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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 37 | Number 3 | Year 2016 | Article Id. IJMTT-V37P530 | DOI : https://doi.org/10.14445/22315373/IJMTT-V37P530

Convexity in the 1st Class of the Rough Mathematical Programming Problems


T.E.M. Atteya, Kamilia El-Bess
Abstract

Convex optimization is considered to be a reliable computational tool in engineering as it is used to solve many engineering problems in an efficient and fast method. The goal of this paper is to discuss, in depth, the convexity in the 1st class of rough mathematical programming and to present some related results.

Keywords
convexity, optimization, rough programming.
References

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[6] Ekeland, I., and Temam, R., Convex Analysis and Variational Problems, North Holland Publisher, Amsterdam, 1976.
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[9] Ponstein, J., "Approaches to the Theory of Optimization," Cambridge University, Press, London and New York, 1980.
[10] E.A. Youness, Characterizing solutions of rough programming problems, European Journal of Operational Research, vol.168, no.3, pp.1019-1029, 2006.
[11] M.S. Osman, E.F. Lashein, E.A. Youness, T.E.M. Atteya, Mathematical programming in rough environment, Optimization, vol.60, no.5, pp.603-611,2011.
[12] Mokhtar S. Bazaraaa, Hanif D. Sherali, C. M. Shetty, Nonlinear Programming: Theory and Algorithms, John Wiley and Sons Inc., 3rd ed.; 2006.

Citation :

T.E.M. Atteya, Kamilia El-Bess, "Convexity in the 1st Class of the Rough Mathematical Programming Problems," International Journal of Mathematics Trends and Technology (IJMTT), vol. 37, no. 3, pp. 224-228, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V37P530

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