The differentiability for fuzzy n-cell mappings and the KKT optimality conditions for a class of fuzzy constrained minimization problem

摘要

In this paper, the concept of generalized difference for fuzzy n-cell numbers is presented, and we use the generalized difference to introduce and study the differentiability for fuzzy n-cell mappings. Next, the convexity for fuzzy n-cell mappings is studied, which is based on the concept of the partial ordering of fuzzy n-cell numbers proposed in this study. Finally, using the differentiability and the convexity for fuzzy n-cell mappings, we obtain the KKT optimality conditions for a class of fuzzy constrained minimization problem.