlinear functions. Then, we develop an approach for interval-valued intuitionistic fuzzy MADM programs in which two cases are considered: the attribute weight information is known and particularly known. In the end, we apply the proposed approach to select green supplier.

• 出版日期2016
• 单位浙江师范大学