摘要
This paper presents a definition of (L,M)-fuzzy convergence spaces. It is shown that the category (L,M)-FC of (L,M)-fuzzy convergence spaces, which embeds the category (L,M)-FTop of (L,M)-fuzzy topological spaces as a reflective subcategory, is a Cartesian closed topological category. Further, it is proved that the category of (topological) pretopological (L,M)-fuzzy convergence spaces is isomorphic to the category of (topological) (L,M)-fuzzy quasi-coincident neighborhood spaces. Moreover, the relations among (L,M)-fuzzy convergence spaces, pretopological (L,M)-fuzzy convergence spaces and topological (L,M)-fuzzy convergence spaces are investigated in the categorical sense.
源语言 | 英语 |
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页(从-至) | 46-70 |
页数 | 25 |
期刊 | Fuzzy Sets and Systems |
卷 | 238 |
DOI | |
出版状态 | 已出版 - 1 3月 2014 |
指纹
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Pang, B. (2014). On (L, M)-fuzzy convergence spaces. Fuzzy Sets and Systems, 238, 46-70. https://doi.org/10.1016/j.fss.2013.07.007