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

References

  • Bakhshi , M. and Borzooei , R. A. 2007 . Lattice structure on fuzzy congruence relations of a hypergroupoid . Inform. Sci. , 177 ( 16 ) : 3305 – 3313 .
  • Benado , M. 1954 . Les ensembles partiellement ordonnés et le théorème de raffinement de Schreier I . Čehoslovack. Mat. Ž. , 4 ( 79 ) : 105 – 129 .
  • Bošnjak , I. and Madarász , R. 2003 . On power structures . Algebra Discrete Math. , 2 : 14 – 35 .
  • Cordero , P. , Gutiérrez , G. , Martínez , J. , Ojeda-Aciego , M. and de las Peñas , I. 2008 . Proceedings of the 14th Spanish Conference on Fuzzy Logic and Technology . 2008 . Congruence relations on hypergroupoids and nd-groupoids , pp. 127 – 132 .
  • Cordero , P. , Gutiérrez , G. , Martínez , J. , Ojeda-Aciego , M. and de las Peñas , I. 2008 . Proceedings of the 8th International FLINS Conference on Computational Intelligence in Decision and Control . 2008 . Congruence relations on multilattices , pp. 139 – 144 .
  • Das , P. 1997 . Lattice of fuzzy congruences in inverse semigroups . Fuzzy Sets Syst. , 91 ( 3 ) : 399 – 408 .
  • Dutta , T. and Biswas , B. 2000 . On fuzzy congruence of a near-ring module . Fuzzy Sets Syst. , 112 ( 2 ) : 399 – 408 .
  • Goguen , J. 1967 . L-fuzzy sets . J. Math. Anal. Appl. , 18 : 145 – 174 .
  • Madarász , R. S. 1995 . Remarks on power structures . Algebra Universalis , 34 ( 2 ) : 179 – 184 .
  • Martínez , J. , Gutiérrez , G. , de Guzmán , I. P. and Cordero , P. 2001 . Multilattices via multisemilattices , 238 – 248 . Athens : Topics in Applied and Theoretical Mathematics and Computer Science, WSEAS .
  • Martínez , J. , Gutiérrez , G. , de Guzmán , I. P. and Cordero , P. 2005 . Generalizations of lattices via non-deterministic operators . Discrete Math. , 295 ( 1–3 ) : 107 – 141 .
  • Marty , F. 1934 . Sur une généralisation de la notion de groupe , 45 – 49 . Stockholm : 8th Congress Math. Scandinaves .
  • Medina , J. , Ojeda-Aciego , M. and Ruiz-Calviño , J. 2007 . Fuzzy logic programming via multilattices . Fuzzy Sets Syst. , 158 ( 6 ) : 674 – 688 .
  • Murali , V. 1989 . Fuzzy equivalence relations . Fuzzy Sets Syst. , 30 ( 2 ) : 155 – 163 .
  • Murali , V. 1991 . Fuzzy congruence relations . Fuzzy Sets Syst. , 41 ( 3 ) : 359 – 369 .
  • Swamy , U. M. and Raju , D. V. 1998 . Fuzzy ideals and congruences of lattices . Fuzzy Sets Syst. , 95 ( 2 ) : 249 – 253 .
  • Tan , Y. 2001 . Fuzzy congruences on a regular semigroup . Fuzzy Sets Syst. , 117 ( 3 ) : 399 – 408 .
  • Vaida , D. 2006 . Note on some order properties related to processes semantics (I) . Fundamenta Informaticae , 73 : 307 – 319 .
  • Zadeh , L. A. 1965 . Fuzzy sets . Inf. Control , 8 : 338 – 353 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

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.