Issue:(∈, ∈∨q)-Intuitionistic fuzzy ideals of BCK/BCI-algebras

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http://ifigenia.org/wiki/issue:nifs/21/1/24-42

Title of paper: (∈, ∈∨q)-Intuitionistic fuzzy ideals in BCK/BCI-algebras Author(s): S. R. Barbhuiya Department of Mathematics, Srikishan Sarda College, Hailakandi, 788151, Assam, India saidurbarbhuiya@gmail.com Published in: "Notes on IFS", Volume 21, 2015, Number 1, pages 24—42 Download:  PDF (278  Kb, File info) Abstract: In this paper, we introduced the concept of (∈, ∈∨q)-Intuitionistic fuzzy ideals of BCK-algebras. Characterizations of (∈, ∈∨q)-Intuitionistic fuzzy ideals are given and condition for (∈, ∈∨q)-Intuitionistic fuzzy ideals to be an (∈, ∈)-Intuitionistic fuzzy ideals are established. Cartesian product and intersection of two (∈, ∈∨q)-Intuitionistic fuzzy ideals are also discussed. Homomorphic image and pre-image of (∈, ∈∨q)-Intuitionistic fuzzy ideals are investigated. Keywords: BCK-algebra, Fuzzy ideal, (∈, ∈∨q)-fuzzy ideal, (∈, ∈∨q)-intuitionistic fuzzy ideal, Homomorphism. AMS Classification: 06F35, 03G25, 03E72. References: Atanassov, K. T. (1986) Intuitionistic fuzzy sets, Fuzzy sets and Systems. 20(1), 87–96. Basnet, D. K., & Singh, L. B. (2011) (∈, ∈∨q)-fuzzy ideal of BG-algebra. International Journal of Algebra, 5(15), 703–708. Basnet, D. K. (2010) (α,β)-cut of Intuitionistic Fuzzy Ideals, Notes on Intuitionistic Fuzzy Sets, 16(3), 22–27. Bhakat, S. K., & Das, P. (1996) (∈, ∈∨q)-fuzzy subgroup. Fuzzy sets and systems, 80, 359–368. Bhakat, S. K., & Das, P. (1999) (∈∨q)-level subset, Fuzzy sets and systems, 103(3), 529–533. Imai, Y. & Iseki, K. (1966) On axiom systems of propositional calculi XIV. Proc. Japan Academy, 42, 19–22. Kim, C. B. & Kim, H. S. (2008) On BG-algebras. Demonstratio Mathematica, 41, 497–505. Neggers, J., Kim, H. S. (2002) On B-algebras. Math. Vesnik, 54, 21–29. Senapati, T., Bhowmik, M., & Pal, M. (2012) Intuitionistic fuzzifications of ideals in BG-algebras. Mathematical Aeterna. 2(9), 761–778. Yun, Y. B. (2004) On (α, β)-Fuzzy ideals of BCK/BCI–algebras. Scientiae Mathematicae Japonicae Online e-2004, 101–105. Yun, Y. B., & Kim, K. H. (2000) Intuitionistic fuzzy ideals of of BCK–algebras. Int. J. Math & Math Sci. 24(12), 839–819. Zadeh, L. A. (1965) Fuzzy sets. Information and Control. 8, 338–353. Zarandi, A., & Saeid A. B. (2005) On intuitionistic fuzzy ideals of BG-algebras. World Academy of Sciences Engineering and Technology, 5, 187–189. Citations: Issue:(∈, ∈∨q)-Intuitionistic fuzzy prime ideals of BCK–algebras ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.