Title: Development of optimistic and pessimistic models using FDEA to measure performance efficiencies of DMUs

Authors: Alka Arya; Shiv Prasad Yadav

Addresses: Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India ' Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India

Abstract: In this paper, we develop optimistic and pessimistic models using fuzzy data envelopment analysis (FDEA). We find the fuzzy optimistic and fuzzy pessimistic efficiencies by using the α-cut method. By using super-efficiency technique, we develop models to obtain the complete ranking of the DMUs when fuzzy optimistic and pessimistic models are considered separately. Further, to rank the DMUs when both fuzzy optimistic and pessimistic models are taken simultaneously as hybrid approach. To address the overall performance using fuzzy optimistic and pessimistic situations together in FDEA, we propose a hybrid FDEA using α-cut efficiencies decision model. Finally, these developed optimistic and pessimistic FDEA models and ranking models are illustrated with two examples. The proposed model is applied to a real world problem of health sector. We determine the performance efficiencies of hospitals in Meerut District, Uttar Pradesh state, India for the calendar year 2013-2014 using the proposed model. Number of health superintendents and number of health workers are taken as input variables, and number of inpatients and number of outpatients as output variables.

Keywords: hospitals; performance efficiency; optimistic and pessimistic; super-efficiency; fuzzy data envelopment analysis; FDEA.

DOI: 10.1504/IJPMB.2019.100964

International Journal of Process Management and Benchmarking, 2019 Vol.9 No.3, pp.300 - 322

Received: 17 Jan 2017
Accepted: 23 Mar 2017
Published online: 22 Jul 2019 *

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