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Journals / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 1

More general forms of generalized fuzzy bi-ideals in semigroups

MEHMET Ali Öztürk
Yunqiang YIN
Young Bae JUN
Pages
15–23
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Characteriza- tions of an (∈,∈∨ qk)-fuzzy bi-ideal in a semigroup S are discussed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:More general forms of the paper by O.
📊
Key Findings & Data:Yamak (General- ized fuzzy bi-ideals of semigroups, Soft Comput. 12, 1119–1124, 2008) are discussed.
💡
Conclusion & Impact:Characteriza- tions of an (∈,∈∨ qk)-fuzzy bi-ideal in a semigroup S are discussed.
🔬Design:Research Article
📍Scope:2008 Verileri
⚙️Variables:Domain Parameters

Abstract

More general forms of the paper by O. Kazanci and S. Yamak (General- ized fuzzy bi-ideals of semigroups, Soft Comput. 12, 1119–1124, 2008) are discussed. The notion of (∈,∈∨ qk)-fuzzy bi-ideals in a semigroup S is introduced, and several properties are investigated. Characteriza- tions of an (∈,∈∨ qk)-fuzzy bi-ideal in a semigroup S are discussed.

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Cite This Article

Öztürk, M. A., YIN, Y., JUN, Y. B. (2022). More general forms of generalized fuzzy bi-ideals in semigroups. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 1, 15–23. https://ajindex.com/articles/530513

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References (17)

  1. Bhakat, S. K. (6, G V q)-fuzzy normal, quasinormal and maximal subgroups, Fuzzy Sets and Systems 112, 299-312, 2000
  2. Bhakat, S. K. (GVq)-level subset, Fuzzy Sets and Systems 103, 529-533, 1999
  3. Bhakat, S.K. and Das, P. (e,€Vq)-fuzzy subgroup, Fuzzy Sets and Systems 80, 359-368, 1996
  4. Bhakat, S.K. and Das, P. Fuzzy subrings and ideals redefined, Fuzzy Sets and Systems 81, 383-393, 1996
  5. Bhakat, S. K. and Das, P. On the definition of a fuzzy subgroup, Fuzzy Sets and Systems 51, 235-241, 1992
  6. Hong, S. M., Jun, Y. B. and Meng, J. Fuzzy interior ideals in semigroups, Indian J. Pure Appl. Math. 26(9), 859-863, 1995
  7. Jun, Y. B. Generalizations of (e, E Vq)-fuzzy subalgebras in BCK/BCI-algebras, Comput. Math. Appl. 58, 1383-1390, 2009
  8. Jun, Y. B. Fuzzy subalgebras of type (a, (3) in BCK/BCI-algebras, Kyungpook Math. J. 47, 403-410, 2007
  9. Jun, Y. B. On (a, 0)-fuzzy subalgebras of BCK/BCI-algebras, Bull. Korean Math. Soc. 42, 703-711, 2005
  10. Jun, Y. B. and Song, S. Z. Generalized fuzzy interior ideals in semigroups, Inform. Sci. 176, 3079-3093, 2006
  11. Kazanci, O. and Yamak, S. Generalized fuzzy bi-ideals of semigroups, Soft Comput. 12, 1119-1124, 2008
  12. Kuroki, N. Fuzzy semiprime ideals in semigroups, Fuzzy Sets and Systems 8, 71-79, 1982
  13. Kuroki, N. On fuzzy ideals and fuzzy bi-ideals in semigroups, Fuzzy Sets and Systems 5, 203-215, 1981
  14. Kuroki, N. Fuzzy bi-ideals in semigroups, Comment. Math. Univ. St. Pauli 28, 17-21, 1979
  15. Mordeson, J.N., Malik, D.S. and Kuroki, N. Fuzzy Semigroups (Studies in Fuzziness and Soft Computing 131, Springer-Verlag, Berline, 2003)
  16. Pu, P. M. and Liu, Y. M. Fuzzy topology I, Neighborhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl. 76, 571-599, 1980
  17. Yin, Y. Q., Xu, D. and Li, H. X. The (e, € V q)-fuzzy subsemigroups and ideals of an (E, £ V q)-fuzzy semigroup, Southeast Asian Bull. Math. 33, 391-400, 2009.