Setfunctors, L-fuzzysetcategories, and generalizedterms
2002 (English)In: Computers and Mathematics with Applications, ISSN 0898-1221, Vol. 43, no 6-7, 693-705 p.Article in journal (Refereed) Published
In this work, we generalize previous constructions of fuzzysetcategories, introduced in , by consideringL-fuzzysets in which the values of the characteristic functions run on a completely distributive lattice, rather than in the unit real interval. Later, these L-fuzzysets are used to define the L-fuzzycategories, which are proven to be rational. In the final part of the paper, the L-fuzzyfunctors given by the extension principles are provided with a structure of monad which is used, together with the functorial definition of theterm monad, to provide monad compositions as a basis for a notion of generalisedterms.
Place, publisher, year, edition, pages
Elsevier, 2002. Vol. 43, no 6-7, 693-705 p.
Extension principles, Generalised terms, Monad compositions
IdentifiersURN: urn:nbn:se:umu:diva-3898DOI: 10.1016/S0898-1221(01)00314-5OAI: oai:DiVA.org:umu-3898DiVA: diva2:142797