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Fuzzy algebras as a framework for fuzzy topology

Fuzzy algebras as a framework for fuzzy topology,10.1016/j.fss.2011.02.009,Fuzzy Sets and Systems,Sergey A. Solovyov

Fuzzy algebras as a framework for fuzzy topology   (Citations: 3)
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The paper introduces a variety-based version of the notion of the (L,M)-fuzzy topological space of Kubiak and Šostak and embeds the respective category into a suitable modification of the category of topological systems of Vickers. The new concepts provide a common framework for different approaches to fuzzy topology and topological systems existing in the literature, paving the way for studying the problem of interweaving algebra and topology in mathematics, which was raised by Denniston, Melton and Rodabaugh in their recent research on variable-basis topological systems over the category of locales.
Journal: Fuzzy Sets and Systems - FSS , vol. 173, no. 1, pp. 81-99, 2011
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    • ...The cut set is very useful and important in the research of fuzzy set theory, which is applied in fuzzy topology [2-3], fuzzy algebras [4- 5], fuzzy measure and analysis [6-10], fuzzy optimization and decision [11-1 2], fuzzy reasoning [13- 14], fuzzy logic [1 5]and related domains...

    Shun-xiang Wuet al. Three theorems of interval fuzzy set

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