A New Approach for Solving Grey Assignment Problems
Publish Year: 1396
Type: Journal paper
Language: English
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Document National Code:
JR_COAM-2-1_002
Index date: 19 February 2023
A New Approach for Solving Grey Assignment Problems abstract
Linear assignment problem is one of the most important practical models in the literature of linear programming problems. Input data in the cost matrix of the linear assignment problem are not always crisp and sometimes in the practical situations is formulated by the grey systems theory approach. In this way, some researchers have used a whitening technique to solve the grey assignment problem. Since the whitening technique only provides a crisp equivalent model and does not reflect the evolutionary characteristics of a grey set, it cannot keep the uncertainty properties in an interval involving the optimal solution. Based on these shortcomings, in this paper a new direct approach is introduced to solve linear assignment problem in grey environments. For preparing the mentioned method, some theoretical results are given to support the methodology. Finally, a numerical example will be solved to test the validity of the proposed method. Based on the suggested methodology, we emphasize that the same approach can be used whenever any linear programming model is formulated in grey environments.
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A New Approach for Solving Grey Assignment Problems authors
Hadi Nasseri
Department of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Davood Darvishi Salokolaei
Department of Mathematics, Payame Noor University, Tehran, Iran
Allahbakhsh Yazdani
Department of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
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