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Intuitionistic Q-fuzzy Ideals of BG-Algebra

by S. R. Barbhuiya
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 94 - Number 16
Year of Publication: 2014
Authors: S. R. Barbhuiya
10.5120/16441-5915

S. R. Barbhuiya . Intuitionistic Q-fuzzy Ideals of BG-Algebra. International Journal of Computer Applications. 94, 16 ( May 2014), 8-14. DOI=10.5120/16441-5915

@article{ 10.5120/16441-5915,
author = { S. R. Barbhuiya },
title = { Intuitionistic Q-fuzzy Ideals of BG-Algebra },
journal = { International Journal of Computer Applications },
issue_date = { May 2014 },
volume = { 94 },
number = { 16 },
month = { May },
year = { 2014 },
issn = { 0975-8887 },
pages = { 8-14 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume94/number16/16441-5915/ },
doi = { 10.5120/16441-5915 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:17:49.299643+05:30
%A S. R. Barbhuiya
%T Intuitionistic Q-fuzzy Ideals of BG-Algebra
%J International Journal of Computer Applications
%@ 0975-8887
%V 94
%N 16
%P 8-14
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The concept of intuitionistic fuzzy subset was introduced by K. T. Atanassov and the notion of intuitionistic fuzzy ideals of BG-algebra was developed by A. Zarandi and A. Borumand Saeid in 2005. In this paper, for a set Q, the notion of intuitionistic Q-fuzzy ideals of BG-algebra is introduce and investigate some of their basic properties.

References
  1. Zadeh, L. A. 1965. Fuzzy sets, Inform. Control. vol. 8,338-353.
  2. Atanassov, K. T. 1986. Intutionistic fuzzy sets, Fuzzy sets and Systems. vol. 1,87-96
  3. Goguen, J. A. 1967. L-Fuzzy sets, J. Math. Anal. Appl. 18, 145 -174.
  4. Muthuraj,et al. 2010. Anti Q-fuzzy BG-ideals in BG- Algebra, International Journal of Computer Applications, (0975- 8887) Volume 4 No-11,August 2010.
  5. Kim, K. H. 2006. On intuitionistic Q-fuzzy semi prime ideals in semi group, Advances in fuzzy Mathematics1 (1), 15-21.
  6. Imai, Y. and Iseki, K. 1966. On Axiom systems of Propositional calculi 15, Proc, Japan Academy, 42 (1966)19-22.
  7. Neggers J. and Kim H. S. 2002. On B-algebras Math. Vensik, 54 (2002), 21-29.
  8. Kim C. B. and Kim H. S. 2008. on BG-algebras Demonstratio Mathematica,Vol-41 No-3,497-505.
  9. Zarandi ,A. and Borumand Saeid, A. 2005. On intutionistic fuzzy ideals of BG-algebras, World Academy of Sciences, Engineering and Technology, 5, 187-189.
  10. Senapati, T. Bhowmik, M. Pal, A. 2012. Intuitionistic fuzzifications of ideals in BG-algebras, Mathematical Aeterna,Vol. 2, no. 9,761-778.
Index Terms

Computer Science
Information Sciences

Keywords

BG-algebra subalgebra Q-fuzzy set intuitionistic Q-fuzzy set intuitionistic Q-fuzzy ideal.

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