SBM extended model with nonlinear value data in data envelopment analysis with axiomatic approach

Subject Areas : Statistics

M. Vaez-Ghasemi، ¹ (Department of Mathematics, Rasht Branch, Islamic Azad University, Gilan, Iran.)
Z. Moghaddas ² (Department of mathematics, islamic azad university, QIAU, Qazvin, Iran)

Received: 2018-07-07 Accepted : 2018-10-17 Published : 2019-04-01

Keywords: کارایی غیرشعاعی, اصول موضوعه, تحلیل پوششی داده‌ها, داده‌ها با ارزش غیرخطی,

Abstract :

One of the important goals of banks as important economic enterprises of any country is to increase economic efficiency. One of the important goals of banks as important economic enterprises of any country is to increase economic efficiency. The classical approach to data envelopment analysis models takes into account the linear valuation function for all indicators. But linear valuation in many examples of the world around us does not represent the non-linear nature of the indexes. Therefore, in this paper, we have introduced the principles of the model based on slack variables, some of which have nonlinear values. In a practical example of a bank, we reviewed the efficiency of ten branches of one of the country's banks in 1395 with a new approach. One of the important goals of banks as important economic enterprises of any country is to increase economic efficiency. One of the important goals of banks as important economic enterprises of any country is to increase economic efficiency.

References:

[1]     Farrell, M.J. (1957) The Measurement of Productive Efficiency. Journal of Royal Statistical Society, 120, 253-290.

[2]     Charnes, A., W.W., Cooper, E., Rhodes,Measuring the efficiency of decision making units. European Journal of Operational Research,  2, 429-444, 1978.

[3]     Banker, R. D., A., Charnes, W.W., Cooper, Some models for estimating technical and scale inefficiencies in data envelopment analysis. Management Science, 30,1078–1092, 1984.

[4]     Tone, Kaoru and Tsutsui, Miki. (2009) " Network DEA: A slacks-based measure approach " European Journal of Operational Research 197. 243–252.

[5]     Tone, Kaoru and Tsutsui, Miki. (2010). " Dynamic DEA: Aslacks-based measure approach". Omega.145-156.

[6]     Tone, Kaoru and Tsutsui, Miki.(2014)." Dynamic DEA with network structure: A slacksbased measure approach ".Omega 42. 124–131.

[7]     Hosseinzadeh Lotfi, M. Rostamy Malkhlifeh, Z. Moghaddas. European Journal of Operational Research · September 2010 DOI: 10.1016/j.ejor.2010.01.002.

[8]     Zadeh, Lotfi, (1965). Fuzzy sets. Information Control 8, 338–353.

[9]     Sugeno, M. “Industrial Applications of Fuzzy Control,” Elsevier Science, Amsterdam, 1985.

[10] Podinovsky V.V. Production trade-offs and weight restrictions in dataenvelopment analysis. Journal of Operational Reaserch Society, 55, 1311-1322, 2004.

[11] Podinovsky V.V. Computation of efficient targets in DEA models withproduction trade-offs and weight restrictions. European Journal of OperationalReaserch, 181,  586-591, 2005.