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Analysis of compatibility between interdependent matrices in ANP

Author

Listed:
  • L C Leung

    (Chinese University of Hong Kong)

  • Y V Hui

    (City University of Hong Kong)

  • M Zheng

    (Fudan University)

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.

Suggested Citation

  • L C Leung & Y V Hui & M Zheng, 2003. "Analysis of compatibility between interdependent matrices in ANP," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(7), pages 758-768, July.
    • Handle: RePEc:pal:jorsoc:v:54:y:2003:i:7:d:10.1057_palgrave.jors.2601569
    DOI: 10.1057/palgrave.jors.2601569
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    References listed on IDEAS

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