A revised Fuzzy - PROMETHEE method , using Fuzzy Distance and Similarity Measures

PROMETHEE refers to a collection of methods of ranking in the field of multi-criteria decision making. These methods are characterized by conceptual simplicity and practical applicability. However, the nature of phenomena involving decision-making in real world leads us to use fuzzy method of preference ranking. The most common criticism on mathematical ranking procedures is that they tend to defuzzify the problem by calculating a real number for each fuzzy set. In this paper we present a more precise fuzzy preference ranking method in uncertain, fuzzy  environment for decision making.  The new method allocates a  linguistic term to each alternative by using fuzzy distance and fuzzy similarity measures. The linguistic term with the greatest similarity is allocated to a related alternative choice. The alternatives with fuzzy scores are ranked based on their allocated linguistic terms. Accordingly, we can make better decisions because we have verbal forms of the scores. A numerical example of decision making is presented and the results are compared with results of other F-PROMETHEE methods.  Selecting nanotechnology application fields in Iran is presented as a real case.