模糊数四则运算的交点-间断点法

对模糊数的四则运算提出了一种交点-间断点法:将模糊数的加法、减法和除法运算,化为求两个函数在某区间上其交点处的值;当交点不存在且两函数在该区间上的间断点为有限个时,将其运算化为求一函数在这些间断点处及区间的两端点处的最大值;将模糊数的乘法运算,化为用交点法或间断点法分别在两个区间上求出相应的值,然后取它们中最大者。

Four Arithmetic Operations of Fuzzy Number by Method of Intersection Point or Discontinuity Point

In this paper,we present a method on the four arithmetic operations of fuzzy number,which,except for multiplication operation,are reduced to computing the values of two functions at their intersection point in an interval,or to maximizing a function at its discontinuity points in the interval and the two end points of the interval if the intersection point does not exist in the interval and the discontinuity points are finite;for multiplication operation,it is reduced to finding out two corresponding values in two intervals by the method,then to computing the maximum of the two values.