Congruence relations on some hyperstructures

Annals of Mathematics and Artificial Intelligence

Volumn 56, Issue 3-4, 2009, Pages 361-370

  Cabrera, Inma P ^a   Cordero, Pablo ^a   Gutiérrez, Gloria ^a   Martínez, Javier ^a   Ojeda Aciego, Manuel ^a  

^a UNIVERSITY OF MÁLAGA   (Spain)

Author keywords

Lattice theory; Multisemilattice; Non determinism

Indexed keywords

EID: 77949773401     PISSN: 10122443     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10472-009-9146-5     Document Type: Article

References (14)

1. Bakhshi, M., Borzooei, R. A.: Lattice structure on fuzzy congruence relations of a hypergroupoid. Inform. Sci. 177(16), 3305-3313 (2007).
2. Benado, M.: Les ensembles partiellement ordonnés et le théoréme de raffinement de Schreier. I. Čehoslovack. Mat. Ž 4(79), 105-129 (1954).
3. Cordero, P., Gutiérrez, G., Martínez, J., de Guzmán, I. P.: A new algebraic tool for automatic theorem provers. Multisemilattice: a structure to improve the efficiency of provers in temporal logic. Ann. Math. Artif. Intell. 42(4), 369-398 (2004).
4. Das, P.: Lattice of fuzzy congruences in inverse semigroups. Fuzzy Sets Syst. 91(3), 399-408 (1997).
5. Dutta, T., Biswas, B.: On fuzzy congruence of a near-ring module. Fuzzy Sets Syst. 112(2), 399-408 (2000).
6. Goguen, J.: L-fuzzy sets. J. Math. Anal. Appl. 18, 145-174 (1967).
7. Grätzer, G.: General Lattice Theory, 2nd ed. Birkhäuser, Boston (1998).
8. Martínez, J., Gutiérrez, G., de Guzmän, I. P., Cordero, P.: Generalizations of lattices via non-deterministic operators. Discrete Math. 295(1-3), 107-141 (2005).
9. Martínez, J., Gutiérrez, G., de Guzmän, I. P., Cordero, P.: Multilattices via multisemilattices. In: Topics in Applied and Theoretical Mathematics and Computer Science, pp. 238-248. WSEAS (2001).
10. Marty, F.: Sur une généralisation de la notion de groupe. In: 8th Congress Math, pp. 45-49. Scandinaves (1934).
11. Medina, J., Ojeda-Aciego, M., Ruiz-Calviño, J.: Fuzzy logic programming via multilattices. Fuzzy Sets Syst. 158(6), 674-688 (2007).
12. Murali, V.: Fuzzy congruence relations. Fuzzy Sets Syst. 41(3), 359-369 (1991).
13. Tan, Y.: Fuzzy congruences on a regular semigroup. Fuzzy Sets Syst. 117(3), 399-408 (2001).
14. Zadeh, L. A.: Fuzzy sets. Inf. Control 8, 338-353 (1965).