Energy management in crop production using a novel fuzzy data envelopment analysis model

¹ Department of Mathematics, College of Science, Arak Branch, Islamic Azad University, Arak, Iran
² Department of Agricultural Engineering, Faculty of Agriculture, Yasouj University, Yasouj, Iran

^a Corresponding author: khoshroo@yu.ac.ir

Received: 28 November 2016
Accepted: 30 October 2017

Abstract

Data envelopment analysis is a relatively “data oriented” approach to measure the efficiency of a set of decision making units which transform multiple inputs into multiple outputs. However, some production processes may generate undesirable outputs like smoke pollution or waste. On the other hand, in many situations, such as a manufacturing system, a production process or a service system, inputs and outputs can be considered as a fuzzy variable. Thus, this paper has presented a new non-radial DEA model based on a modification of Enhanced Russell Model (ERM model) in the presence of an undesirable output in a fuzzy environment. Hereafter, a method for solving the proposed fuzzy DEA model based on the concept of alpha cut and possibility approach is presented. A useful stochastic closeness coefficient is also proposed to present a complete ranking. The proposed methodology is applied to evaluate the efficiencies of barley production farms in 22 provinces in Iran.