On fuzzification of topological categories

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00075362" target="_blank" >RIV/00216224:14310/14:00075362 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.fss.2013.05.003" target="_blank" >http://dx.doi.org/10.1016/j.fss.2013.05.003</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2013.05.003" target="_blank" >10.1016/j.fss.2013.05.003</a>

Result language
angličtina
Original language name
On fuzzification of topological categories
Original language description
This paper shows that(L, M)-fuzzy topology of U. Höhle, T. Kubiak and A. Šostak is an instance of a general fuzzification procedure for topological categories, which amounts to the construction of a new topological category from a given one. This fuzzification procedure motivates a partial dualization of the machinery of tower extension of topological constructs of D. Zhang, thereby providing the procedure of tower extension of topological categories. With the help of this dualization, we arrive at themeta-mathematical result that the concept of(L, M)-fuzzy topology and the notion of approach space of R. Lowen are ?dual? to each other.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/EE2.3.20.0051" target="_blank" >EE2.3.20.0051: Algebraic methods in Quantum Logic</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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