In this paper,the differentiability of interval valued function is discussed by using the idea of total differential of real valued function,the concept of D-differentiability of interval valued function is establishe...In this paper,the differentiability of interval valued function is discussed by using the idea of total differential of real valued function,the concept of D-differentiability of interval valued function is established and some basic properties are given.By discussing the optimality condition of unconstrained interval programming,the necessary conditions for obtaining the optimal solution of a class of constrained interval valued programming with real valued function constraints are given.Meanwhile,the sufficient conditions for obtaining the optimal solution are given for the convex interval value programming problem with real value function constraints.展开更多
基金Supported by the National Natural Science Fund of China(Grant No.11461052)the Natural Science Foundation of Inner Mongolia(Grant No.2018MS01010)。
文摘In this paper,the differentiability of interval valued function is discussed by using the idea of total differential of real valued function,the concept of D-differentiability of interval valued function is established and some basic properties are given.By discussing the optimality condition of unconstrained interval programming,the necessary conditions for obtaining the optimal solution of a class of constrained interval valued programming with real valued function constraints are given.Meanwhile,the sufficient conditions for obtaining the optimal solution are given for the convex interval value programming problem with real value function constraints.
