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Limits of Fuzzy Categories
University West, Department of Engineering Science.ORCID iD: 0000-0001-6594-7041
2012 (English)In: Advances in Fuzzy Systems, ISSN 1687-7101, E-ISSN 1687-711X, Vol. 13, no 2, p. 77-96Article in journal (Refereed) Published
Abstract [en]

Serving as a generalization of many examples of fuzzy algebraical systems, we introduce fuzzy categories and show that categories formed by fuzzy categories are topological. By using this, we show results concerning the existence of limits and colimits in such categories. We apply these results to the categories of fuzzy sets, fuzzy categories, fuzzy groupoids, fuzzy monoids, fuzzy groups, fuzzy abelian groups and fuzzy ordered sets. Thereafter, we determine the complete ordered lattice structure of the collection of grade maps on some finite categories, in particular on cyclic groups of prime power order. We use this in the end of the article to construct grade maps on p-adic groups.

Place, publisher, year, edition, pages
2012. Vol. 13, no 2, p. 77-96
Keywords [en]
Topological functor, fuzzy set, fuzzy group, fuzzy module.
National Category
Algebra and Logic
Research subject
ENGINEERING, Mathematics
Identifiers
URN: urn:nbn:se:hv:diva-5168OAI: oai:DiVA.org:hv-5168DiVA, id: diva2:610778
Available from: 2013-03-13 Created: 2013-03-13 Last updated: 2019-11-28Bibliographically approved

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Nystedt, Patrik

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