计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2013年
17期
12-14
,共3页
剩余格%模糊滤子%模糊同余关系
剩餘格%模糊濾子%模糊同餘關繫
잉여격%모호려자%모호동여관계
residuated lattice%fuzzy filter%fuzzy congruence relation
介绍了剩余格上的模糊同余关系和模糊滤子的定义，给出了剩余格上模糊滤子和模糊同余关系间的一一对应，证明了在剩余格上模糊滤子和模糊同余关系上定义适当的序关系可使它们是完备格同构。
介紹瞭剩餘格上的模糊同餘關繫和模糊濾子的定義，給齣瞭剩餘格上模糊濾子和模糊同餘關繫間的一一對應，證明瞭在剩餘格上模糊濾子和模糊同餘關繫上定義適噹的序關繫可使它們是完備格同構。
개소료잉여격상적모호동여관계화모호려자적정의，급출료잉여격상모호려자화모호동여관계간적일일대응，증명료재잉여격상모호려자화모호동여관계상정의괄당적서관계가사타문시완비격동구。
In this paper, it introduces definition of fuzzy filters and fuzzy congruence relations on residuated lattices, then it gives a one-to-one correspondence from the set of all fuzzy filters and the set of all fuzzy filters in residuated lattice. It is proved that an appropriate order relation can be defined on the set of all fuzzy filters(resp., the set of all fuzzy filters)such that they are complete lattice isomorphism.
