A fuzzy semi-infinite optimization problem

被引:0
作者
Abd El-Monem A Megahed
机构
[1] Suez Canal University,Department of Basic Science, Faculty of Computers and Informatics
[2] Majmaah University,Department of Mathematics, College Of Science
来源
Journal of Inequalities and Applications | / 2014卷
关键词
fuzzy; semi-infinite; optimization; necessary conditions;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we present a fuzzy semi-infinite optimization problem. Moreover, we will deduce the Fritz-John and Kuhn-Tucker necessary conditions of this problem. Finally, a numerical example is given to illustrate the results.
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  • [1] Zimmermann H-J(1976)Description and optimization of fuzzy systems Int. J. Gen. Syst 2 209-215
  • [2] Zimmermann H-J(1983)Fuzzy mathematical programming Comput. Oper. Res 10 291-298
  • [3] Zimmermann H-J(1978)Fuzzy programming and linear programming with several objective functions Fuzzy Sets Syst 1 45-55
  • [4] Jameed AF(2012)Solving nonlinear programming problem in fuzzy environment Int. J. Contemp. Math. Sci 7 159-170
  • [5] Sadeghi A(2007)Fuzzy mathematical programming: theory, applications and extension J. Uncertain Syst 1 124-136
  • [6] Luhandjula MK(1993)Semi-infinite programming: theory methods, and applications SIAM Rev 35 380-429
  • [7] Hettich R(1998)Generalized semi-infinite optimization: a first order optimality condition and examples Math. Program 83 145-158
  • [8] Kortank KO(1999)Generalized semi-infinite optimization: on some foundation Vyčisl. Tehnol 4 41-61
  • [9] Jongen HT(2002)On generalized semi-infinite optimization and bi-level optimization Eur. J. Oper. Res 142 444-462
  • [10] Ruckmann J-J(2008)Generalized semi-infinite programming: on generic local minimizers J. Glob. Optim 42 413-421