作者讨论了广义梯形模糊数和它的重心之间的关系。一方面,通过一个已知广义梯形模糊数,利用公式可以确定出它的重心;另一方面,如果已知一个广义梯形模糊数的重心、宽度和左右扩张,则可以确定出这个广义梯形模糊数,并赋予相应的例子。
In this paper we discuss the relation between a generalized trapezoidal fuzzy numbers and its centroid.On the one hand,the centroid of a known generalized trapezoidal fuzzy numbers can be deter-mined by the centroid formulae;On the other hand,if the centroid,the width and the left/right spread of an unknown generalized trapezoidal fuzzy numbers are given,we can find this fuzzy numbers and some examples are given.