摘要
介绍和讨论了一个新概念模糊圆．如果一个二维平面上的简单闭合曲线趋近于一个圆，就可以求出它的模糊圆．一个模糊圆由一条简单闭合曲线和该曲线的圆度函数共同给出．对于一条给定的简单闭合曲线，可以求出它的一个模糊圆序列，并证明该序列收敛于一个圆的关键是求一条特定曲线的圆度函数．
Fuzzy circle,a new concept,was introduced and discussed.If a simple
closed curve on the xy plane approximates a crisp circle,then a fuzzy circle of it can be made.
Roughtly speaking,a fuzzy circle is formed by a simple closed curve together with a circularity
function.A sequence of fuzzy circles for a given simple closed curve can be made,and it can be
proof that the sequence of fuzzy circle converges to a crisp circle.
出处
《沈阳化工学院学报》
1999年第1期77-81,共5页
Journal of Shenyang Institute of Chemical Technolgy
关键词
凸简单闭合曲线
圆度函数
模糊圆
convex simple
closed curve
set
circularity function
fuzzy circle
convergence
