Title: Scale efficiency with fuzzy data

Authors: Shivi Agarwal

Addresses: Department of Mathematics, BITS, Pilani, Rajasthan-333031, India

Abstract: This paper measures the scale efficiency of decision-making units (DMUs) with fuzzy input and output data using fuzzy data envelopment analysis (FDEA) model. FDEA is used to measure the relative efficiencies of a set of DMUs under fuzzy environment in which the input and output data can be represented as linguistic variable characterised by fuzzy variables. The FDEA is solved using the concept of chance-constrained programming and credibility approach. In a special case, when fuzzy inputs and fuzzy outputs are independent trapezoidal or triangular fuzzy variables, the model can be transformed into crisp linear programming. Finally, numerical illustration is presented to illustrate the FDEA model to measure the scale efficiency of DMUs with fuzzy data as well as the effectiveness of the presented method.

Keywords: data envelopment analysis; fuzzy DEA; FDEA; scale efficiency; linear programming; credibility theory; chance-constrained programming; CCP; fuzzy logic; fuzzy data; decision making units; DMUs; linguistic variables; fuzzy variables.

DOI: 10.1504/IJBSR.2017.080847

International Journal of Business and Systems Research, 2017 Vol.11 No.1/2, pp.152 - 162

Received: 13 May 2015
Accepted: 13 Dec 2015

Published online: 09 Nov 2016 *

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