Research Article
Anti Q-Fuzzy Hx Group and Its Lower Level Sub Hx Groups
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 6 - Issue 11 |
| Published: September 2010 |
| Authors: R.Muthuraj, K.H.Manikandan, M.S.Muthuraman, P.M.Sitharselvam |
10.5120/1117-1463
|
R.Muthuraj, K.H.Manikandan, M.S.Muthuraman, P.M.Sitharselvam . Anti Q-Fuzzy Hx Group and Its Lower Level Sub Hx Groups. International Journal of Computer Applications. 6, 11 (September 2010), 16-20. DOI=10.5120/1117-1463
@article{ 10.5120/1117-1463,
author = { R.Muthuraj,K.H.Manikandan,M.S.Muthuraman,P.M.Sitharselvam },
title = { Anti Q-Fuzzy Hx Group and Its Lower Level Sub Hx Groups },
journal = { International Journal of Computer Applications },
year = { 2010 },
volume = { 6 },
number = { 11 },
pages = { 16-20 },
doi = { 10.5120/1117-1463 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2010
%A R.Muthuraj
%A K.H.Manikandan
%A M.S.Muthuraman
%A P.M.Sitharselvam
%T Anti Q-Fuzzy Hx Group and Its Lower Level Sub Hx Groups%T
%J International Journal of Computer Applications
%V 6
%N 11
%P 16-20
%R 10.5120/1117-1463
%I Foundation of Computer Science (FCS), NY, USA
Abstract
In this paper, we redefine the definition of a fuzzy HX group and define a new algebraic structure of Q-fuzzy HX group and anti Q-fuzzy HX subgroup and some related properties are ivestigated. We establish the relation between Q-fuzzy HX group and anti Q-fuzzy HX group of a HX group . The purpose of this study is to implement the fuzzy set theory and group theory in anti Q-fuzzy HX subgroups. Characterizations of lower level subsets of an anti Q-fuzzy HX subgroup of a HX group are given.
References
- Kim.K.H., Yun.Y.B., on fuzzy R- subgroups of near rings, J.fuzzy math 8 (3) (2000) 549-558.
- Kim.K.H., Yun.Y.B., Normal fuzzy R- subgroups in near rings, Fuzzy sets systems 121 (2001) 341-345.
- Kim.K.H., on intuitionistic Q- fuzzy semi prime ideals in semi groups, Advances in fuzzy mathematics, 1 (1) (2006) 15-21.
- Li Hongxing, HX group, BESEFAL,33(1987), pp(31-37).
- Luo Chengzhong , Mi Honghai , Li Hongxing , Fuzzy HX group , BUSEFAL.
- Muthuraj.R., Sithar Selvam.P.M., Muthuraman.M.S., Anti Q-fuzzy group and its lower Level subgroups, International journal of Computer Applications (0975-8887),Volume 3- no.3, June 2010, 16-20.
- Muthuraj.R., Sridharan.M., , Muthuraman.M.S., and Sithar Selvam.P.M., Anti Q-fuzzy BG-idals in BG-Algebra, International journal of Computer Applications (0975-8887),Volume 4, no.11, August 2010, 27-31.
- Muthuraj.R., Sridharan.M., and Sithar Selvam.P.M., Fuzzy BG-ideals in BG-Algebra, International Journal of Computer Applications (0975-8887) Volume 2-No.1 may 2010.
- Osman kazanci, sultan yamark and serife yilmaz “On intuitionistic Q - fuzzy R-subgroups of near rings” International mathematical forum, 2, 2007 no. 59, 2899-2910.
- Palaniappan.N., Muthuraj.R., , Anti fuzzy group and Lower level subgroups, Antartica J.Math., 1 (1) (2004) , 71-76.
- Rosenfeld.A., fuzzy groups, J. math. Anal.Appl. 35 (1971), 512-517.
- Solairaju.A., and Nagarajan.R., “ Q- fuzzy left R- subgroups of near rings w.r.t T- norms”, Antarctica journal of mathematics.5, (1-2), 2008.
- Solairaju.A., and Nagarajan.R., A New Structure and Construction of Q-Fuzzy Groups, Advances in fuzzy mathematics, Volume 4 , Number 1 (2009) pp.23-29.
Index Terms
Keywords