"Ranking Irregularities when Evaluating Alternatives by Using Some Multi-Criteria Decision Analysis Methods"

Handbook of Industrial and Systems Engineering, (A. Badiru, Editor), CRC Press, Taylor & Francis Group, Boca Raton, FL, U.S.A., Chapter 27, pp. 27-1 to 27-12, 2006.

by Xiaoting Wang and Evangelos Triantaphyllou

Instead of an Abstract (please note that the actual Book Chapter does not have an Abstract):
This chapter first introduces the main issues of multi-criteria decision analysis (MCDA). This involves discussion on some well-known MCDA methods. Next it describes some ranking irregularities when some MCDA methods are used. Ranking irregularities occur when certain manipulations on the structure of a simple MCDA problem are performed. Though a plethora of MCDA methods have been proposed to analyze the data of a decision problem and rank the alternatives, often times different MCDA methods may yield different answers for exactly the same problem. There is no exact way to know which method gives the right answer. This situation leads to the question of how to evaluate the performance of different MCDA methods. To partially answer this question, three test criteria based on some past related studies are presented.

Key Words:
Multi-criteria decision analysis, ranking irregularities, rank reversal, ELECTRE methods, the Analytic Hierarchy Process (AHP), Utility functions.


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