Positive and normative use of Fuzzy DEA-BCC models: A critical view on NATO enlargement

Date

2013

Advisors

Journal Title

Journal ISSN

ISSN

Volume Title

Publisher

Wiley

Type

Article

Peer reviewed

Yes

Abstract

Data envelopment analysis (DEA) is a widely used mathematical programming approach for comparing the input and output of a set of comparable decision-making units (DMUs) by evaluating their relative efficiency. The traditional DEA methods require accurate measurement of both the inputs and outputs. However, the real evaluation of the DMUs is often characterized by imprecision and uncertainty in data definitions and measurements. The development of fuzzy DEA (FDEA) with imprecise and ambiguous data has extended the scope of application for efficiency measurement. The purpose of this paper is to develop a fuzzy DEA framework with a BCC model for measuring crisp and interval efficiencies in fuzzy environments. We use an α-level approach to convert the fuzzy Banker, Charnes, and Cooper (BCC) (variable returns to scale) model into an interval programming model. Instead of comparing the equality (or inequality) of the two intervals, we define a variable in the interval to satisfy our constraints and maximize the efficiency value. We present a numerical example to show the similarities and differences between our solution and the solutions obtained from four fuzzy DEA methods in the literature. In addition, a case study for NATO enlargement is presented to illustrate the applicability of the proposed method.

Description

Keywords

Data envelopment analysis, Imprecise inputs and outputs, Fuzzy mathematical programming, BCC model, NATO enlargement

Citation

Hatami‐Marbini, A. et al. (2013) Positive and normative use of Fuzzy DEA-BCC models: A critical view on NATO enlargement. International Transactions in Operational Research, 20 (3), pp 411-433

Rights

Research Institute

Centre for Enterprise and Innovation (CEI)