GREY RELATIONAL ANALYSIS METHOD FOR INTUITIONISTIC FUZZY MULTIPLE ATTRIBUTE DECISION MAKING WITH PREFERENCE INFORMATION ON ALTERNATIVES

The aim of this paper is to investigate intuitionistic fuzzy multiple attribute decision making problems with preference information on alternatives, in which the information on attribute weights is completely unknown and the attribute values and preference information on alternatives take the form of intuitionistic fuzzy numbers. In order to get the weight vector of the attribute, we establish an optimization model based on the basic ideal of traditional grey relational analysis (GRA) method, by which the attribute weights can be determined. Then, based on the traditional GRA method, calculation steps for solving intuitionistic fuzzy multiple attribute decision-making problems with incompletely known weight information are given. The degree of grey relation between each alternative and subjective preference is defined to determine the ranking order of all alternatives. The method can sufficiently utilize the objective information, and meet decision makers' subjective preference, can also be easily performed on computer. Furthermore, we shall extend the developed models and procedures to solve the interval-valued intuitionistic fuzzy multiple attribute decision making problems with preference information on alternatives. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.