Hyperstructures associated with binary relations

Computers and Mathematics with Applications

Volumn 51, Issue 1, 2006, Pages 41-50

  Spartalis, S I ^a   Mamaloukas, C ^a  

^a Sch Eng   (Greece)

Author keywords

Binary relations; Boolean matrices; Hypergroupoids

Indexed keywords

BOOLEAN ALGEBRA; MATRIX ALGEBRA; SET THEORY;

BINARY RELATIONS; BOOLEAN MATRICES; HYPERGROUPOIDS;

NUMERICAL METHODS;

EID: 33747074113     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2005.07.011     Document Type: Article

References (17)

1. Corsini P. Binary relations and hypergroupoids. Italian Journal of Pure and Applied Mathematics N.7 (2000) 11-18
2. Corsini P. Applications of Hyperstructure Theory (2002), Kluwer Academic Publishers, Boston, MA
3. th Internat. Congress on AHA (2003) 1-37
4. P. Corsini and V. Leoreanu, Hypergroups and binary relations.
5. Rosenberg I. Hypergroups and Join Spaces determined by Relations. Italian Journal of Pure and Applied Mathematics N.4 (1998) 93-101
6. (in Czech.). Chvalina J. Functional Graphs, Quasi-ordered Sets and Commutative Hypergraphs (1995), Vydavatelstvi Masarykovy Univerzity, Boston, MA
7. Chvalina J. Commutative hypergroups in the sense of Marty and ordered sets. Proceedings of the Summer School on General Algebra and Ordered Sets. Olomouc (Czech Republic) (1994) 19-30
8. Konstantinidou M., and Serafimidis K. Sur les P-supertrillis. New Frontiers in Hyperstructures and Rel. Algebras (1996), Hadronic Press, Brno 139-148
9. th Internat. Congress on AHA (2003) 183-189
10. Leoreanu V., and Leoreanu L. Hypergroups associated with hypergraphs. Italian Journal of Pure and Applied Mathematics (1997)
11. Serafimidis K. Certaines proprietes supplementaires des hypergroupoides. Elements premiers et etranges entre eux. Rend. Ist. Matem. Univ. Trieste XIX (1978)
12. th Internat. Congress on AHA (2003) 239-250
13. DeSalvo M., and Lo Faro J. A new class of hypergroupoids associated to binary relations. Algebraic Hyperstructures and Applications (AHA 2002). September 1-9, 2002, Samothraki, Greece (2002)
14. M. DeSalvo and J. Lo Faro, Hypergroups and binary relations, Multiple Valued Logic (to appear).
15. Hort D. A construction of hypergroups from ordered structures and their morphisms. Algebraic Hyperstructures and Applications (AHA 1999), Taormina, Italy (1999)
16. Kehagias A. L-fuzzy ∨ and ∧ hyperoperations and the associated L-fuzzy hyperalgebras. Rendiconti del Circolo Matematico di Palermo II LII (2003) 322-350
17. Spratalis S. Hypergroupoids obtained from groupoids with binary relations. Italian Journal of Pure and Applied Mathematics N.16 (2004) 201-210