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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