CFP last date
20 January 2025
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