定义了坡代数(X,+,*)的模糊滤子的概念,给出了X上的模糊集A是(X,+,*)的模糊子坡代数(resp.,模糊理想,模糊滤子)的若干个等价刻画以及X×X上的模糊集E是(X,+,*)上的模糊同余关系的若干个等价刻画,另外还证明了模糊子坡代数范畴[0,1]-SInc是坡代数范畴Inc上的拓扑范畴。
In this paper,the notion of fuzzy filter is defined,and some characterizations of a fuzzy subinclines,fuzzy ideals,fuzzy filters and fuzzy congruence relations are given.It is also proved that -SInc(the category of fuzzy subinclines and fuzzy incline homomorphisms) over Inc(the category of inclines and incline homomorphisms) is topological.