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ON (L;M)-FUZZY CLOSURE SPACES | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 5، دوره 9، شماره 5، اسفند 2012، صفحه 41-62 اصل مقاله (467.85 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2012.103 | ||
| نویسندگان | ||
| Halis Aygun1؛ Vildan Cetkin2؛ S. E. Abbas3 | ||
| 1Department of Mathematics, Kocaeli University, 41380, Kocaeli, Turkey. | ||
| 2Department of Mathematics, Kocaeli University, 41380, Kocaeli, Turkey. | ||
| 3Department of Mathematics, Faculty of Science, Sohag 82524, Egypt. | ||
| چکیده | ||
| The aim of this paper is to introduce $(L,M)$-fuzzy closure structure where $L$ and $M$ are strictly two-sided, commutative quantales. Firstly, we define $(L,M)$-fuzzy closure spaces and get some relations between $(L,M)$-double fuzzy topological spaces and $(L,M)$-fuzzy closure spaces. Then, we introduce initial $(L,M)$-fuzzy closure structures and we prove that the category $(L,M)$-{bf FC} of $(L,M)$-fuzzy closure spaces and $(L,M)$-$mathcal{C}$-maps is a topological category over the category {bf SET}. From this fact, we define products of $(L,M)$-fuzzy closure spaces. Finally, we show that an initial structure of $(L,M)$-double fuzzy topological spaces can be obtained by the initial structure of $(L,M)$-fuzzy closure spaces induced by them. | ||
| کلیدواژهها | ||
| Double fuzzy topological space؛ Fuzzy closure space؛ Initial fuzzy closure space | ||
| مراجع | ||
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