In this paper, we study
L
-congruences and their kernel in a subclass
K
n
,
0
of the variety of Ockham algebras
A
. We prove that the class of kernel
L
-ideals of an Ockham algebra forms a complete Heyting algebra. Moreover, for a given kernel
L
-ideal
ξ
on
A
, we obtain the least and the largest
L
-congruences on
A
having
ξ
as its kernel.
In this paper, the concept of belligerent fuzzy GE-filter of GE-algebra is introduced. The relationship between a fuzzy GE-filter of GE-algebra and a belligerent fuzzy GE-filter of GE-algebra is given. Further, it is shown that a finite product (union) of belligerent fuzzy GE-filters of GE-algebras is a belligerent fuzzy GE-filter of the finite product (union) of GE-algebras.
In this paper, we study the fuzzy congruence relation of MS-algebra ܮ and the fuzzy congruence relation generated by a given fuzzy relation on .ܮ We also investigate some properties of the fuzzy congruence relation generated by a given fuzzy relation on .ܮ
In this paper, we study fuzzy congruence relations and kernel fuzzy ideals of an Ockham algebra
A
,
f
, 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
A
to become a fuzzy kernel ideal. We also obtain the smallest (respectively, the largest) fuzzy congruence on
A
having a given fuzzy ideal as its kernel.
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