On some basic constructions in categories of quantale-valued sup-lattices
Radek Šlesinger · Mathematics for Applications · 2016
If the standard concepts of partial-order relation and subset are fuzzified, 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.MSC (2010): primary 08A72, 06F99; secondary 18B35.