A New Fuzzy CCR Data Envelopment Analysis Model and Its Application to Manufacturing Enterprises

Abstract

Wang et al. (Expert Syst Appl 36:5205–5211, 2009, [26]) pointed out that in the literature the solution of a fuzzy CCR data envelopment analysis (DEA) model which is a fuzzy fractional programming problem, is obtained by transforming it into a fuzzy linear programming problem. While, due to the property \( \frac{{\widetilde{A}}}{{\widetilde{A}}} \ne \tilde{1} \), where \( \widetilde{A} \) is a fuzzy number, the fuzzy CCR DEA model cannot be transformed into a fuzzy linear programming problem. To resolve this flaw of the existing methods, Wang et al. proposed two new methods to solve the fuzzy CCR DEA model without transforming it into a fuzzy linear programming problem. In this chapter, flaws in the methods, proposed by Wang et al. as well as flaws in the fuzzy CCR DEA model, proposed by Wang et al., are pointed out. To resolve these flaws, a new fuzzy CCR DEA model as well as a new method to solve fuzzy CCR DEA model are proposed. To illustrate the proposed method, the real life problem, chosen by Wang et al., is solved.