A Comparison of the REMBRANDT System with a New Approach in AHP

Journal of Optimization in Industrial Engineering

مقاله 2، Volume 3، Issue 6، بهمن 2010، صفحه 7-12   

نویسندگان

Mahmoud Modiri¹؛ Mir Bahadorgholi Aryanezhad²؛ Hamed Maleki^{* 3}

¹Islamic Azad University, South Tehran Branch, Department of Management and Accounting, Tehran, Iran

²Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran

³Islamic Azad University, South Tehran Branch, Department of Industrial Engineering Tehran, Iran

چکیده

Analytic hierarchy process (AHP) has been criticized considerably for possible rank reversal phenomenon caused by the addition or deletion of an alternative. While in many cases this is a perfectly valid phenomenon, there are also many cases where ranks should be preserved. Our findings indicate that using the geometric mean reduces the variance in ratings substantially; hence, yielding lower inconsistency in ratings. An approach is therefore proposed using the geometric mean aggregation to avoid rank reversal phenomenon. A practical example is examined using the proposed approach to demonstrate its validity and racticability in rank preservation. This paper also compares the REMBRANDT system with the proposed approach to avoid rank reversal phenomenon.

کلیدواژه‌ها

Analytic hierarchy process (AHP)؛ REMBRANDT system؛ Rank reversal؛ Multiple attribute decision making (MADM)