Some proportional 2-tuple geometric aggregation operators for linguistic decision making
In this paper, we investigate decision making problems with fuzzy linguistic information. Motivated by the idea of proportional 2-tuple (PT), we develop some new aggregation operators such as PT weighted geometric averaging operator, PT ordered weighted geometric averaging operator and PT hybrid geometric averaging operator, which can be utilized to aggregate preference information taking the form of linguistic variables, and study some desirable properties. Based on the aforesaid operators, we develop a practical method for decision making under the PT linguistic environments. Finally, an example is given to verify the developed approach and demonstrate its practicality and effectiveness.
proportional 2-tuple fuzzy linguistic representation model proportional 2-tuple weighted geometric averaging (ptwga) operator proportional 2-tuple ordered weighted geometric averaging (ptowga) operator proportional 2-tuple hybrid geometric averaging (pthga) operator