RANKING DECISION ALTERNATIVES FOR EFFICIENCY ANALYSIS BY INTEGRATED FUZZY DEA AND FUZZY AHP-PROMETHEE

Data Envelopment Analysis (DEA) is a very effective method to evaluate the relative efficiency of decisionmaking units (DMUs) which is considered to be inefficient if some other DMUs can produce at least the same amount of output with less of the same resource input and not more of any other resource. Otherwise, a DMU is considered to be pareto efficient. DEA and Analytic Hierarchy Process (AHP) are widely used methods in ranking decision alternatives. Since the data cannot be precisely measured in some cases, the uncertain theory has played an important role in DEA. This study develops an iterative method of ranking decision alternatives by integrating fuzzy DEA and fuzzy Analytical Hierarchy Process (AHP) and the fuzzy Preference Ranking Organization Method for Enrichment Evaluations (PROMETHEE) techniques.The developed method first utilizes a modified fuzzy DEA model to narrow the ranges of a decision maker's preferences. Then, the tentative ranks of the decision alternatives, computed by embedding the decision maker's preferences, are depicted via fuzzy AHP- PROMETHEE to illustrate the cardinal and ordinal inconsistencies of these preferences. Finally, to illustrate the proposed model an example with six DMUs is considered.

Keywords:

Fuzzy DEA , Fuzzy AHP , Fuzzy PROMETHEE , Efficiency Analysis