可拓凸集

EXTENSION CONVEX SET

本文讨论了可拓凸集的若干性质。同时,给出了可拓凸集的分离度和严格分离度的定义,以及凸可拓集的分离度和分离定理,引入了可拓线性内点的概念,得出了线性空间中可拓凸集的分离定理和严格分离定理,为解决现实世界中的不相容问题奠定了基础。

This paper discusses several properties of extension convex set.At the sametime,it gives the definitions for seperation,and strict separation degree in exten-sion convex set as well.It obtains a degree and a theorem of separation in convexextension set,and introduces the conception for linear inner point of extension,and obtains the theorem for both separation and striet separation of extension con-vex set in linear space.Those theories lay a foundation in solving large number ofno-compatible problem in the real world.