Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
권호 표지
DOI QR코드

DOI QR Code

Intuitionistic fuzzy ideals in Regular duo ring

  • Published : 2007.02.25
Download PDF
⟨ Previous Next ⟩

Abstract

The aim of this paper is to characterise regular duo ring R by using the concept of intuitionistic fuzzy left(right,hi,quasi) ideals of R.

Keywords

References

  1. Y. S. Ahn, K. Hur and D. S. Kim, The lattice of intuitionistic fuzzy ideals of a ring, J. Appl. Math. Comput. 19 (2005), 551-572
  2. K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986),87-96
  3. K. T. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems 61 (1994),137-142 https://doi.org/10.1016/0165-0114(94)90229-1
  4. K. T. Atanassov, Intuitionistic fuzzy sets. Theory and applications, Studies in Fuzziness and Soft Computing, 35. Heidelberg; Physica- Verlag 1999
  5. B. Banerjee and D. Kr. Basnet, Intuitionistic fuzzy subrings and ideals, J. Fuzzy Math. 11(1) (2003), 139-155
  6. B. Davvaz, W. A. Dudek and Y B. Jun, lntuitionistic fuzzy Hv-submodules, Inform. Sci. 176 (2006), 285-300 https://doi.org/10.1016/j.ins.2004.10.009
  7. K. Hur, S. Y Jang and H. W. Kang, Intuitionisticfuzzy ideals of a ring, J. Korea Soc. Math. Educ. Ser. B: Pure Appl. Math. 12 (2005), 193-209
  8. K. Hur, H. W. Kang and H. K. Song, Intuitionistic fuzzy subgroups and sub rings, Honam Math. J. 25 (2003), 19-41
  9. K. Hur, J.H. Ryou and H. K. Song, t-Intuitionistic fuzzy subgroups and sub rings, 퍼지 및 지능시스템학회 13(5) (2003), 627-634
  10. K. Hur, S. Y J ang and H. W. Kang, Intuition is tic fuzzy subgroupoids, International Journal of Fuzzy Logic and Intelligent Systems 3(1) (2003), 72-77 https://doi.org/10.5391/IJFIS.2003.3.1.072
  11. Y.B.Jun and C.H.park,lntrinsic product of intuition istic fuzzy sub rings/ideals in rings, Honam Math. J.(to appear)
  12. YBJun and C.H.park,lntuitionistic fuzzy ideals in intra-regular ring Submitted to Sci.Math.J,
  13. O. Steinfield, Quasi-ideals in Rings and Semigroups, Akad,Kaido,Budapest (1978)
  14. L. A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965),338-353 https://doi.org/10.1016/S0019-9958(65)90241-X