On skew fuzzy ideals (filters) of skew lattices
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In this paper, the concept of skew fuzzy ideals (filters) of skew lattices and the concept of fuzzy ideals (filters) of skew lattices are introduced. The characterizations of skew fuzzy ideals (filters) of skew lattices in terms of fuzzy subsets are given. An isomorphism between the class of all crisp ideals of a skew lattice and the class of all fuzzy ideals of a skew lattice (called $\alpha-level$ fuzzy ideal) is established. Further, it is proved that any fuzzy ideal (filter) of a skew lattice is a skew fuzzy ideal (filter).
Abstract
In this paper, the concept of skew fuzzy ideals (filters) of skew lattices and the concept of fuzzy ideals (filters) of skew lattices are introduced. The characterizations of skew fuzzy ideals (filters) of skew lattices in terms of fuzzy subsets are given. An isomorphism between the class of all crisp ideals of a skew lattice and the class of all fuzzy ideals of a skew lattice (called $\alpha-level$ fuzzy ideal) is established. Further, it is proved that any fuzzy ideal (filter) of a skew lattice is a skew fuzzy ideal (filter).
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