Closure fuzzy ideals of MS-algebras
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In this paper, we introduce concepts of dominator fuzzy ideals and closure fuzzy ideals in MS-algebras and study some properties of these fuzzy ideals. It is proved that the lattice of all closure fuzzy ideals is isomorphic to the fuzzy ideal lattice of the lattice of all principal dominator ideals. A set of equivalent conditions is obtained to characterize closure fuzzy ideals of MS-algebras. Finally some properties of closure fuzzy ideals are studied with respect to homomorphisms.
Abstract
In this paper, we introduce concepts of dominator fuzzy ideals and closure fuzzy ideals in MS-algebras and study some properties of these fuzzy ideals. It is proved that the lattice of all closure fuzzy ideals is isomorphic to the fuzzy ideal lattice of the lattice of all principal dominator ideals. A set of equivalent conditions is obtained to characterize closure fuzzy ideals of MS-algebras. Finally some properties of closure fuzzy ideals are studied with respect to homomorphisms.
참고문헌 (17)
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