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188宝金博页面版: lotfiIMF65 68 2007

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内容提示: International Mathematical Forum, 2, 2007, no. 65, 3199 - 3210Equitable Allocation of Shared Costson Fuzzy EnvironmentF. Hosseinzadeh Lotfi1, G. R. Jahanshahloo, T. AllahviranlooE. Noroozi, A. A. Hosseinzadeh LotfiDept. of Math., Science and Research BranchIslamic Azad University, Tehran, IranAbstractIn many application to wish data envelopment analysis could be appliedthere is often a fixed or common cost , wich is imposed on all decisionmaking units (DMUs).In proposed approach by Cook and kress (1999)ofe...

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International Mathematical Forum, 2, 2007, no. 65, 3199 - 3210Equitable Allocation of Shared Costson Fuzzy EnvironmentF. Hosseinzadeh Lotfi1, G. R. Jahanshahloo, T. AllahviranlooE. Noroozi, A. A. Hosseinzadeh LotfiDept. of Math., Science and Research BranchIslamic Azad University, Tehran, IranAbstractIn many application to wish data envelopment analysis could be appliedthere is often a fixed or common cost , wich is imposed on all decisionmaking units (DMUs).In proposed approach by Cook and kress (1999)ofequitable allocation of shared costs between all DMUsseveral problemsshould be solved which gives rise to commputational difficulties.r. Jahanshahloo et al.presened an approoch in which without solvinglinear programmin problems only using simple formulas the equitableallocation is achieved. In this paper this approach is imposed on decisionmaking units (DMUs) with fuzzy inputs and outputs in the case thatfixed costs are fuzzy.G.Keywords: Fuzzy linear programming problem, Data Envelopment Anal-ysis(DEA), Fuzzy ranking functions1IntroductionThe use of data envelopment analysis (DEA) for estimating comparative effi-ciency has become widespread. DEA first introduced by charnes et al.(CCRmodel) [3] and developed by banker et al.(BBC model)[1] has been widely ap-plied to the efficiency (productivity)measurement of many decisions entities inpublic and private sectors. In recent years many papers and reports in DEAhave indicated the application of this technique in training centers industryetc. One of the most important applications of this technique is allocation of acost to all decision making units (DMUs). Clearly the cost that is imposed onDMU constitues on additional input which may alter the absolate efficiencyrating of the DMU. The objective of mannagement is to allocate those costsin such away that the relative-efficiency is not changed. Hence any allocation1Corresponding author. e-mail: hosseinzadeh lotfi@yahoo.com

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