Fuzzy congruence relations on nd-groupoids

International Journal of Computer Mathematics

Volumn 86, Issue 10-11, 2009, Pages 1684-1695

  Cabrera, I P ^a   Cordero, P ^a   Gutierrez, G ^a   Martinez, J ^a   Ojeda Aciego, M ^a  

^a UNIVERSITY OF MÁLAGA   (Spain)

Author keywords

Fuzzy congruence relation; Hypergroupoid; Nd groupoid

Indexed keywords

COMPLETE LATTICES; FUZZY CONGRUENCE RELATION; HYPERGROUPOID; ND-GROUPOID;

MATHEMATICAL TECHNIQUES;

COMPUTER SCIENCE;

EID: 76249097999     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160902721797     Document Type: Conference Paper

References (19)

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