Abstract:

The group decision making problem with finite alternatives was investigated, in which the preference ordinals were expressed by three parameters interval numbers. Firstly, the definition of three parameters interval number was given, and the probabilistic description of preference ordinals was presented by considering of preference information. Secondly, two definitions of consistency of preference ordinals were introduced, and an algorithm was proposed to adjust the inconsistency in preference ordinals. A method based on deviation function was presented to determine the weighted vector of decision maker, and then the effective algorithm to solve group decision making problem with finite alternatives was estabished. Finally, a practical example was illustrated to show the feasibility and availability of the developed method.
 

Key words: three parameters interval number; preference ordinal; deviation function; group decision making