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

Javier Reig-Mullor, David Pla-Santamaria and Ana Garcia-Bernabeu
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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

Mathematics, 2020, vol. 8, issue 11, 1-14

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.

Keywords: AHP; fuzzy AHP; fuzzy numbers; (m,n)-trapezoidal numbers; MCDM (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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