Generalized intuitionistic fuzzy geometric aggregation operators and their application to multi-criteria decision making

Abstract

In this paper, we extend the generalized weighted geometric and generalized ordered weighted geometric operators to intuitionistic fuzzy environments, that is, we develop a series of generalized intuitionistic fuzzy geometric operators to aggregate input arguments that are expressed by intuitionistic fuzzy values based on Archimedean t-conorm and t-norm. Then some desired properties of these aggregation operators are investigated. The relations between these operators and some existing intuitionistic fuzzy geometric aggregation operators are discussed in detail. Furthermore, applying these proposed operators, we develop an approach for multi-criteria decision making with intuitionistic fuzzy information. Finally, a practical example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Keywords:

• multi-criteria decision making
• intuitionistic fuzzy set
• generalized intuitionistic fuzzy geometric aggregation operator
• Archimedean t-norm and t-conorm

Acknowledgements

This work was partly supported by the projects of major international cooperation NSFC (No. 71210003), the state key program of NSFC (No. 71431006), the National Natural Science Foundation of China (No. 71271217), and the Program for New Century Excellent Talents at University of China (No. NCET-12-0541).