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International Journal of Computational Intelligence Systems Volume 8, 2015 - Issue 2
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Original Articles

Doubt Atanassov's intuitionistic fuzzy Sub-implicative ideals in BCI-algebras

Tripti BejDepartment of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore – 721 102, India. E-mails: [email protected], [email protected]
&
Madhumangal PalDepartment of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore – 721 102, India. E-mails: [email protected], [email protected]
Pages 240-249 | Received 12 May 2014, Accepted 16 Sep 2014, Published online: 23 Dec 2014

References

  • L. A. Zadeh, “Fuzzy sets,” Inform. and Control, 8, 338–353 (1965).
  • K. T. Atanassov, “Intuitionistic fuzzy sets,” Fuzzy Sets and Systems, 20, 87–96 (1986).
  • K. T. Atanassov, “New operations defined over the intuitionistic fuzzy sets,” Fuzzy Sets and Systems, 61, 137–142 (1994).
  • Y. Imai and K. Iśeki, “On axiom systems of propositional calculi,” Proc. Japan Academy, 42, 19–22 (1966).
  • K. Iśeki, “An algebra related with a propositional calculus,” Proc. Japan Academy, 42, 26–29 (1966).
  • K. Iśeki, “On BCI-algebras,” Math. Seminar Notes, 8, 125–130 (1980).
  • O. G. Xi, “Fuzzy BCK-algebras,” Math. Japonica, 36, 935–942 (1991).
  • Y. B. Jun and J. Meng, “Fuzzy P-ideals in BCI-algebras,” Math. Japonica, 40(2): 271–282 (1994).
  • Y. L. Liu and J. Meng, “Sub-implicative ideals and sub-commutative ideals of BCI-algebras,” Soochow J. Math, 26(4): 441–453 (2000).
  • Y. B. Jun, “Fuzzy sub-implicative ideals of BCI-algebras,” Bull. Korean Math, 39(2): 185–198 (2002).
  • N. Palaniappan, P. S. Veerappan and R. Devi, “Intuitionistic fuzzy sub implicative ideals and intuitionistic fuzzy sub commutative ideals of BCI-algebras,” Asian Journal of Current Engineering and Maths, 1(6): 358–362 (2012).
  • A. Solairaju and R. Begam, “Intuitionistic fuzzifications of P-ideals in BCI-algebras,” Int. J. Math Research, 4(2): 133–144 (2000).
  • S. M. Mostafa, R. A. K. Omar and A. I. Marie, “Anti fuzzy sub-implicative ideals of BCI-algebras,” Journal of American Science, 7(11): 274–282 (2011).
  • Z. Jianming and T. Zhisong, “Doubt fuzzy BCI-algebras,” Int. J. Math and Math. Sci., 30(1): 49–56 (2002).
  • T. Senapati, M. Bhowmik and M. Pal, “Atanassov's intuitionistic fuzzy translations of intuitionistic fuzzy H -ideals in BCK/BCI-algebras,” Notes on Intuitionistic Fuzzy Sets, 19(1): 32–47 (2013).
  • T. Senapati, M. Bhowmik and M. Pal, “Interval-valued intuitionistic fuzzy BG-subalgebras,” The Journal of Fuzzy Mathematics, 20(3): 707–720 (2012).
  • T. Senapati, M. Bhowmik and M. Pal, “Interval-valued intuitionistic fuzzy closed ideals of BG-algebra and their products,” Int. J. Fuzzy Logic Systems, 2(2): 27–44 (2012).
  • T. Senapati, M. Bhowmik and M. Pal, “Intuitionistic fuzzifications of ideals in BG-algebras,” Mathematica Aeterna, 2(9): 761–778 (2012).
  • T. Senapati, M. Bhowmik and M. Pal, “Fuzzy closed ideals of B-algebras,” Int. J. Computer Science Engineering and Technology, 1(10): 669–673 (2011).
  • T. Bej and M. Pal, “Doubt intuitionistic fuzzy H -ideals in BCK/BCI-algebras,” Annals of Fuzzy Mathematics and Informatics, 8(4): 593–605 (2014).
  • Y. B. Jun and K. H. Kim, “Intuitionistic fuzzy ideals of BCK-algebras,” Int. J. Math and Math. Sci., 24, 839–849 (2000).
  • J. Meng, “On ideals in BCK-algebras,” Math. Japonica, 40, 143–154 (1994).

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