Paper Titles in Periodical
International Journal of Advanced Research in Mathematics
ATMath Volume 3
Subscribe

Subscribe to our Newsletter and get informed about new publication regulary and special discounts for subscribers!

ATMath > ATMath Volume 3 > t-Intuitionistic Fuzzy Subalgebra of BG-Algebras
t-Intuitionistic Fuzzy Subalgebra of BG-Algebras
< Back to Volume

t-Intuitionistic Fuzzy Subalgebra of BG-Algebras

Full Text PDF

Abstract:

The aim of this paper is to introduced the notion of t-intuitionisticfuzzy subalgebra and t-intuitionistic fuzzy normal subalgebra of BG-algebras.We state and prove some theorems in t-intuitionistic fuzzy subalgebra andt-intuitionistic fuzzy normal subalgebra in BG-algebras. The homomorphicimage and inverse image are investigated in both t-intuitionistic fuzzysubalgebra and normal subalgebras.

Info:

Periodical:
Advanced Trends in Mathematics (Volume 3)
Pages:
16-24
DOI:
https://doi.org/10.18052/www.scipress.com/ATMath.3.16
Citation:
S.R. Barbhuiya, "t-Intuitionistic Fuzzy Subalgebra of BG-Algebras", Advanced Trends in Mathematics, Vol. 3, pp. 16-24, 2015
Online since:
June 2015
Authors:
S.R. Barbhuiya
Keywords:
BG-Algebra, Subalgebra, t-Intuitionistic Fuzzy Normal Subalgebra, t-Intuitionistic Fuzzy Set, t-Intuitionistic Fuzzy Subalgebra
Export:
RIS, BibTeX, Text
Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

S. S. Ahn and H. D. Lee, Fuzzy subalgebras of BG-algebras, Commun Korean Math. Soc 19(2) (2004) 243-251.

K. T. Atanassov, Intutionistic fuzzy sets, Fuzzy sets and Systems. vol. 1(1986), 87-96.

K. T. Atanassov, More on intuitionistic Fuzzy Sets , Fuzzy sets and systems, 33(1) (1989), 37-45.

K. T. Atanassov , On Intuitionistic Fuzzy Sets Theory, Published by Springer-Verlag Berlin Heidelberg, (2012).

K. T. Atanassov, Intuitionistic Fuzzy Sets, VII ITKR's Session, Sofia, (Deposed in Central Sci. Techn. Library of Bulg. Acad. of Sci., 1697/84) (June 1983)(in Bulg. ).

Y. Imai and K. Iseki, On Axiom systems of Propositional calculi XIV, Proc, Japan Academy, 42 (1966)19-22.

C. B. Kim and H.S. Kim, on BG-algebras, Demonstratio Mathematica, 41(3) 497-505.

J. Neggers and H. S Kim, On B-algebras, Math. Vensik, 54 (2002), 21-29.

T. Senapati, M. Bhowmik, M. Pal, Intuitionistic fuzzifications of ideals in BG-algebras, Mathematical Aeterna 2 (9) (2012) 761-778.

P. K. Sharma, t-Intuitionistic Fuzzy Quotient Group, Advances in Fuzzy Mathematics, 7(1) (2012), 1-9.

P. K. Sharma, t-Intuitionistic Fuzzy Subrings, IJMS, 11(3-4) (2012), 265-275.

L. A. Zadeh, Fuzzy sets, Information and Control (1965), 338-353.

Show More Hide
Cited By:

[1] H. Alolaiyan, U. Shuaib, L. Latif, A. Razaq, "t-Intuitionistic Fuzzification of Lagrange’s Theorem of t-Intuitionistic Fuzzy Subgroup", IEEE Access, Vol. 7, p. 158419, 2019

DOI: https://doi.org/10.1109/ACCESS.2019.2950167