A ranking method for multiple attribute decision-making problems based on the possibility degrees of trapezoidal intuitionistic fuzzy numbers

作者：Hao, Yonghua^*; Chen, Xinguo; Wang, Xuzhu

来源：International Journal of Intelligent Systems, 2019, 34(1): 24-38.

DOI：10.1002/int.22038

• decision theory
• fuzzy logic
• ranking
• trapezoidal intuitionistic fuzzy induced ordered weighted arithmetic averaging operator
• trapezoidal intuitionistic fuzzy number

To solve multiple attribute decision-making problems with attribute values or decision values characterized by trapezoidal intuitionistic fuzzy numbers (TIFNs), we define a trapezoidal intuitionistic fuzzy induced ordered weighted arithmetic averaging (TIFIOWA) operator, which is an extension of the induced ordered weighted arithmetic averaging operator. We derive and prove some related properties and conclusions of the TIFIOWA operator. To compare the TIFNs, we define possibility degrees of the TIFNs. Based on the possibility degrees of the TIFNs and the TIFIOWA operator, we construct a new method to determine the order of alternatives in multiple attribute decision making and to choose the best alternative. Finally, a numerical example shows that the developed method is feasible and effective.

• 出版日期2019-1
• 单位太原理工大学