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Research Centre
Data - Algorithms - Decision Making
Data - Algorithms - Decision Making
Established in 2005 under support of MŠMT ČR (project 1M0572)
Publications
Topology in Fuzzy Class Theory: Basic Notions
Typ:
Jornal article
Authors:
Běhounek L., Kroupa T.
Name of journal:
Lecture Notes in Artificial Intelligence
Year:
2007
Pages:
513-522
ISSN:
0302-9743
Anotation:
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.