Abstract
Fuzzy Data Envelopment Analysis (FDEA) is a tool for comparing the performance of a set of activities or organizations under uncertainty environment. Imprecise data in FDEA models is represented by fuzzy sets and FDEA models take the form of fuzzy linear programming models. Previous research focused on solving the FDEA model of the CCR (named after Charnes, Cooper, and Rhodes) type (FCCR). In this paper, the FDEA model of the BCC (named after Banker, Charnes, and Cooper) type (FBCC) is studied. Possibility and Credibility approaches are provided and compared with an α-level based approach for solving the FDEA models. Using the possibility approach, the relationship between the primal and dual models of FBCC models is revealed and fuzzy efficiency can be constructed. Using the credibility approach, an efficiency value for each DMU (Decision Making Unit) is obtained as a representative of its possible range. A numerical example is given to illustrate the proposed approaches and results are compared with those obtained with the α-level based approach.
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Lertworasirikul, S., Fang, SC., Nuttle, H.L.W. et al. Fuzzy BCC Model for Data Envelopment Analysis. Fuzzy Optimization and Decision Making 2, 337–358 (2003). https://doi.org/10.1023/B:FODM.0000003953.39947.b4
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DOI: https://doi.org/10.1023/B:FODM.0000003953.39947.b4