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Simulated Hesitant Fuzzy Linguistic Term Sets-Based Approach for Modeling Uncertainty in AHP Method

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  • Fatih Tüysüz

    (Department of Industrial Engineering, İstanbul University, 34320, Avcılar, İstanbul, Turkey)

Abstract

One of the important points in decision-making is representing the uncertainty. There have been developed approaches which are based on either fuzzy sets theory or probability theory to model the inherent uncertainty and imprecision in the pairwise comparison process of analytic hierarchy process (AHP). This study proposes a hybrid approach that integrates fuzzy sets theory and simulation technique into AHP method to better represent the uncertainty in decision-making process. The aim of the proposed approach is to benefit the advantages of both probability theory and fuzzy sets theory which may provide a new paradigm for modeling uncertainty in multi-criteria decision-making (MCDM). An illustrative example is also presented to show the applicability of the proposed approach.

Suggested Citation

  • Fatih Tüysüz, 2018. "Simulated Hesitant Fuzzy Linguistic Term Sets-Based Approach for Modeling Uncertainty in AHP Method," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(03), pages 801-817, May.
    • Handle: RePEc:wsi:ijitdm:v:17:y:2018:i:03:n:s0219622018500074
    DOI: 10.1142/S0219622018500074
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    References listed on IDEAS

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    1. Levary, Reuven R. & Wan, Ke, 1999. "An analytic hierarchy process based simulation model for entry mode decision regarding foreign direct investment," Omega, Elsevier, vol. 27(6), pages 661-677, December.
    2. Rosenbloom, E. S., 1997. "A probabilistic interpretation of the final rankings in AHP," European Journal of Operational Research, Elsevier, vol. 96(2), pages 371-378, January.
    3. Durbach, Ian & Lahdelma, Risto & Salminen, Pekka, 2014. "The analytic hierarchy process with stochastic judgements," European Journal of Operational Research, Elsevier, vol. 238(2), pages 552-559.
    4. Yu, Jing-Rung & Cheng, Sheu-Ji, 2007. "An integrated approach for deriving priorities in analytic network process," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1427-1432, August.
    5. Alfredo Altuzarra & José María Moreno-Jiménez & Manuel Salvador, 2010. "Consensus Building in AHP-Group Decision Making: A Bayesian Approach," Operations Research, INFORMS, vol. 58(6), pages 1755-1773, December.
    6. A. Cagri Tolga & Fatih Tuysuz & Cengiz Kahraman, 2013. "A Fuzzy Multi-Criteria Decision Analysis Approach For Retail Location Selection," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 12(04), pages 729-755.
    7. Zhu, Bin & Xu, Zeshui, 2014. "Analytic hierarchy process-hesitant group decision making," European Journal of Operational Research, Elsevier, vol. 239(3), pages 794-801.
    8. Paulson, Dan & Zahir, Sajjad, 1995. "Consequences of uncertainty in the analytic hierarchy process: A simulation approach," European Journal of Operational Research, Elsevier, vol. 87(1), pages 45-56, November.
    9. 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.
    10. Ali Emrouznejad & Marianna Marra, 2017. "The state of the art development of AHP (1979–2017): a literature review with a social network analysis," International Journal of Production Research, Taylor & Francis Journals, vol. 55(22), pages 6653-6675, November.
    11. Van den Honert, R. C., 1998. "Stochastic group preference modelling in the multiplicative AHP: A model of group consensus," European Journal of Operational Research, Elsevier, vol. 110(1), pages 99-111, October.
    12. Hauser, David & Tadikamalla, Pandu, 1996. "The Analytic Hierarchy Process in an uncertain environment: A simulation approach," European Journal of Operational Research, Elsevier, vol. 91(1), pages 27-37, May.
    13. Zhu, Bin & Xu, Zeshui & Zhang, Ren & Hong, Mei, 2016. "Hesitant analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 250(2), pages 602-614.
    14. 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.
    15. Saaty, Thomas L. & Vargas, Luis G., 1987. "Uncertainty and rank order in the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 32(1), pages 107-117, October.
    16. 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.
    17. Huang, Chi-Cheng & Chu, Pin-Yu & Chiang, Yu-Hsiu, 2008. "A fuzzy AHP application in government-sponsored R&D project selection," Omega, Elsevier, vol. 36(6), pages 1038-1052, December.
    18. Levary, Reuven R. & Wan, Ke, 1998. "A simulation approach for handling uncertainty in the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 106(1), pages 116-122, April.
    19. Olson, David L. & Wu, Desheng, 2006. "Simulation of fuzzy multiattribute models for grey relationships," European Journal of Operational Research, Elsevier, vol. 175(1), pages 111-120, November.
    20. Ahn, Byeong Seok, 2000. "The analytic hierarchy process in an uncertain environment: A simulation approach by Hauser and Tadikamalla (1996)," European Journal of Operational Research, Elsevier, vol. 124(1), pages 217-218, July.
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