Analysis of compatibility between interdependent matrices in ANP

L C Leung, Y V Hui and M Zheng
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L C Leung: Chinese University of Hong Kong
Y V Hui: City University of Hong Kong
M Zheng: Fudan University

Journal of the Operational Research Society, 2003, vol. 54, issue 7, 758-768

Abstract: Abstract Analytic network process (ANP) addresses multi-attribute decision-making where attributes exhibit dependencies. A principal characteristic of such problems is that pairwise comparisons are needed for attributes that have interdependencies. We propose that before such comparison matrices are used—in addition to a test that assesses the consistency of a pairwise comparison matrix—a test must also be conducted to assess ‘consistency’ across interdependent matrices. We call such a cross-matrix consistency test as a compatibility test. In this paper, we design a compatibility test for interdependent matrices between two clusters of attributes. We motivate our exposition by addressing compatibility in Sinarchy, a special form of ANP where interdependency exists between the last and next-to-last level. The developed compatibility test is applicable to any pair of interdependent matrices that are a part of an ANP.

Keywords: analytic hierarchy process; analytic network process; cross-matrix consistency; simulation (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (3)

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DOI: 10.1057/palgrave.jors.2601569

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