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Fuzzified categories of composition graphs
University West, Department of Technology, Mathematics and Computer Science.
2005 (English)Report (Other (popular science, discussion, etc.))
Abstract [en]

Serving as a generalization of many examples of fuzzy algebraical systems equipped with a binary operation, we introduce fuzzy composition graphs and show that categories formed by such graphs are, in the sense of Wyler [10], top categories. By using this, we investigate projective and injective objects in such categories, and we determine when various limits and colimits, such as terminal and initial objects, products, coproducts, pullbacks, pushouts, equalizers, coequalizers, kernels and cokernels, exist in categories of this type and what they look like. These results are then applied to the categories of fuzzy sets, fuzzy categories, fuzzy groupoids, fuzzy monoids, fuzzy groups and fuzzy abelian groups.

Place, publisher, year, edition, pages
Trollhättan: Högskolan Trollhättan/Uddevalla , 2005. , 16 p.
Series
Preprint / Högskolan Trollhättan/Uddevalla [Elektronisk], ISSN 1653-2392 ; 2005:03
Keyword [sv]
Abstrakt algebraisk geometri
National Category
Mathematics
Research subject
Engineering, Mathematics
Identifiers
URN: urn:nbn:se:hv:diva-53OAI: oai:DiVA.org:hv-53DiVA: diva2:207841
Available from: 2009-03-16 Created: 2009-03-13 Last updated: 2009-03-24Bibliographically approved

Open Access in DiVA

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Type fulltextMimetype application/pdf

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf