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on l-fuzzy approximation operators and l-fuzzy relations on residuated lattices
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نویسنده
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kondo m.
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منبع
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journal of algebraic hyperstructures and logical algebras - 2023 - دوره : 4 - شماره : 2 - صفحه:1 -16
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چکیده
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We consider properties of l-fuzzy relations and l-normal operators for a residuated lattice l in detail and show that the class rl(u) of all l-fuzzy relations on u and the class nl(u) of all l-normal operators are residuated lattices and they are isomorphic as lattices. moreover, we prove that for any l-normal operators f, it is reflexive (or transitive) if and only if the l-fuzzy relation rf induced by f is reflexive (or transitive) respectively.
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کلیدواژه
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l-fuzzy relation ,l-fuzzy approximation operator ,l-fuzzy approximation space ,residuated lattice
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آدرس
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tokyo denki university, department of mathematics, japan
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پست الکترونیکی
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mkondo@mail.dendai.ac.jp
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Authors
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