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Further study on $(L,M)$-fuzzy topologies and $(L,M)$-fuzzy neighborhood systems | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 8، دوره 11، شماره 3، تابستان 2014، صفحه 109-123 اصل مقاله (398.91 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2014.1573 | ||
| نویسندگان | ||
Hu Zhao   1؛ Sheng-gang Li2؛ Gui-xiu Chen2
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| 1College of Mathematics and Information Science, Shaanxi Normal Uni- versity, Xi'an, 710062, P. R. China and School of Science, Xian Polytechnic University, Xian 710048, P.R .China | ||
| 2College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, 710062, P. R. China | ||
| چکیده | ||
| Following the idea of $L$-fuzzy neighborhood system as introduced by Fu-Gui Shi, and its generalization to $(L,M)$-fuzzy neighborhood system, the relationship between $(L,M)$-fuzzy topology and $(L,M)$-fuzzy neighborhood system will be further studied. As an application of the obtained results, we will describe the initial structures of $(L,M)$-fuzzy neighborhood subspaces and $(L,M)$-fuzzy topological product spaces. | ||
| کلیدواژه‌ها | ||
| $(L؛ M)$-fuzzy topology؛ M)$-fuzzy neighborhood system؛ Subspace؛ Product space | ||
| مراجع | ||
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