On -fuzzy quasi-uniform spaces

Yue, Yueli; Shi, Fu-Gui

doi:10.1016/j.fss.2007.01.018

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Cited by 10 publications

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“…One can also define (L, M)-fuzzy topological groups by (L, M)-fuzzy quasi-coincident neighborhood systems [28] or (L, M)-fuzzy interior operators [21] or (L, M)-fuzzy closure operators [21] or (L, M)-fuzzy remote neighborhood systems [28]. We notice that in our paper, the role of the lattice M is not that clear, which, however, is very important in other developments(see [22,23,28,29,32,34] ). To study the uniformizability and metrization of (L, M)-fuzzy topological groups will be our future work.…”

Section: Resultsmentioning

confidence: 85%

(L, M)-fuzzy topological groups

Zhao

Chen

2014

Journal of Intelligent &Amp; Fuzzy Systems

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Following the idea of L-fuzzy neighborhood system as introduced by F.-G. Shi, and its generalization to (L, M)-fuzzy neighborhood systems, we introduce the notion of (L, M)-fuzzy topological group, and obtain various properties, including some results on quotient groups of (L, M)-fuzzy topological groups. We show that the category of (L, M)-fuzzy topological groups is topological over the category of groups with respect to the forgetful functor.

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