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Symmetry 2017, 9(11), 273; doi:10.3390/sym9110273

A Hybrid Fuzzy DEA/AHP Methodology for Ranking Units in a Fuzzy Environment

1
Department of International Business, Kao Yuan University, Kaohsiung 82151, Taiwan
2
Department of Mechanical and Automation Engineering, I-Shou University, Kaohsiung 84001, Taiwan
3
Department of Applied Mathematics, National Chiayi University, Chiayi 60004, Taiwan
*
Author to whom correspondence should be addressed.
Received: 2 October 2017 / Revised: 2 November 2017 / Accepted: 6 November 2017 / Published: 14 November 2017
(This article belongs to the Special Issue Fuzzy Sets Theory and Its Applications)
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Abstract

In this paper, a novel approach combining fuzzy data envelopment analysis (DEA) and the analytical hierarchical process (AHP) is proposed to rank units with multiple fuzzy criteria. The hybrid fuzzy DEA/AHP approach derives the AHP pairwise comparisons by fuzzy DEA and utilizes AHP to fully rank units. It shows that the proposed approach generates a logical ranking of units that has perfect compatibility with fuzzy DEA ranking and there is no any form of subjective analysis engaged within the methodology. A study on the facility layout design in manufacturing systems is provided to illustrate the superiority of the proposed approach and show the compatibility between the proposed approach and fuzzy DEA ranking. View Full-Text
Keywords: data envelopment analysis (DEA); fuzzy optimization; analytical hierarchical process (AHP); ranking data envelopment analysis (DEA); fuzzy optimization; analytical hierarchical process (AHP); ranking
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Hu, C.-K.; Liu, F.-B.; Hu, C.-F. A Hybrid Fuzzy DEA/AHP Methodology for Ranking Units in a Fuzzy Environment. Symmetry 2017, 9, 273.

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