Fuzzy multiple attribute decision making with eight types of preference information on alternatives

A new approach is proposed for the fuzzy multiple attribute decision making (MADM) problems with preference information on alternatives. In the approach, multiple decision makers give their preference information on alternatives in different formats. The uniformities and aggregation process with fuzzy majority method are employed to obtain the social fuzzy preference relation on the alternatives. Accordingly, an optimization model is constructed to assess the ranking values of the alternatives