Aggregation operators on triangular intuitionistic fuzzy numbers and its application to multi-criteria decision making problems????(Open Access)

作者：Liang, Changyong; Zhao, Shuping; Zhang, Junling

来源：Foundations of Computing and Decision Sciences, 2014, 39(3): 189-208.

DOI：10.2478/fcds-2014-0011

• Aggregation operation
• Aggregation operator
• Intuitionistic fuzzy
• Multi criteria decision making
• Multi-criteria decision making methods
• Multi-criteria decision making problems
• Triangular intuitionistic fuzzy numbers
• Triangular intuitionistic fuzzy ordered weighted geometric operator (TIFOWG)

The aim of this work is to present some aggregation operators with triangular intuitionistic fuzzy numbers and study their desirable properties. Firstly, the score function and the accuracy function of triangular intuitionistic fuzzy number are given, the method for ranking triangular intuitionistic fuzzy numbers are developed. Then, some geometric aggregation operators for aggregating triangular intuitionistic fuzzy numbers are developed, such as triangular intuitionistic fuzzy weighted geometric (TIFWG) operator, the triangular intuitionistic fuzzy ordered weighted geometric (TIFOWG) operator and the triangular intuitionistic fuzzy hybrid geometric (TIFHG) operator. Moreover, an application of the new approach to multi-criteria decision making method was proposed based on the geometric average operator of TIFNs, and the new ranking method for TIFNs is used to rank the alternatives. Finally, an example analysis is given to verify and demonstrate the practicality and effectiveness of the proposed method.

• 出版日期2014
• 单位合肥工业大学