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Characterizations of L-order L-convex spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 8، دوره 19، شماره 5، آذر و دی 2022، صفحه 95-109 اصل مقاله (212.18 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2022.7159 | ||
| نویسندگان | ||
| S. H. Su* 1؛ Q. G. Li2؛ F. Y. Liu1؛ Q. Li3 | ||
| 1School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Songjiang 201620, China | ||
| 2School of Mathematics, Hunan University, Changsha 410082, China | ||
| 3Fuzhou Teachers' College, East China University of Technology, Fuzhou 344000, China | ||
| چکیده | ||
| In this paper, the concepts of $L$-enclosed $L$-order space, $L$-order $L$-concave space, $L$-internal $L$-order space and $L$-order $L$-convex filter are introduced. The main results are: (1) the categories of $L$-order $L$-convex spaces, $L$-enclosed $L$-order spaces, $L$-order $L$-concave spaces and $L$-internal $L$-order spaces are isomorphic; (2) the category of $L$-order convergence spaces based on $L$-order $L$-convex filters is topological; (3) there is a Galois correspondence between the category of $L$-order convergence spaces and that of $L$-order $L$-convex spaces. | ||
| کلیدواژهها | ||
| $L$-order $L$-convexity؛ $L$-enclosed $L$-order؛ $L$-order $L$-convex filter؛ $L$-order $L$-concavity؛ $L$-order convergence structure | ||
| مراجع | ||
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