International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Intuitionistic Fuzzy Subgroups and Level Subgroups

  • Ahn Tae-Chon (School of Electrical Electronic and Information Engineering Wonkwang University) ;
  • Hur Kul (Division of Mathematics and Informational Statistic Wonkwang University) ;
  • Jang Kyung-Won (School of Electrical Electronic and Information Engineering Wonkwang University)
  • Published : 2006.09.01
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Abstract

We introduce the concept of level subgroups of an intuitionistic fuzzy subgroup and study some of it's properties. These level subgroups in turn play an important role in the characterization of all intuitionistic fuzzy subgroup of a prime cyclic group.

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References

  1. K.Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1986), 87-96 https://doi.org/10.1016/S0165-0114(86)80034-3
  2. Baldev Banerjee and Dhiren Kr. Basnet, Intuitionistic fuzzy subrings and ideals, J. Fuzzy Mathematics 11(1) (2003), 139-155
  3. P.Bhattacharya, Fuzzy subgroups: Some characterizations, J. Math. Anal. Appl.128(1987), 241-252 https://doi.org/10.1016/0022-247X(87)90228-9
  4. R.Biswas, Intuitionistic fuzzy subgroups, Mathematical Forum x(1989) 37-46
  5. D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88(1997), 81-89 https://doi.org/10.1016/S0165-0114(96)00076-0
  6. D. Coker and A. Haydar Es, On fuzzy compactness in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 3 (1995), 899-909
  7. P. S.Das, Fuzzy groups and level subgroups, J. Math. Anal. Appl, 84 (1981), 264-269 https://doi.org/10.1016/0022-247X(81)90164-5
  8. V.N. Dixit, R.Kumar and N. Ajmal, Level subgroups and union of fuzzy subgroups, Fuzzy sets and systems 37 (1990), 359-371 https://doi.org/10.1016/0165-0114(90)90032-2
  9. V.N.Dxit, S.K.Bhambri and P.Kumar, Union of fuzzy subgroups, Fuzzy Sets and Systems 78 (1996), 121-123 https://doi.org/10.1016/0165-0114(95)00091-7
  10. H.Gurcay, D. Coker and A.Haydar Es, On fuzzy continuity in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 5 (1997), 365-378
  11. K Hur, H.W.Kang and H.K.Song, Intuitionistic fuzzy subgroups and subrings, Honam Mathematical J. 25 (1) (2003), 19-41
  12. 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
  13. K.Hur, J.H.Kim and J.H.Ryou, Intuitionistic fuzzy topological spaces, J.Korea Soc. Math. Educ. Ser. B : Pure Appl. Math. 11 (2) (2004), 243-265
  14. K.Hur, S.Y.Jang and H.W.Kang, Intuitionistic fuzzy subgroups and cosets, Honam Mathematical J. 26(1) (2004), 17-41
  15. K.Hur, Y.B.Jun and J.H.Ryou, Intuitionistic fuzzy topological groups, Honam Math. J. 26(2) (2004),163-192
  16. 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
  17. S.J.Lee and K.P.Lee, The category of intuitionistic fuzzy topological spaces, Bull. Korean Math. Soc. 37(1)(2000), 63-76
  18. Wang-jin Liu, Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets and Systems 8(1982), 133-139 https://doi.org/10.1016/0165-0114(82)90003-3
  19. A.Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35(1971), 512-517 https://doi.org/10.1016/0022-247X(71)90199-5
  20. L.A.Zadeh, Fuzzy sets, Inform. and Control 8(1965), 338-353 https://doi.org/10.1016/S0019-9958(65)90241-X