Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

ROUGHNESS OF GAMMA-SUBSEMIGROUPS/IDEALS IN GAMMA-SEMIGROUPS

  • Jun, Young-Bae (Department of Mathematics Education and RINS, Gyeongsang National University)
  • Published : 2003.08.01
Download PDF
⟨ Previous Next ⟩

Abstract

We discuss the roughness of $\Gamma$-subsemigroups and ideals/bi-ideals in $\Gamma$-semigroups.

Keywords

References

  1. Bull. Polish Acad. Sci. Math. v.42 Rough groups and rough subgroups R.Biswas;S.Nanda
  2. Inform. Sci. v.90 The lower and upper approximations in a fuzzy group N.Kuroki;P.P.Wang https://doi.org/10.1016/0020-0255(95)00282-0
  3. Int. J. Comput. Inform. Sci. v.11 no.5 Rough sets Z.Pawlak https://doi.org/10.1007/BF01001956
  4. Rough sets: theoretical aspects of reasoning about data
  5. Bull. Calcutta. Math. Soc. v.79 On Γ-semigroup-Ⅱ N.K.Saha
  6. Bull. Calcutta. Math. Soc. v.80 On Γ-semigroup-Ⅲ
  7. Bull. Calcutta. Math. Soc. v.78 On Γ-semigroup-Ⅰ M.K.Sen;N.K.Saha
  8. Handbook of applications and advances of the rough sets theory Intelligent decision support R.Slowinski(ed.)

Cited by

  1. Pawlak’s approximations in Γ-semihypergroups vol.60, pp.1, 2010, https://doi.org/10.1016/j.camwa.2010.04.028
  2. Rough sets induced by fuzzy ideals in BCK-Algebras vol.30, pp.4, 2016, https://doi.org/10.3233/IFS-152008
  3. On the structure of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in commutative rings vol.178, pp.5, 2008, https://doi.org/10.1016/j.ins.2007.10.005
  4. On rough Quasi- $$\Gamma $$ Γ -hyperideals in $$\Gamma $$ Γ -semihypergroups vol.26, pp.3-4, 2015, https://doi.org/10.1007/s13370-013-0207-x
  5. A short note on algebraic T-rough sets vol.178, pp.16, 2008, https://doi.org/10.1016/j.ins.2008.03.014
  6. On fuzzy interior Γ-hyperideals in ordered Γ-semihypergroups vol.32, pp.3, 2017, https://doi.org/10.3233/JIFS-16431
  7. The lower and upper approximations in a quotient hypermodule with respect to fuzzy sets vol.178, pp.10, 2008, https://doi.org/10.1016/j.ins.2008.01.006
  8. Fuzzy radicals and prime fuzzy ideals of ordered semigroups vol.178, pp.22, 2008, https://doi.org/10.1016/j.ins.2008.07.006
  9. Generalized Rough Γ-Hyperideals in Γ-Semihypergroups vol.2014, 2014, https://doi.org/10.1155/2014/658252
  10. Rough ideals under relations associated to fuzzy ideals vol.352-353, 2016, https://doi.org/10.1016/j.ins.2016.02.058
  11. A study on (fuzzy) quasi-Γ-hyperideals in ordered Γ-semihypergroups vol.32, pp.6, 2017, https://doi.org/10.3233/IFS-162117
  12. A short note on some properties of rough groups vol.59, pp.1, 2010, https://doi.org/10.1016/j.camwa.2009.06.024
  13. Rough approximations in a general approximation space and their fundamental properties vol.37, pp.3, 2008, https://doi.org/10.1080/03081070701250994
  14. Approximations in n-ary algebraic systems vol.12, pp.4, 2007, https://doi.org/10.1007/s00500-007-0174-y
  15. Prime ideals of gamma semigroups on weak nearness approximation spaces pp.1793-7183, 2019, https://doi.org/10.1142/S1793557119500803