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Extended Fuzzy Analytic Hierarchy Process (E-FAHP): A General Approach

Author

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  • Javier Reig-Mullor

    (Department Economics and Finance Studies, Universitas Miguel Hernandez, Avd. Universidad s/n, 03202 Elche (Alicante), Spain)

  • David Pla-Santamaria

    (Department of Economy and Social Science, Universitat Politècnica de València Alcoy Campus, Plaza Ferrándiz y Carbonell, s/n, 03801 Alcoy (Alicante), Spain)

  • Ana Garcia-Bernabeu

    (Department of Economy and Social Science, Universitat Politècnica de València Alcoy Campus, Plaza Ferrándiz y Carbonell, s/n, 03801 Alcoy (Alicante), Spain)

Abstract

Fuzzy analytic hierarchy process (FAHP) methodologies have witnessed a growing development from the late 1980s until now, and countless FAHP based applications have been published in many fields including economics, finance, environment or engineering. In this context, the FAHP methodologies have been generally restricted to fuzzy numbers with linear type of membership functions (triangular numbers—TN—and trapezoidal numbers—TrN). This paper proposes an extended FAHP model (E-FAHP) where pairwise fuzzy comparison matrices are represented by a special type of fuzzy numbers referred to as (m,n)-trapezoidal numbers (TrN (m,n)) with nonlinear membership functions. It is then demonstrated that there are a significant number of FAHP approaches that can be reduced to the proposed E-FAHP structure. A comparative analysis of E-FAHP and Mikhailov’s model is illustrated with a case study showing that E-FAHP includes linear and nonlinear fuzzy numbers.

Suggested Citation

  • Javier Reig-Mullor & David Pla-Santamaria & Ana Garcia-Bernabeu, 2020. "Extended Fuzzy Analytic Hierarchy Process (E-FAHP): A General Approach," Mathematics, MDPI, vol. 8(11), pages 1-14, November.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:2014-:d:443730
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    References listed on IDEAS

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    1. 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.
    2. Mandic, Ksenija & Delibasic, Boris & Knezevic, Snezana & Benkovic, Sladjana, 2014. "Analysis of the financial parameters of Serbian banks through the application of the fuzzy AHP and TOPSIS methods," Economic Modelling, Elsevier, vol. 43(C), pages 30-37.
    3. L Mikhailov, 2000. "A fuzzy programming method for deriving priorities in the analytic hierarchy process," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(3), pages 341-349, March.
    4. Mangla, Sachin Kumar & Kumar, Pradeep & Barua, Mukesh Kumar, 2015. "Risk analysis in green supply chain using fuzzy AHP approach: A case study," Resources, Conservation & Recycling, Elsevier, vol. 104(PB), pages 375-390.
    5. Chan, Hing Kai & Wang, Xiaojun & Raffoni, Anna, 2014. "An integrated approach for green design: Life-cycle, fuzzy AHP and environmental management accounting," The British Accounting Review, Elsevier, vol. 46(4), pages 344-360.
    6. S. S. Appadoo, 2014. "Possibilistic Fuzzy Net Present Value Model and Application," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-11, August.
    7. Medaglia, Andres L. & Fang, Shu-Cherng & Nuttle, Henry L. W. & Wilson, James R., 2002. "An efficient and flexible mechanism for constructing membership functions," European Journal of Operational Research, Elsevier, vol. 139(1), pages 84-95, May.
    8. 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.
    9. Sachin K. Patil & Ravi Kant, 2014. "Ranking the barriers of knowledge management adoption in supply chain using fuzzy AHP method," International Journal of Business Innovation and Research, Inderscience Enterprises Ltd, vol. 8(1), pages 52-75.
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