Volume 16, Issue 3 (10-2019)                   jor 2019, 16(3): 55-68 | Back to browse issues page

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Darvishi salokolaei D. Some Duality Results in Grey Linear Programming Problem . jor 2019; 16 (3) :55-68
URL: http://jamlu.liau.ac.ir/article-1-1599-en.html
Some Duality Results in Grey Linear Programming Problem
D. Darvishi salokolaei *
Department of Mathematics, Payame Noor University, Tehran, Iran
Abstract:   (3159 Views)
Different approaches are presented to address the uncertainty of data and appropriate description of uncertain parameters of linear programming models. One of them is to use the grey systems theory in modeling such problem. Especially, recently, grey linear programming has attracted many researchers. In this paper, a kind of linear programming with grey coefficients is discussed. Introducing the dual grey linear programming problem, using the practical concept of whitening of grey numbers, some relations between primal and dual problems are presented. Also, the parametric model and dual grey linear programming were compared. The relationships between the primal and dual linear programming solutions in the grey environment are investigated and some of the results are reported with an example.
Keywords: Interval grey number, Grey linear programming, Dual grey linear programming, Whitenized number, Uncertainty
Full-Text [PDF 837 kb]   (1630 Downloads)    
Type of Study: Research | Subject: Special
Received: 2017/11/27 | Accepted: 2019/04/20 | Published: 2019/10/2
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