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FAHPSort: A Fuzzy Extension of the AHPSort Method

Author

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  • Jana Krejčí

    (Department of Industrial Engineering, University of Trento, Via Sommarive 9, Povo 38123, Italy)

  • Alessio Ishizaka

    (#x2020;Center for Operational Research and Logistics (CORL), Portsmouth Business School, University of Portsmouth, Portsmouth PO1 3DE, United Kingdom)

Abstract

Analytic Hierarchy process (AHP) is a powerful method belonging to the full aggregation family of multi-criteria decision-making methods based on pairwise comparisons of objects. Since the information about the problem is usually not complete in real decision-making problems, it is difficult to express precisely the preferences on pairs of compared objects. This problem has been handled in the literature by introducing fuzziness into AHP. However, neither AHP nor its fuzzy extensions can deal with sorting decision-making problems, which form a significant part of decision-making problems. This paper presents the FAHPSort method — a fuzzy extension of the AHPSort method, which is an adaptation of the AHP method for sorting decision-making problems. The FAHPSort method handles the vagueness in the meaning of linguistic terms expressing the intensity of preference of one object over another one. Key properties of the FAHPSort method are described in the paper, and the method is illustrated in a decision-making problem.

Suggested Citation

  • Jana Krejčí & Alessio Ishizaka, 2018. "FAHPSort: A Fuzzy Extension of the AHPSort Method," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(04), pages 1119-1145, July.
    • Handle: RePEc:wsi:ijitdm:v:17:y:2018:i:04:n:s0219622018400011
    DOI: 10.1142/S0219622018400011
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    1. Cheng, Ching-Hsue, 1997. "Evaluating naval tactical missile systems by fuzzy AHP based on the grade value of membership function," European Journal of Operational Research, Elsevier, vol. 96(2), pages 343-350, January.
    2. Rezaei, Jafar & Ortt, Roland, 2013. "Multi-criteria supplier segmentation using a fuzzy preference relations based AHP," European Journal of Operational Research, Elsevier, vol. 225(1), pages 75-84.
    3. Ho, William & Ma, Xin, 2018. "The state-of-the-art integrations and applications of the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 267(2), pages 399-414.
    4. Herrera-Viedma, E. & Herrera, F. & Chiclana, F. & Luque, M., 2004. "Some issues on consistency of fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 154(1), pages 98-109, April.
    5. Liberatore, Matthew J. & Nydick, Robert L., 2008. "The analytic hierarchy process in medical and health care decision making: A literature review," European Journal of Operational Research, Elsevier, vol. 189(1), pages 194-207, August.
    6. Chang, Da-Yong, 1996. "Applications of the extent analysis method on fuzzy AHP," European Journal of Operational Research, Elsevier, vol. 95(3), pages 649-655, December.
    7. Kou, Gang & Ergu, Daji & Shang, Jennifer, 2014. "Enhancing data consistency in decision matrix: Adapting Hadamard model to mitigate judgment contradiction," European Journal of Operational Research, Elsevier, vol. 236(1), pages 261-271.
    8. Kreng, Victor B. & Wu, Chao-Yi, 2007. "Evaluation of knowledge portal development tools using a fuzzy AHP approach: The case of Taiwanese stone industry," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1795-1810, February.
    9. Buckley, James J. & Feuring, Thomas & Hayashi, Yoichi, 2001. "Fuzzy hierarchical analysis revisited," European Journal of Operational Research, Elsevier, vol. 129(1), pages 48-64, February.
    10. Ho, William, 2008. "Integrated analytic hierarchy process and its applications - A literature review," European Journal of Operational Research, Elsevier, vol. 186(1), pages 211-228, April.
    11. Vaidya, Omkarprasad S. & Kumar, Sushil, 2006. "Analytic hierarchy process: An overview of applications," European Journal of Operational Research, Elsevier, vol. 169(1), pages 1-29, February.
    12. Kou, Gang & Lin, Changsheng, 2014. "A cosine maximization method for the priority vector derivation in AHP," European Journal of Operational Research, Elsevier, vol. 235(1), pages 225-232.
    13. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    14. Somsuk, Nisakorn & Laosirihongthong, Tritos, 2014. "A fuzzy AHP to prioritize enabling factors for strategic management of university business incubators: Resource-based view," Technological Forecasting and Social Change, Elsevier, vol. 85(C), pages 198-210.
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