Open Access Open Access  Restricted Access Subscription Access

Fuzzy Translation and Fuzzy Multiplication in BF/BG-algebras


Affiliations
1 Department of Mathematics, SBK College, Aruppukottai-626 101, Tamilnadu, India
2 School of Advanced Sciences, VIT University, Vellore-632 014, Tamilnadu, India
 

This paper deals with the notion of fuzzy translation and fuzzy multiplication on BF-algebras and investigates some of their basic properties. AMS Subject Classification 08A72, 03E72, 03F55, 03G25.

Keywords

BF-algebra, BG-algebra, Fuzzy BF-subalgebra, Fuzzy Translation, Fuzzy Multiplication, Fuzzy Magnified Translation
User

  • Walendziak (2007). On BF-Algebras, Mathematica Slovaca, vol 57(2), 119–128.
  • Saeid A B, and Rezvani M A (2009). On fuzzy BF-algebras, International Mathematical Forum, vol 4(1), 13–25.
  • Imai Y, and Iseki K (1966). On axiom systems of propositional calculi, XIV Proceedings of the Japan Academy, vol 42, No. 1, 19–22.
  • Jun Y B, Roh E H et al. (1998). On BH-algebras, Scientiae Mathematicae Japonicae, vol 1(3), 347–354.
  • Lee K J, Jun Y B et al. Fuzzy translations and fuzzy multiplications of BCK/BCI-Algebras, Communicat-ions of the Korean Mathematical Society, vol 24, No. 3, 353–360.
  • Lekkoksung S (2012). On fuzzy magnified translation in ternary hemirings, International Mathematical Forum, vol 7, No. 21, 1021–1025.
  • Neggers, and Kim H S (2002). On B_Algebrs, Math. Vensik, vol 54(1–2), 21–29.
  • Zadeh L A (1965). Fuzzy Sets, Information and Control, vol 8(3), 338–353.

Abstract Views: 517

PDF Views: 0




  • Fuzzy Translation and Fuzzy Multiplication in BF/BG-algebras

Abstract Views: 517  |  PDF Views: 0

Authors

M. Chandramouleeswaran
Department of Mathematics, SBK College, Aruppukottai-626 101, Tamilnadu, India
P. Muralikrishna
School of Advanced Sciences, VIT University, Vellore-632 014, Tamilnadu, India
S. Srinivasan
School of Advanced Sciences, VIT University, Vellore-632 014, Tamilnadu, India

Abstract


This paper deals with the notion of fuzzy translation and fuzzy multiplication on BF-algebras and investigates some of their basic properties. AMS Subject Classification 08A72, 03E72, 03F55, 03G25.

Keywords


BF-algebra, BG-algebra, Fuzzy BF-subalgebra, Fuzzy Translation, Fuzzy Multiplication, Fuzzy Magnified Translation

References





DOI: https://doi.org/10.17485/ijst%2F2013%2Fv6i9%2F37135