Study on multi-objective nonlinear programming in optimization of the rough interval constraints

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...

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Veröffentlicht in:International journal of industrial engineering & production research Jg. 29; H. 4; S. 407 - 413
1. Verfasser: Hamiden Abdelwahed Khalifa
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Iran University of Science & Technology 01.12.2018
Schlagworte:
multi- objective nonlinear programming
optimal rough interval solution
parametric studyک
rough efficient solution
rough intervals
weighting problem
ISSN:2008-4889, 2345-363X
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Zusammenfassung: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.
ISSN:2008-4889
2345-363X
DOI:10.22068/ijiepr.29.4.407