International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 12, Pages 1995-2003
doi:10.1155/IJMMS.2005.1995
Characterization of the stability set for non-differentiable fuzzy
parametric optimization problems
Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, Egypt
Received 3 November 2003
Copyright © 2005 Mohamed Abd El-Hady Kassem. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
This note presents the characterization of
the stability set of the first
kind for multiobjective nonlinear programming (MONLP) problems
with fuzzy parameters either in the constraints or in
the objective functions without any differentiability
assumptions. These fuzzy parameters are characterized
by triangular fuzzy numbers (TFNs). The existing
results concerning the parametric space in convex programs are
reformulated to study for multiobjective nonlinear programs under
the concept of α-Pareto optimality.