CFP last date
20 May 2024
Call for Paper
June Edition
IJCA solicits high quality original research papers for the upcoming June edition of the journal. The last date of research paper submission is 20 May 2024

Submit your paper
Know more
Reseach Article

Article:Some Characterisation of Anti Q-L-Fuzzy l-Group

by R.Muthuraj, M.S.Muthuraman, M.Sridharan
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 6 - Number 4
Year of Publication: 2010
Authors: R.Muthuraj, M.S.Muthuraman, M.Sridharan
10.5120/1065-1391

R.Muthuraj, M.S.Muthuraman, M.Sridharan . Article:Some Characterisation of Anti Q-L-Fuzzy l-Group. International Journal of Computer Applications. 6, 4 ( September 2010), 35-47. DOI=10.5120/1065-1391

@article{ 10.5120/1065-1391,
author = { R.Muthuraj, M.S.Muthuraman, M.Sridharan },
title = { Article:Some Characterisation of Anti Q-L-Fuzzy l-Group },
journal = { International Journal of Computer Applications },
issue_date = { September 2010 },
volume = { 6 },
number = { 4 },
month = { September },
year = { 2010 },
issn = { 0975-8887 },
pages = { 35-47 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume6/number4/1065-1391/ },
doi = { 10.5120/1065-1391 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T19:54:35.829561+05:30
%A R.Muthuraj
%A M.S.Muthuraman
%A M.Sridharan
%T Article:Some Characterisation of Anti Q-L-Fuzzy l-Group
%J International Journal of Computer Applications
%@ 0975-8887
%V 6
%N 4
%P 35-47
%D 2010
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we introduce the notion of anti Q-L-fuzzy ℓ-group, anti Q-L-fuzzy ℓ-ideals with values in a complete lattice L which is infinite meet distributive, and investigate some of its properties.

References
  1. S. Abou-zaid , On fuzzy subnear rings and ideals, fuzzy sets and systems, 44,139-148 (1991).
  2. Haci Aktas , On fuzzy relation and fuzzy quotient groups, International Journal of computational cognition, Vol.2, No2, 71-79, (2004).
  3. Bhakat .S.K, and Das. P, Fuzzy subalgebras of a universal algebra, Bull. Cal.Math. Soc, 85, 79-92 (1993).
  4. Garrett Birkhof, Lattice Theory, American Mathematical Society Colloquium publications, Volume XXV.
  5. Laszlo Filep , Study of fuzzy algebras and relations from a general view point, Acta Mathematica academiae Paedagogocae Nyiregyhaziensis Tamus 14, 49-55 .
  6. L. Fuchs , Partially Ordered Algebraic Systems, Pergamon Press, 1963.
  7. J.A. Goguen , L-fuzzy sets, J.Math.Anal.Appl. 18, 145-174 (1967).
  8. Y.B. Jun , On fuzzy prime ideals of -rings, Soochow J.Math. 21, 41-48 (1995).
  9. A.K. Katsaras and D.B. Liu , Fuzzy vector spaces and fuzzy topological vector spaces, J. Math. Anal. Appl. 58, 135-146 (1977).
  10. Ath. Kehagias , The lattice of fuzzy intervals and sufcient conditions for its dis-tributivity, June 11, 2005.
  11. A.Solairaju and R.Nagarajan , A New Structure and Construction of Q-Fuzzy Groups, Advances in fuzzy mathematics, Volume 4 , Number 1 (2009) pp.23-29.
  12. N. Kuroki , On fuzzy ideals and fuzzy bi-ideals in semigroups, Fuzzy sets and systems, 5, 203-215 (1981).
  13. Wang-Jin Liu , Fuzzy invariant subgroups and fuzzy ideals, Fuzzy sets and systems, 8, 133-139 (1982).
  14. D.S. Malik and J.N. Mordeson , Extensions of fuzzy subrings and fuzzy ideals, Fuzzy sets and systems, 45, 245-251 (1992).
  15. John N Mordeson and D.S. Malik , Fuzzy Commutative Algebra, World Scientific publishing. Co.pvt . Ltd.
  16. T.K. Mukherjee and M.K. sen , On fuzzy ideals of a ring1, Fuzzy sets and systems, 21, 99-104 (1987).
  17. V. Murali , Lattice of fuzzy algebras and closure systems in I X, Fuzzy sets and systems 41, 101-111 (1991).
  18. A. Rosenfeld , Fuzzy groups, J.Math.Anal.Appl. 35, 512 - 517 (1971).
  19. K.L.N. Swamy and U.M. Swamy : Fuzzy Prime ideals of rings, J. Math.Anal.Appl, 134, 94-103 (1988).
  20. U.M. Swamy and D. Viswanadha Raju , Algebraic fuzzy systems, Fuzzy sets and systems 41, 187-194 (1991).
  21. L.A. Zadeh , Fuzzy sets, Inform and control, 8, 338-353 (1965).
  22. Zhang Yue , Prime L-fuzzy ideals and Primary L- fuzzy ideals, Fuzzy sets and systems, 27, 345-350 (1988).
  23. G.S.V.Satya Saibaba , Fuzzy Lattice Ordered Groups, Southeast Asian Bulletin of Mathematics, 32, 749-766 (2008).
Index Terms

Computer Science
Information Sciences

Keywords

Fuzzy set Q-fuzzy set anti L-fuzzy sub ℓ-group anti Q-L-fuzzy sub ℓ-group anti Q-L-fuzzy ℓ-ideal