模糊关系的不动点及在计算传递闭包中的应用

Fixed-Points in Fuzzy Relations and the Application in Transitive Closure Calculation

给出了模糊关系的不动点定义，以及找不动点的一些方法，阐述了不动点通路的性质。利用不动点及不动点通路的性质，改进了模糊关系传递闭包的计算方法。

the existence of fixed-points in fuzzy relations is proved.Some methods for finding thefixed-points as well as the definitions of the walk,bridge and sub-bridge of fixed-points arepresented.It is also proved that fixed-points can be used to calculate transitive closure offuzzy relations,An approved algorithm for calculating the transitive closure is given and thesimulation results show that its speed is higher than that by Warshall′s.