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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/19094
Title: A dual sbm model with fuzzy weights in fuzzy DEA
Authors: Puri J.
Yadav S.P.
Babu B.V.
Nagar A.
Bansal J.C.
Pant M.
Deep K.
Ray K.
Gupta U.
Published in: Proceedings of Advances in Intelligent Systems and Computing
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. © Springer India 2014.
Citation: Proceedings of Advances in Intelligent Systems and Computing, (2014), 305- 312
URI: https://doi.org/10.1007/978-81-322-1602-5_34
http://repository.iitr.ac.in/handle/123456789/19094
Issue Date: 2014
Publisher: Springer Verlag
Keywords: Fuzzy DEA
Fuzzy efficiency
Fuzzy SBM model
Fuzzy weights
Data envelopment analysis
Decision making
Fuzzy rules
Fuzzy sets
Linear programming
Soft computing
Decision making unit
Fuzzy DEA
Fuzzy efficiencies
Fuzzy weight
Linear programming problem
Real-world problem
SBM models
Triangular fuzzy numbers
Problem solving
ISBN: 9790000000000
ISSN: 21945357
Author Scopus IDs: 55363261400
57209022284
Author Affiliations: Puri, J., Department of Mathematics, I.I.T. Roorkee, Roorkee, 247667, India
Yadav, S.P., Department of Mathematics, I.I.T. Roorkee, Roorkee, 247667, India
Corresponding Author: Puri, J.; Department of Mathematics, I.I.T. RoorkeeIndia; email: puri.jolly@gmail.com
Appears in Collections:Conference Publications [MA]

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