International Journal of Mathematics Trends and Technology
Volume 37 | Number 3 | Year 2016 | Article Id. IJMTT-V37P530 | DOI : https://doi.org/10.14445/22315373/IJMTT-V37P530
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
[1] Z. Pawlak, Rough sets, International Journal of Computer and Information Sciences, 11, 341-356, 1982.
[2] R. T. Rockafellar, Convex Analysis, Princeton University Press, 1970.
[3] J. Stoer and C. Witzgall, Convexity and Optimization in Finite Dimensions I, Springer-Verlag, 1970.
[4] Holmes, R. B., A Course on Optimization and Best Approximation, Springer-Verlag, Berlin and New York, 1972.
[5] Bazaraa, M. S., and Shetty, C. M., Foundations of Optimization, Springer-Verlag, Berlin and New York, 1976.
[6] Ekeland, I., and Temam, R., Convex Analysis and Variational Problems, North Holland Publisher, Amsterdam, 1976.
[7] Ioffe, A. D., and Tihomirov, Y. M., Theory of External Problems, North Holland Publisher, Amsterdam, 1979.
[8] Barbu, V., and Precupanu, T., Convexity and Optimization in Banach Spaces, Sijthoff and Noordhoff, Alphen aan de Rijn, 1978.
[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.
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