Solving generalized fuzzy data envelopment analysis model: a parametric approach

作者: Ali Asghar Foroughi , Roohollah Abbasi Shureshjani

DOI: 10.1007/S10100-016-0448-5

关键词:

摘要: Data envelopment analysis (DEA) is a non-parametric technique to assess the performance of set homogeneous decision making units (DMUs) with common crisp inputs and outputs. Regarding problems that are modelled out real world, data cannot constantly be precise sometimes they vague or fluctuating. So in modelling such data, one best approaches using fuzzy numbers. Substituting numbers for DEA, traditional DEA problem transforms into (FDEA) problem. Different methods have been suggested compute efficiency DMUs FDEA models so far but most them limitations as complexity calculation, non-contribution maker process, utilizable specific model group In present paper, overcome mentioned limitations, new approach proposed. this approach, generalized transformed parametric programming, which, parameter selection depends on maker’s ideas. Two numerical examples used illustrate compare it some other approaches.

参考文章(33)
Rolf Färe, Shawna Grosskopf, Rolf Fare, A Nonparametric Cost Approach to Scale Efficiency The Scandinavian Journal of Economics. ,vol. 87, pp. 594- 604 ,(1985) , 10.2307/3439974
Lawrence M. Seiford, Robert M. Thrall, Recent developments in DEA Journal of Econometrics. ,vol. 46, pp. 7- 38 ,(1990) , 10.1016/0304-4076(90)90045-U
S. Saati M., A. Memariani, G. R. Jahanshahloo, Efficiency Analysis and Ranking of DMUs with Fuzzy Data Fuzzy Optimization and Decision Making. ,vol. 1, pp. 255- 267 ,(2002) , 10.1023/A:1019648512614
Konstantinos Triantis, Olivier Girod, A Mathematical Programming Approach for Measuring Technical Efficiency in a Fuzzy Environment Journal of Productivity Analysis. ,vol. 10, pp. 85- 102 ,(1998) , 10.1023/A:1018350516517
Ali Emrouznejad, Madjid Tavana, Adel Hatami-Marbini, The State of the Art in Fuzzy Data Envelopment Analysis Springer. pp. 1- 45 ,(2014) , 10.1007/978-3-642-41372-8_1
Yu-Jie Wang, Hsuan-Shih Lee, The revised method of ranking fuzzy numbers with an area between the centroid and original points Computers & Mathematics With Applications. ,vol. 55, pp. 2033- 2042 ,(2008) , 10.1016/J.CAMWA.2007.07.015
MARCIN DETYNIECKI, RONALD R. YAGER, Ranking fuzzy numbers using ω-weighted valuations International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. ,vol. 8, pp. 573- 591 ,(2000) , 10.1142/S021848850000040X
Jati K. Sengupta, A fuzzy systems approach in data envelopment analysis Computers & Mathematics With Applications. ,vol. 24, pp. 259- 266 ,(1992) , 10.1016/0898-1221(92)90203-T
Shyi-Ming Chen, Kata Sanguansat, Analyzing fuzzy risk based on a new fuzzy ranking method between generalized fuzzy numbers Expert Systems With Applications. ,vol. 38, pp. 2163- 2171 ,(2011) , 10.1016/J.ESWA.2010.08.002