On (α,β)-fuzzy hυ-ideals of hvirings

Iranian Journal of Fuzzy Systems

Volumn 5, Issue 2, 2008, Pages 35-47

  Davvaz, B ^a   Corsini, P ^b  

^a YAZD UNIVERSITY   (Iran)

^b UNIVERSITY OF UDINE   (Italy)

Author keywords

Fuzzy H ideal; Fuzzy set; H ring; Hyperstructure

Indexed keywords

EID: 77951694471     PISSN: 17350654     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. S. K. Bhakat, (ε, ε Vq)-fuzzy normal, quasinormal and maximal subgroups, Fuzzy Sets and Systems, 112 (2000), 299-312.
2. S. K. Bhakat and P. Das, Fuzzy subrings and ideals, Fuzzy Sets and Systems, 81 (1996), 383-393.
3. S. K. Bhakat and P. Das, (ε, ε Vq)-fuzzy subgroup, Fuzzy Sets and Systems, 80 (1996), 359-368.
4. P. Corsini, Prolegomena of hypergroup theory, Second Edition, Aviani Editor, 1993.
5. P. Corsini and V. Leoreanu, Applications of hyperstructures theory, Advanced in Mathematics, Kluwer Academic Publishers, 2003.
6. B. Davvaz, (ε, ε Vq)-fuzzy subnear-rings and ideals, Soft Conrputing 10 (2006), 206-211.
7. B. Davvaz, A brief survey of the theory of Hυ -structures, in: Proc. 8th International Congress on Algebraic Hyperstructures and Applications, 1-9 Sep., 2002, Samothraki, Greece, Spanidis Press, 2003, 39-70.
8. B. Davvaz, Fuzzy Hυ-groups, Fuzzy Sets and Systems, 101 (1999), 191-195.
9. B. Davvaz, Fuzzy Hυ-submodules, Fuzzy Sets and Systems, 117 (2001), 477-484.
10. B. Davvaz, T-fuzzy Hυ-subrings of an Hυ-ring, J. Fuzzy Math., 11 (2003), 215-224.
11. B. Davvaz, On Hυ-rings and fuzzy Hυ-ideals, J. Fuzzy Math., 6 (1998), 33-42.
12. B. Davvaz, Product of fuzzy Hυ-ideals in Hυ-rings, Korean J. Compu. Appl. Math., 8 (2001), 685-693.
13. Y. B. Jun, On (α,β)-fuzzy subalgebra of BGK/BCI-algebras, Bull. Korean Math. Soc, 42 (2005), 703-711.
14. W. J. Liu, Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets and Systems, 8 (1982), 133-139.
15. F. Marty, Sur une generalization de la notion de group, 8th Congress Math. Scandenaves, Stockholm, 1934, 45-49.
16. P. M. Pu and Y. M. Liu, Fuzzy topology I Neighborhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl., 76 (1980), 571-599.
17. A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35 (1971), 512-517.
18. T. Vougiouklis, Hyperstructures and their representations, Hadronic Press, Inc, 115, Palm Harber, USA, 1994.
19. T. Vougiouklis, The fundamental relation in hyperrings. The general hyperfield, in: Proc. 4th International Congress on Algebraic Hyperstructures and Applications, Xanthi, 1990, World Sci. Publishing, Teaneck, NJ, (1991), 203-211.
20. X. Yuan, C. Zhang and Y. Ren, Generalized fuzzy groups and, many-valued implications, Fuzzy Sets and Systems, 138 (2003), 205-211.
21. L. A. Zadeh, Fuzzy sets, Inform. Control, 8 (1965), 338-353.