Inverse Data Envelopment Analysis to Estimate Inputs with Triangular Fuzzy Numbers
Subject Areas : International Journal of Data Envelopment AnalysisMohammad Taghi Yahyapour-Shikhzahedi 1 , sohrab kordrostami 2 , S Edalatpanah 3 , Alireza Amirteimoori 4
1 - گروه ریاضی، واحد لاهیجان،دانشگاه آزاد اسلامی، لاهیجان، ایران.
2 - Department of mathematics, Islamic azad University of Lahijan, Lahjan, Iran
3 - Islamic Azad University, Iran
4 - Department of Applied Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran
Keywords: Inverse data envelopment analysis, improving cost efficiency, increasing outputs, membership function, triangular fuzzy numbers,
Abstract :
In the real world, all available data are not definitive and are considered based on quality. Estimating the values of the inputs when we change the values of the outputs as desired is one of the important applications of inverse data envelopment analysis. If we want to estimate the level of inputs (outputs) among a group of decision-making units (DMUs), when some or all of its outputs (inputs) are changed so that cost efficiency is maintained or improved, inverse data envelopment analysis is used. In this article, cost efficiency is investigated by increasing desired outputs along with triangular fuzzy data. The problem of inverse data envelopment analysis with fuzzy data is presented for the cost efficiency of the DMU under evaluation. Also, in this connection, the results of the proposed model will be examined in a numerical example.
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