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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| Published in: | International journal of industrial engineering & production research Vol. 29; no. 4; pp. 407 - 413 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
Iran University of Science & Technology
01.12.2018
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| Subjects: | |
| ISSN: | 2008-4889, 2345-363X |
| Online Access: | Get full text |
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| Summary: | 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. |
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| ISSN: | 2008-4889 2345-363X |
| DOI: | 10.22068/ijiepr.29.4.407 |