International Journal of Fuzzy Logic and Intelligent Systems

  • 제8권3호
  • /
  • Pages.207-219
  • /
  • 2008
  • /
  • 1598-2645(pISSN)
  • /
  • 2093-744X(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
권호 표지
DOI QR코드

DOI QR Code

Intuitionistic Fuzzy Semigroups

  • Hur, Kul (Division of Mathematics and Informational Statistics, Wonkwang University, and Nanoscale Science and Fecchnology Institute) ;
  • Jang, Su-Youn (Division of Mathematics and Informational Statistics, Wonkwang University, and Nanoscale Science and Fecchnology Institute) ;
  • Lim, Pyung-Ki (Division of Mathematics and Informational Statistics, Wonkwang University, and Nanoscale Science and Fecchnology Institute)
  • 발행 : 2008.09.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

We give some properties of intuitionistc fuzzy left, right, and two-sided ideals and bi-ideals of a semigroup. And we characterize a regular semigroup, a semigroup that is a lattice of left(right) simple semigroups, a semigroup that is a semilattice of left(right) groups and a semigroup that is a semilattice of groups in terms of intuitionistic fuzzy ideals and intuitionistic fuzzy bi-ideals.

키워드

참고문헌

  1. Y.S.Ahn, K.Hur and D.S.Kim, Intuitionistic fuzzy quasi-ideals of asemigroup, International J. Pure and Applied Math, 23(2)(2005), 207-227
  2. K.Atanassove, Intuitionistic fuzzy sets, Fuzzy Set and Systems, 20(1986) 87-96 https://doi.org/10.1016/S0165-0114(86)80034-3
  3. Baldev Banerjee and Dhiren Kr. Basnet, Intuitionistic fuzzy subrings and ideals, J.Fuzzy Math 11(1)(2003), 139-155
  4. R.Biswas, Intuitionistic fuzzy subrings, Mathematical Forum x(1989), 37-46
  5. A.H.Clifford and G.B. Preston, The Algebraic Theory of Semi-groups, Vol I, AMS, Providence(1961)
  6. D.Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Set and Systems, 88(1997), 81-89 https://doi.org/10.1016/S0165-0114(96)00076-0
  7. D.Coker and A. Haydar Es, On fuzzy compactness in intuitionistic fuzzy topological spaces, J.Fuzzy Math. 3(1995), 899-909
  8. H.Gurcay, D.Coker and A.Haydar Es, On fuzzy continuity in intuitionistic fuzzy topological spaces, J.Fuzzy Math. 5(1997), 365-378
  9. K.Hur, S.Y.Jang and H.W.Kang, Intuitionistic 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
  10. K.Hur, H.W.Kang and H.K.Song, Intuitionistic fuzzy subgroups and subrings, Honam Math.J.25(1)(2003), 19-41
  11. K.Hur, S.Y.Jang and H.W.Kang, Intuitionistic fuzzy subgroups and cosets, Honam Math.J.26(1)(2004), 17-41
  12. K.Hur, Y.B.Jun and J.H.Ryou, Intuitionistic fuzzy topological groups, Honam Math.J.26(2)(2004), 163-192
  13. K.Hur, J.H.Kim and J.H.Ryou, Intuitionistic fuzzy topological spaces, J.Korea Soc. Math. Edu. Ser. B : Pure Appl. Math. 11(3)(2004), 243-265
  14. K.Hur, K.J.Kim and H.K.Song, Intuitionistic fuzzy ideals and bi-ideals, Honam Math.J.26(3)(2004), 309-330
  15. K.Hur, S.Y.Jang and H.W.Kang, Intuitionistic fuzzy normal subgroups and intuitionistic fuzzy cosets, Honam Math. J. 26(4)(2004), 559-587
  16. K.Hur, H.W.Kang and J.H.Ryou, Intuitionistic fuzzy generalized bi-ideals of a semigroup, International Mathematical Forum 1(6)(2006), 257-274
  17. K.Iseki, A characterization of regularsemigroups, Proc. Japan Acad. 32(1965), 676-677
  18. N.Kuroki, Two-sided purity on regular semigroups. Comment. Math. Univ. St. Paul. 24(1975), 21-26
  19. N.Kuroki, On fuzzy semigroups, Inform. Sci. 63(1991), 203-236
  20. S.Lajos, A note on semilattices of groups, Acta Sci. Math.(Szeged) 31(1970), 179-265
  21. S.Lajos, Theorems on (1;1)-ideals in semigroup II, Depart. of Mathematics, Karl Mark Univ. of Economics. Budapest(1975)
  22. S.J.Lee and E.P.Lee, The category of intuitionistic fuzzy topological spaces, Bull. Korean Math. Soc. 37(1)(2000), 63-76
  23. M.Petrich, Introduction to Semigroup, Charles E.Merrill(1973)
  24. T. Saito, On semigroups which are semi-lattice of left simple semigroups, Math. Japan.(18)(1973),95-97
  25. G.Szasz, Semigroups with idempotent ideals, Publ. Math. Debrecen 21(1974),115-117
  26. L.A.Zadeh, Fuzzy sets, Inoform. and Centrol 8(1965), 338-353 https://doi.org/10.1016/S0019-9958(65)90241-X

피인용 문헌

  1. CAYLEY INTUITIONISTIC FUZZY GRAPHS vol.32, pp.5_6, 2014, https://doi.org/10.14317/jami.2014.827