Title: Performance measurement of police traffic centres using fuzzy DEA-based Malmquist productivity index

Authors: Kaveh Khalili-Damghani; Farhad Hosseinzadeh Lotfi

Addresses: Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Postal code 1651893181, Tehran, Iran. ' Department of Mathematics, Science and Research Branch, Islamic Azad University, Postal code 14778, Tehran, Iran

Abstract: Decision-making in real life problem, including performance measurement methodologies, usually involves large amount of uncertainty. In this paper, a formulation of performance measurement has been proposed using fuzzy input-oriented DEA-based Malmquist productivity index. The proposed procedure has been applied in measuring the productivity of a real case of Iranian police traffic centres. As the inputs and outputs of the case are assumed to be mixed with a considerable amount of uncertainty, linguistic terms parameterised by fuzzy sets have been supplied to represent the vagueness. The proposed methodology is straightforward and results are promising.

Keywords: Sten Malmquist; productivity index; Malmquist DEA; data envelopment analysis; performance measurement; uncertainty; fuzzy sets; traffic police; police centres; Iran; linguistic terms; parameterisation; vagueness; multicriteria decision making; MCDM.

DOI: 10.1504/IJMCDM.2012.045085

International Journal of Multicriteria Decision Making, 2012 Vol.2 No.1, pp.94 - 110

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 24 Jan 2012 *

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