Abstract
In the formal and fully graded setting of Fuzzy Class Theory (or higher-order fuzzy logic) we make an initial investigation into basic notions of fuzzy topology. In particular we study graded notions of fuzzy topology regarded as a fuzzy system of open or closed fuzzy sets and as a fuzzy system of fuzzy neighborhoods. We show their basic graded properties and mutual relationships provable in Fuzzy Class Theory and give some links to the traditional notions of fuzzy topology. © Springer-Verlag Berlin Heidelberg 2007.
Cite
CITATION STYLE
Běhounek, L., & Kroupa, T. (2007). Topology in fuzzy class theory: Basic notions. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4529 LNAI, pp. 513–522). Springer Verlag. https://doi.org/10.1007/978-3-540-72950-1_51
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