Some attempts to establish a link between point-free geometry and the categorical approach to fuzzy set theory is exposed. In fact, it is possible to find functors between the category of fuzzy sets as defined by Höhle in [4] and a category whose objects are the pointless ultrametric spaces.
Point-free Ultrametric Spaces and the Category of Fuzzy Subsets / Gerla, G.; Coppola, C.; Pacelli, T.. - 1:(2004), pp. 503-510. (Intervento presentato al convegno Tenth International Conference IPMU 2004 – Information Processing and Management of Uncertainty in Knowledge-Based Systems tenutosi a Perugia nel July, 4-9, 2004).
Point-free Ultrametric Spaces and the Category of Fuzzy Subsets
Pacelli T.
2004
Abstract
Some attempts to establish a link between point-free geometry and the categorical approach to fuzzy set theory is exposed. In fact, it is possible to find functors between the category of fuzzy sets as defined by Höhle in [4] and a category whose objects are the pointless ultrametric spaces.File in questo prodotto:
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Point-free ultrametric spaces and the category of fuzzy subsets.pdf
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