区间和Fuzzy(值)凸函数及凸泛函

Interval and fuzzy(value)convex function with convex functional

在区间与Fuzzy(模糊)(值)函数、区间与Fuzzy(值)泛函变分的基础上,提出了区间和Fuzzy(值)凸函数与凸泛函的概念,给出了区间、普通函数在模糊点,模糊函数在普通点和模糊函数在模糊点的凸函数与凸泛函的定义,以及判断它们凸性的条件,为Fuzzy最优化理论和Fuzzy变分法在物理及近似计算方面的应用奠定了基础.

This text, on the foundation of interval and fuzzy （value） function, interval and fuzzy（value） functional variation, puts forward a concept on interval and fuzzy （value） convex function and convex functional, gives the definition of a convex function and convex functional about an interval, a common function at fuzzy points, a fuzzy function at common points and a fuzzy function at fuzzy points, and judges their convexity condition. This lays a foundation on the application of fuzzy optimal theories and fuzzy variation methods at physical and approximate calculation.