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

Anti Q-Fuzzy Hx Group and Its Lower Level Sub Hx Groups

by R.Muthuraj, K.H.Manikandan, M.S.Muthuraman, P.M.Sitharselvam
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 6 - Number 11
Year of Publication: 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 },
issue_date = { September 2010 },
volume = { 6 },
number = { 11 },
month = { September },
year = { 2010 },
issn = { 0975-8887 },
pages = { 16-20 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume6/number11/1117-1463/ },
doi = { 10.5120/1117-1463 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T19:55:07.304133+05:30
%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
%J International Journal of Computer Applications
%@ 0975-8887
%V 6
%N 11
%P 16-20
%D 2010
%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
  1. Kim.K.H., Yun.Y.B., on fuzzy R- subgroups of near rings, J.fuzzy math 8 (3) (2000) 549-558.
  2. Kim.K.H., Yun.Y.B., Normal fuzzy R- subgroups in near rings, Fuzzy sets systems 121 (2001) 341-345.
  3. Kim.K.H., on intuitionistic Q- fuzzy semi prime ideals in semi groups, Advances in fuzzy mathematics, 1 (1) (2006) 15-21.
  4. Li Hongxing, HX group, BESEFAL,33(1987), pp(31-37).
  5. Luo Chengzhong , Mi Honghai , Li Hongxing , Fuzzy HX group , BUSEFAL.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. Palaniappan.N., Muthuraj.R., , Anti fuzzy group and Lower level subgroups, Antartica J.Math., 1 (1) (2004) , 71-76.
  11. Rosenfeld.A., fuzzy groups, J. math. Anal.Appl. 35 (1971), 512-517.
  12. 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.
  13. 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

Computer Science
Information Sciences

Keywords

Fuzzy set Q-fuzzy set Fuzzy subgroup Q-fuzzy subgroup Anti-Q fuzzy subgroups Anti-Q fuzzy HX subgroups