摘要
以区间代数为基础,对其进行理论扩充。对基本初等函数,如三角函数、反三角函数、指数函数、幂函数等进行区间扩展,这样任意初等函数的一种区间扩展形式都可以通过对扩展后的区间基本初等函数进行有限次四则运算和复合运算得到。对一类条件函数进行区间扩展。
The extension of interval algebra is realized based on the theory of interval algebra. Firstly, the interval extension of the basic elementary functions such as trigonometric function, inverse trigonometric function, exponential function and power function is made, thus the interval extension of any elementary function can be achieved by the basic elementary function's arithmetic and compound operation. Secondly, the interval extension for a class of condition function is given. It is proved that the interval function having been extended is monotonously inclusive.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2005年第4期720-722,726,共4页
Systems Engineering and Electronics
基金
总装备部武器装备预研基金资助课题 (5 14 190 40 3 0 1HT70 63 )
关键词
区间代数
区间扩展
条件函数
interval algebra
interval extension
condition function
