Abstract
We introduce the concept of L-double uniform spaces in Hutton’s sense. We prove the category of L-double uniform spaces is topological category over SET. The natural relationships between L-double uniformities, L-double fuzzy topologies and L-double fuzzy topogenous structures are studied. The family \(\coprod(\eta,\eta^{*})\) of all L-double uniformities \((\mathcal{U},\mathcal{U}^{*})\) compatible with an L-double fuzzy topogenous structure (η, η*) on X is never empty and it contains an L-double uniformity \((\mathcal{U}_{\eta},\mathcal{U}_{\eta^{*}})\), which is the coarsest member of \(\coprod(\eta,\eta^{*}). \)
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Ghareeb, A. Hutton L-double uniform spaces. Neural Comput & Applic 21 (Suppl 1), 181–189 (2012). https://doi.org/10.1007/s00521-011-0758-4
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DOI: https://doi.org/10.1007/s00521-011-0758-4