Theory of interval algebra extension
Song Xiao-qiu · Systems engineering and electronics · 2005
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.