Fuzzy n-ary hypergroups

Journal of Intelligent and Fuzzy Systems

Volumn 18, Issue 4, 2007, Pages 377-382

  Davvaz, B ^a   Corsini, P ^b  

^a YAZD UNIVERSITY   (Iran)

^b UNIVERSITY OF UDINE   (Italy)

Author keywords

Fundamental equivalence relation; Fuzzy n ary subhypergroup; Fuzzy subset; Hypergroup; N ary hypergroup; N ary subhypergroup

Indexed keywords

INTELLIGENT SYSTEMS; SOFT COMPUTING;

FUNDAMENTAL EQUIVALENCE RELATION; FUZZY N-ARY SUBHYPERGROUP; FUZZY SUBSET; HYPERGROUP; N-ARY HYPERGROUP; N-ARY SUBHYPERGROUP;

FUZZY SETS;

EID: 34548160414     PISSN: 10641246     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. R. Ameri and M.M. Zahedi, Hyperalgebraic system, Italian J. Pure Appl. Math. 6 (1999), 21-32.
2. P. Corsini, Prolegomena of hypergroup theory, (Second edition, Aviani Editor, 1993).
3. P. Corsini, A new connection between hypergroups and fuzzy sets, Southeast Asian Bull. Math. 27(2) (2003), 221-229.
4. P. Corsini and V. Leoreanu, Applications of hyperstructures theory, (Advanced in Mathematics, Kluwer Academic Publisher, 2003).
5. P. Corsini and I. Tofan, On fuzzy hypergroups, Pure Math. Appl. 8 (1997), 29-37.
6. B. Dav vaz, On connection between uncertainty algebraic hypersystems and probability spaces, Internat, J. Uncertain. Fuzziness Knowledge-Based Systems 13(3) (2005), 337-345.
7. u -groups, Fuzzy Sets and Systems 101 (1999), 191-195.
8. u-submodules, Fuzzy Sets and Systems 117 (2001), 477-484.
9. th International Congress on. Algebraic Hyperstructures and Applications, 1-9 Sep., 2002, Samothraki, Greece, Spanidis Press, 2003, pp. 39-70.
10. B. Davvaz and T Vougiouklis, n-Ary hypergroups, Iranian Journal of Science and Technology, in press.
11. W. Dörnte, Unterschungen uber einen verallgemeinerten gruppenbegriff, Math. Z. 6 (1929), 1-19.
12. WA. Dudek, Idempotents in n-ary semigroups, Southeast Asian Bull. Math. 25 (2001), 97-104.
13. M. Koskas, Groupoides, Demi-hypergroupes et hypergroupes, J. Math. Pures et Appl. 49 (1970), 155-192.
14. F. Marty, Sur une generalization, de la notion de group, 8th Congress Math. Scandenaves, Stockholm (1934), 45-49.
15. A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35 (1971), 512-517.
16. T Vougiouklis, Groups in hypergroups, Anais. Discrete Math. 37 (1988), 459-468.
17. T Vougiouklis, Hyperstructures and their representations, (Hadronic Press, Inc, 115, Palm Harber, USA, 1994).
18. L.A. Zadeh, Fuzzy sets, Inform Control 8 (1965), 338-353.