Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 86, 2009 - Issue 10-11: COMPUTATIONAL AND MATHEMATICAL METHODS IN SCIENCE AND ENGINEERING
Submit an article Journal homepage
64
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Fuzzy congruence relations on nd-groupoids

I. P. Cabrera Department of Applied Mathematics, University of Málaga, Spain
,
P. Cordero Department of Applied Mathematics, University of Málaga, Spain
,
G. Gutiérrez Department of Applied Mathematics, University of Málaga, Spain
,
J. Martínez Department of Applied Mathematics, University of Málaga, Spain
&
M. Ojeda-Aciego Department of Applied Mathematics, University of Málaga, SpainCorrespondence[email protected]
Pages 1684-1695 | Received 02 Sep 2008, Accepted 31 Dec 2008, Published online: 18 Nov 2010
 
Sample our Computer Science journals, sign in here to start your access, latest two full volumes FREE to you for 14 days

Abstract

In this work we introduce the notion of fuzzy congruence relation on an nd-groupoid and study conditions on the nd-groupoid that guarantee a complete lattice structure on the set of fuzzy congruence relations. The study of these conditions allowed to construct a counterexample to the statement that the set of fuzzy congruences on a hypergroupoid is a complete lattice.

2000 AMS Subject Classifications :

Acknowledgements

We thank Prof. Dragoş Vaida for his valuable comments on preliminary versions of this article. The authors have been partially supported by projects TIN2006-15455-C03-01, TIN2007-65819 (Science Ministry of Spain) and P06-FQM-02049 (Junta de Andalucía).

Log in via your institution

Access through your institution

Log in to Taylor & Francis Online

Restore content access

Restore content access for purchases made as guest
Purchase options * Save for later

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,129.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.