In this paper, we study fuzzy congruence relations and kernel fuzzy ideals of an Ockham algebra , whose truth values are in a complete lattice satisfying the infinite meet distributive law. Some equivalent conditions are derived for a fuzzy ideal of an Ockham algebra to become a fuzzy kernel ideal. We also obtain the smallest (respectively, the largest) fuzzy congruence on having a given fuzzy ideal as its kernel.

中文翻译：

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奥卡姆代数中的 L-模糊同余和 L-模糊核理想

在本文中，我们研究了一个 Ockham 代数的模糊同余关系和核模糊理想 ，其真值在满足无穷满足分配律的完全格中。推导出了奥卡姆代数的模糊理想成为模糊核理想的一些等价条件。我们还获得了将给定模糊理想作为其核的最小（分别为最大）模糊同余。