As of August 2024, International Journal "Notes on Intuitionistic Fuzzy Sets" is being indexed in Scopus.
Please check our Instructions to Authors and send your manuscripts to nifs.journal@gmail.com. Next issue: March 2025.

Issue:Atanassov’s intuitionistic fuzzy translations of intuitionistic fuzzy H-ideals in BCK/BCI-algebras

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Revision as of 17:25, 28 August 2024 by Vassia Atanassova (talk | contribs) (Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/19/1/32-47
Title of paper: Atanassov’s intuitionistic fuzzy translations of intuitionistic fuzzy H-ideals in BCK/BCI-algebras
Author(s):
Tapan Senapati
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore – 721 102, India
math.tapan@gmail.com
Monoranjan Bhowmik
Department of Mathematics, V. T. T. College, Midnapore – 721 101, India
mbvttc@gmail.com
Madhumangal Pal
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore – 721 102, India
mmpalvu@gmail.com
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 19, 2013, Number 1, pages 32—47
Download:  PDF (195  Kb, File info)
Abstract: In this paper, the concepts of intuitionistic fuzzy translation to intuitionistic fuzzy H-ideals in BCK/BCI-algebras are introduced. The notion of intuitionistic fuzzy extensions and intuitionistic fuzzy multiplications of intuitionistic fuzzy H-ideals with several related properties are investigated. Also the relationships between intuitionistic fuzzy translations, intuitionistic fuzzy extensions and intuitionistic fuzzy multiplications of intuitionistic fuzzy H-ideals are investigated.
Keywords: Intuitionistic fuzzy ideal, Intuitionistic fuzzy H-ideal, Intuitionistic fuzzy translation, Intuitionistic fuzzy extension, Intuitionistic fuzzy multiplication.
AMS Classification: 06F35, 03G25, 08A72
References:
  1. Ahmad, B. Fuzzy BCI-algebras, J. Fuzzy Math., Vol. 1, 1993, No. 2, 445–452.
  2. Atanassov, K. T. Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 20, 1986, No. 1, 87–96.
  3. Atanassov, K. T. More on intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 33, 1989, No. 1, 37–46.
  4. Atanassov, K. T. New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 61, 1994, No. 2, 137–142.
  5. Hu, Q. P., K. Iseki, On BCI-algebra satisfying (x ∗ y) ∗ z = x ∗ (y ∗ z), Math. Sem. Notes, Vol. 8, 1980, 553–555.
  6. Imai, Y., K. Iseki, On axiom system of propositional calculi, Proc. Japan Academy, Vol. 42, 1966, 19–22.
  7. Iseki, K. An algebra related with a propositional calculus, Proc. Japan Academy, Vol. 42, 1966, 26–29.
  8. Iseki, K., S. Tanaka, Ideal theory of BCK-algebras, Math. Japonica, Vol. 21, 1966, 351–356.
  9. Iseki, K., S. Tanaka, An introduction to the theory of BCK-algebras, Mathematica Japonica, Vol. 23, 1978, 1–26.
  10. Iseki, K. On BCI-algebras, Math. Seminar Notes (now Kobe Math. J.), Vol. 8, 1980, 125–130.
  11. Jun, Y. B. Closed fuzzy ideals in BCI-algebras, Mathematica Japonica, Vol. 38, 1993, 199–202.
  12. Jun, Y. B., K.H. Kim, Intuitionistic fuzzy ideals in BCK-algebras, Internat. J. Math. and Math. Sci., Vol. 24, 2000, No. 12, 839–849.
  13. Jun, Y. B. Translations of fuzzy ideals in BCK/BCI-algebras, Hacettepe Journal of Mathematics and Statistics, Vol. 40, 2011, No. 3, 349–358.
  14. Khalid, H. M., B. Ahmad, Fuzzy H-ideals in BCI-algebras, Fuzzy Sets and Systems, Vol. 101, 1999, No. 1, 153–158.
  15. Lee, K. J., Y. B. Jun, M. I. Doh, Fuzzy translations and fuzzy multiplications of BCK/BCI-algebras, Commun. Korean Math. Soc., Vol. 24, 2009, No. 3, 353–360.
  16. Liu, Y. L., J. Meng, Fuzzy ideals in BCI-algebras, Fuzzy Sets and Systems, Vol. 123, 2001, No. 2, 227–237.
  17. Meng, J. On ideals in BCK-algebras, Mathematica Japonica, Vol. 40, 1994, 143–154.
  18. Meng, J., Y.B. Jun, BCK-algebras, Kyung Moon Sa Co., Seoul, 1994.
  19. Meng, J., X. Guo, On fuzzy ideals in BCK-algebras, Fuzzy Sets and Systems, Vol. 149, 2005, No. 3, 509–525.
  20. Satyanarayana, B., U. B. Madhavi, R.D. Prasad, On intuitionistic fuzzy H-Ideals in BCK-algebras, International Journal of Algebra, Vol. 4, 2010, No. 15, 743–749.
  21. Satyanarayana, B., U.B. Madhavi, R.D. Prasad, On foldness of intuitionistic fuzzy H-Ideals in BCK-algebras, International Mathematical Forum, Vol. 5, 2010, No. 45, 2205–2221.
  22. Senapati, T., M. Bhowmik, M. Pal. Fuzzy translations of fuzzy H-ideals in BCK/BCI-algebras, (Communicated).
  23. Senapati, T., M. Bhowmik, M. Pal, B. Davvaz. Atanassov’s intuitionistic fuzzy translations of intuitionistic fuzzy subalgebras and ideals in BCK/BCI-algebras (Communicated).
  24. Xi, O. Fuzzy BCK-algebras, Mathematica Japonica, Vol. 36, 1991, 935–942.
  25. Zadeh, L. A. Fuzzy sets, Information and Control, Vol. 8, 1965, No. 3, 338–353.
  26. Zhan, J., Z. Tan, Characterization of doubt fuzzy H-ideals in BCK-algebras, Soochow Journal of Mathematics, Vol. 29, 2003, No. 3, 293–298.
  27. Zhan, J., Z. Tan, Fuzzy H-ideals in BCK-algebras, Southeast Asian Bull. Math., Vol. 29, 2005, No. 6, 1165–1173.
Citations:

The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.

Retrieved from "https://ifigenia.org/index.php?title=Issue:Atanassov’s_intuitionistic_fuzzy_translations_of_intuitionistic_fuzzy_H-ideals_in_BCK/BCI-algebras&oldid=12818"