On some basic constructions in categories of quantale-valued sup-lattices
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2016
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Mark
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Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
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Abstract
If the standard concepts of partial-order relation and subset are fuzzi ed, taking valuation in a unital commutative quantale Q, corresponding concepts of joins and join-preserving mappings can be introduced. We present constructions of limits, colimits and Hom-objects in categories Q-Sup of Q-valued fuzzy joinsemilattices, showing the analogy to the ordinary category Sup of join-semilattices.
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Mathematics for Applications. 2016 vol. 5, č. 1, s. . ISSN 1805-3629
http://ma.fme.vutbr.cz/archiv/5_1/ma_5_1_slesinger_final.pdf
http://ma.fme.vutbr.cz/archiv/5_1/ma_5_1_slesinger_final.pdf
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en
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© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky