Evaluating Cost Efficiency in Fuzzy Environment by Using Expected Value
محورهای موضوعی : Business StrategyAli Payan 1 , Mohsen Hekmatnia 2
1 - Department of Mathematics, Zahedan Branch,
Islamic Azad University, Zahedan, Iran
2 - Department of Mathematics, Zahedan Branch,Islamic Azad University, Zahedan, Iran
کلید واژه: Data Envelopment Analysis (DEA), Cost efficiency, Expected value, fuzzy data,
چکیده مقاله :
Today, one of the most fundamental issues within the field of industrial and nonindustrial activities is evaluate the costs performance of the units which are associated with industrial and nonindustrial activities. Data envelopment analysis (DEA) is a nonparametric method for evaluating performance. Fuzzy sets theory is a powerful tool for mentioning ambiguous situations. Traditional DEA models cannot work with fuzzy data therefor there is a need for a method which can evaluate this type of activities. Yet, in fuzzy data envelopment analysis, there isn’t a powerful method which can evaluate cost efficiency in fuzzy environment. In this paper, a new methods for obtaining cost efficiency measurement with data set of fuzzy numbers in various conditions (variable return to scale and constant return to scale) is suggested. These consist of situations where prices are fuzzy numbers and unknown exactly at each decision making unit (DMU). All offered methods are applied in an assessment project and results are mentioned.
Ariff, M. & Can, L. (2008). Cost and Profit Efficiency of Chinese Banks,
China EconomicReview., vol. 19, pp. 260 –273.
Banker, R. D., Charenes, A. & Cooper, W.W. (1984). Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis, Management Science., vol. 30, pp. 1078–1092.
Bellman, R. E., & Zadeh, L. A. (1970). Decision-Making in a Fuzzy
Environment, Management Science, vol. 17, pp. 141-164.
Bede, B. (2013). Mathematics of Fuzzy Sets and Fuzzy Logic. Berlin: Springer-Verlag.
Charnes, A., Cooper, W. W. & Rhodes, E. (1978). Measuring the Efficiency of Decision Making Units, EuropeanJournalof operational Research, vol. 2, pp. 429–440.
Debreu, G. (1951). The Coefficient of Resource Utilisation,
Econometrica.,vol. 19, pp. 273-267.
Fang, L. & Li, H. (2013). Duality and Efficiency Computations in the cost Efficiency Model with Price Uncertainty, Computers & Operations Research., vol. 40, pp. 594–602.
Färe, R. & Gross Kopf, S. (1985). Measurement of Efficiency of
Production. Boston: Kluwer-Nijhoff Publishing Co., Inc.
Farrell, M. J. (1957). The Measurement of Productive Efficiency. Journal of the Royal Statistical Society. Series A., vol. 120, pp. 253-281.
Jahanshahloo, G. R. & Hosseinzadeh Lotfi, F. (2008). Cost Efficiency Measurement with Certain Price on Fuzzy Data and Application in Insurance Organization, Applied Mathematical Sciences., vol. 2, pp.
1-18.
Liu, B. (2004). Uncertainty Theory. Berlin: Springer-Verlag.
Maleki, H. R., Tata, M. & Mashinchi, M. (2000). Linear Programing with Fuzzy Variables. FuzzySets Sys., vol. 109, pp. 21-33.
Negoita, C. V. (1970). Fuzziness in Management. Miami: OPSA/TIMS. Zadeh, L. A. ( 1978). Fuzzy Sets as a Basis for a Theory of Possibility.
FuzzySets and Systems. vol. 1, pp. 13-28.