A validation procedure for fuzzy multiattribute decision making

Fuzzy multiattribute decision making (MADM) has been widely used in ranking a finite number of decision alternatives characterized by fuzzy assessments with respect to multiple criteria. The overall utility of an alternative is obtained by aggregating the criteria weights and alternatives ratings, on which the ranking is based. However, different aggregation techniques often produce inconsistent outcomes for the same problem. This paper presents a validation procedure for examining the validity of fuzzy MADM methods, in order to assist in selecting a valid outcome for a given selection problem. The procedure uses fuzzy clustering as a basis to compare with the results from fuzzy MADM methods. A case study of the scrap metal buyer selection is conducted to demonstrate the effectiveness of the procedure.