In its turn, L M-rough approximation operators are used to induce topological-type structures, called here ML-graded ditopologies.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:We introduce a certain many-valued generalization of the concept of an L-valued equality called an L M-valued equality.
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Temel Bulgular & Veri:Properties of L Mvalued equalities are studied and a construction of an L M-valued equality from a pseudo-metric is presented.
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Sonuç & Katkı:In its turn, L M-rough approximation operators are used to induce topological-type structures, called here ML-graded ditopologies.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri
Abstract
We introduce a certain many-valued generalization of the concept of an L-valued equality called an L M-valued equality. Properties of L Mvalued equalities are studied and a construction of an L M-valued equality from a pseudo-metric is presented. L M-valued equalities are applied to introduce upper and lower L M-rough approximation operators, which are essentially many-valued generalizations of Z. Pawlak's rough approximation operators and of their fuzzy counterparts. We study properties of these operators and their mutual interrelations. In its turn, L M-rough approximation operators are used to induce topological-type structures, called here ML-graded ditopologies.
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Bu Makaleye Atıf Yap
SOSTAK, A., EL, A., KİNS, K. (2022). L M-valued equalities, L M-rough approximation operators and ML-graded ditopologies. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 1, 15–32. https://ajindex.com/articles/529941
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