Improved Consistency Ratio for Pairwise Comparison Matrix in Analytic Hierarchy Processes

L. N. Pradeep Kumar Rallabandi (), Ravindranath Vandrangi and Subba Rao Rachakonda ()
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L. N. Pradeep Kumar Rallabandi: JNT University Kakinada, Kakinada 533003, Andhra Pradesh, India
Ravindranath Vandrangi: JNT University Kakinada, Kakinada 533003, Andhra Pradesh, India
Subba Rao Rachakonda: Sri Vishnu Engineering College for Women, Bhimavaram 534202, Andhra Pradesh, India

Asia-Pacific Journal of Operational Research (APJOR), 2016, vol. 33, issue 03, 1-19

Abstract: The analytical hierarchy process (AHP) uses pairwise comparison matrix (PCM) to rank a known set of alternatives. Sometimes the comparisons made by the experts may be inconsistent which results in incorrect weights and rankings for the AHP. In this paper, a method is proposed which identifies inconsistent elements in a PCM and revises them iteratively until the inconsistency is reduced to an acceptable level. An error function similar to chi-square is used to identify the inconsistent elements which are revised with suitable values. The method is illustrated with some numerical examples mentioned in the literature and a comparative study of the results in terms of deviation from the PCM and preservation of original information is taken up. Monte Carlo simulation experiments over a large set of random matrices indicate that the proposed method converges for the moderately inconsistent matrices.

Keywords: Decision analysis; consistency ratio; pairwise comparison matrix; analytic hierarchy process (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S0217595916500202

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