Paper Info
Title
A Dual SBM Model with Fuzzy Weights in Fuzzy DEA.
Abstract
The dual part of a SBM model in data envelopment analysis (DEA) aims to calculate the optimal virtual costs and prices (also known as weights) of inputs and outputs for the concerned decision-making units (DMUs). In conventional dual SBM model, the weights are found as crisp quantities. However, in real-world problems, the weights of inputs and outputs in DEA may have fuzzy essence. In this paper, we propose a dual SBM model with fuzzy weights for input and output data. The proposed model is then reduced to a crisp linear programming problem by using ranking function of a fuzzy number (FN). This model gives the fuzzy efficiencies and the fuzzy weights of inputs and outputs of the concerned DMUs as triangular fuzzy numbers (TFNs). The proposed model is illustrated with a numerical example.
Year
DOI
Venue
2012
10.1007/978-81-322-1602-5_34
PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON SOFT COMPUTING FOR PROBLEM SOLVING (SOCPROS 2012)
Keywords
Field
DocType
Fuzzy DEA,Fuzzy SBM model,Fuzzy efficiency,Fuzzy weights
Mathematical optimization,Ranking,Fuzzy logic,Input/output,Data envelopment analysis,Linear programming,Fuzzy number,Mathematics
Conference
Volume
ISSN
Citations 
236
2194-5357
0
PageRank 
References 
Authors
0.34
7
2
Name
Order
Citations
PageRank
Jolly Puri1393.66
Shiv Prasad Yadav211715.90