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Fuzzy set theory applied to incline algebras

Dudek W. A., Hong S. M., Jun Y. B.

Demonstratio Mathematica

2004

Vol. 37, nr 1

35--44

The fuzzification of fc-ideals (also r-ideals) of inclines is considered, and then we prove the notion of fuzzy ideal and fuzzy k-ideal coincide, and we investigate some properties on fuzzy r-ideals. Using level subsets of an incline with respect to a fuzzy subset A of inclines, we construct the fuzzy r-ideal containing A.

Roughness of filters in lattice implication algebras

Jun Y. B., Xu Y.

Bulletin of the Polish Academy of Sciences. Mathematics

2004

Vol. 52, nr 4

341-352

As a generalization of filters in lattice implication algebras, the notion of rough filters in lattice implication algebras is introduced, and some of their properties are considered.