On (L, M)-fuzzy convergence spaces

Bin Pang*

*此作品的通讯作者

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48 引用 (Scopus)
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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
页(从-至)46-70
页数25
期刊Fuzzy Sets and Systems
238
DOI
出版状态已出版 - 1 3月 2014

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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