DOI QR코드

DOI QR Code

ON FUZZY SUBHYPERNEAR-RINGS OF HYPERNEAR-RINGS WITH t-NORMS

  • Lee, Jong Geol (Department of Mathematics Chungju National University) ;
  • Kim, Kyung Ho (Department of Mathematics Chungju National University)
  • Received : 2010.01.11
  • Accepted : 2010.04.23
  • Published : 2010.06.30

Abstract

In this paper, we investigate some properties of T-fuzzy subhypernear-rings of a hypernear-ring.

Keywords

References

  1. M. T. Abu Osman, On some product of fuzzy subgroups, Fuzzy Sets and Sys, 24, (1987), 79-86. https://doi.org/10.1016/0165-0114(87)90115-1
  2. S. Abou-Zaid, On fuzzy subnear-rings and ideals, Fuzzy Sets and Sys. 44, (1991), 139-146. https://doi.org/10.1016/0165-0114(91)90039-S
  3. R. Ameri and M. M. Zahedi, T-fuzzy hyperalgebraic systems, AFSS 2002, LNAI 2275, (2002), 509-514.
  4. J.M. Anthony and H. Shewood, Fuzzy groups redifined, 69 (1979), 124-130. https://doi.org/10.1016/0022-247X(79)90182-3
  5. P. Corsini and V. Leoreanu, Applications of hyperstructure theory, Advanced in Mathematics, Vol. 5, Klower Academic Publishers, 2003.
  6. V. Dasic, Hypernear-rings, Proceedings of the Forth International Congress on A. H. A., Xanthi, Greece, World Scientific, (1990), 75-85.
  7. B. Davvaz, On hypernear-rings and fuzzy hyperideals, The Journal of Fuzzy Mathematics, 7 (1999), no. 3, 745-753.
  8. B. Davvaz, $H_v$-Near-Rings, Math. Japonica, 52 (2000), no. 2, 387-392.
  9. B. Davvaz, T-fuzzy $H_v$-subrings of an $H_v$-ring, The Journal of Fuzzy Mathematics, 11 (2003), no. 1, 215-224.
  10. B. Davvaz, Fuzzy R-subgroups with thresholds of near-ings and implication operators, Soft Computing (to appear) https://doi.org/10.1007/s00500-007-0255-y
  11. V. M. Gontineac, On hypernear-rings and H-hypergroups, Proceedings of the Forth International Congress on A. H. A. 1993, Hadronic Press, Inc., USA, (1994), 171-179.
  12. K. H. Kim, B. Davvaz and E. H. Roh, On Hyper R-subgroups of Hypernear-rings, Scientiae Mathematicae Japoniciae (submitted).
  13. K. H. Kim, B. Davvaz and E. H. Roh, On fuzzy hyper R-subgroups of hypernear- rings, Italian Journal of Pure and Applied Mathematics, 20 (2006), 177-192.
  14. M. Krasner, A class of hyperrings and hyperfields, Int. J. Math. and Math. Sci. 2 (1983), 307-312.
  15. O. Kazanci, S. Yamark and S. Yilmaz, On intuitionistic Q-fuzzy R-subgroups of Near-rings, International Mathematical Forum, 2 (No. 59) (2007), 2899-2910. https://doi.org/10.12988/imf.2007.07264
  16. F. Matry, Sur une generalization de la notion de groupe, $8^{iem}$ congress Math. Scandenaves, Stoockholm, (1934), 45-49.
  17. G. Pllz, Near-rings, North-Holland Publ., Co, 1977.
  18. A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35 (1971), 512-517. https://doi.org/10.1016/0022-247X(71)90199-5
  19. B. Schweizer and A. Sklar, Statistical metric spaces, Pacific J. Math. 10 (1960), 313-334. https://doi.org/10.2140/pjm.1960.10.313
  20. T. Vougiouklis, Hyperstructures and their representations, Hadronic Press, Inc. 115, Palm Harber, USA, 1994.
  21. S. Willard, General Topology, Addison-Wesley Publ., USA, 1970.
  22. Y. H. Yon, On intuitionistic fuzzy R-subgroups of near-rings, Soochow Journal of Mathematics 27 (3), (2001), 243-253.
  23. L. Zadeh, Fuzzy sets, Inform. and Contral 8, (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X