Fuzzy topological concepts via ideals and grills
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In this paper, we have introduced various types of $r$-fuzzy ideal continuity based on a fuzzy ideal ${\mathcal{I}}$ on a fuzzy topological space $(X, \tau)$. According to various types of $r$-fuzzy ideal openness, many implications between these types of $r$-fuzzy ideal continuity are illustrated. Fuzzy ideal openness and fuzzy ideal $\beta$-continuity are the core of these types of continuity. Fuzzy grills are investigated, and it is shown that studying concepts in view of fuzzy ideals is equivalent to studying the same concepts in view of fuzzy grills.
Abstract
In this paper, we have introduced various types of $r$-fuzzy ideal continuity based on a fuzzy ideal ${\mathcal{I}}$ on a fuzzy topological space $(X, \tau)$. According to various types of $r$-fuzzy ideal openness, many implications between these types of $r$-fuzzy ideal continuity are illustrated. Fuzzy ideal openness and fuzzy ideal $\beta$-continuity are the core of these types of continuity. Fuzzy grills are investigated, and it is shown that studying concepts in view of fuzzy ideals is equivalent to studying the same concepts in view of fuzzy grills.
참고문헌 (13)
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