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Deriving Fuzzy Weights from the Consistent Fuzzy Analytic Hierarchy Process

Author

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  • Chin-Yi Chen

    (Department of Business Administration, Chung Yuan Christian University, No. 200 Chung Pei Road, Chung Li District, Taoyuan 320, Taiwan)

  • Jih-Jeng Huang

    (Department of Computer Science & Information Management, Soochow University, Taipei 100, Taiwan)

Abstract

The analytic hierarchy process (AHP) is one of the most popular multi-criteria decision-making (MCDM) methods, and so is its extension fuzzy analytic hierarchy process (FAHP). However, the FAHP, unlike the AHP, easily handles the trusted weights by the consistency index (CI) or consistency ratio (CR). We need to first derive the consistent fuzzy pairwise comparison matrix (FPCM) by the transitivity axiom and then drive fuzzy weights. We also need a flexible mechanism for users to control the spread of fuzzy weights under tolerable consistency. In this paper, we propose a novel model based on mathematical programming to derive rational fuzzy weights of the FAHP and provide a parameter for decision-makers to control the spread of fuzzy weights. Three examples are used to demonstrate the proposed method and compared with others to validate and justify the proposed method.

Suggested Citation

  • Chin-Yi Chen & Jih-Jeng Huang, 2022. "Deriving Fuzzy Weights from the Consistent Fuzzy Analytic Hierarchy Process," Mathematics, MDPI, vol. 10(19), pages 1-12, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3499-:d:924676
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    References listed on IDEAS

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    7. Wang, Zhou-Jing, 2015. "A note on “A goal programming model for incomplete interval multiplicative preference relations and its application in group decision-making”," European Journal of Operational Research, Elsevier, vol. 247(3), pages 867-871.
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