Volume 29, Issue 4 (IJIEPR 2018)                   IJIEPR 2018, 29(4): 407-413 | Back to browse issues page

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Abdelwahed Khalifa H. Study on multi-objective nonlinear programming in optimization of the rough interval constraints. IJIEPR 2018; 29 (4) :407-413
URL: http://ijiepr.iust.ac.ir/article-1-851-en.html
Study on multi-objective nonlinear programming in optimization of the rough interval constraints
Hamiden Abdelwahed Khalifa
ISSR- Cairo Unoversity , hamiden_2008@yahoo.com
Abstract:   (4055 Views)
This paper deals with multi- objective nonlinear programming problem having rough intervals in the constraints. The problem is approached by taking maximum value range and minimum value range inequalities as constraints conditions, reduces it into two classical multi-objective nonlinear programming problems, called lower and upper approximation problems.  All of the lower and upper approximation problems may be solved using the weighting method, where an optimal rough interval solution is obtained. The stability set of the first kind corresponding to the optimal rough interval solution is determined. An illustrative numerical example is given to clarify the obtained results.
Keywords: Multi- objective nonlinear programming, Rough intervals, Rough efficient solution, weighting problem, Optimal rough interval solution, Parametric studyŚ©
Full-Text [PDF 560 kb]   (1950 Downloads)    
Type of Study: Research | Subject: Operations Research
Received: 2018/08/29 | Accepted: 2018/12/9 | Published: 2018/12/19
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