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Reseach Article

On Bipolar Anti Q- Fuzzy Groups

by A.Solairaju, R.Nagarajan, P.Muruganantham, M.Geethalakshmi
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 15 - Number 6
Year of Publication: 2011
Authors: A.Solairaju, R.Nagarajan, P.Muruganantham, M.Geethalakshmi
10.5120/1951-2115

A.Solairaju, R.Nagarajan, P.Muruganantham, M.Geethalakshmi . On Bipolar Anti Q- Fuzzy Groups. International Journal of Computer Applications. 15, 6 ( February 2011), 30-34. DOI=10.5120/1951-2115

@article{ 10.5120/1951-2115,
author = { A.Solairaju, R.Nagarajan, P.Muruganantham, M.Geethalakshmi },
title = { On Bipolar Anti Q- Fuzzy Groups },
journal = { International Journal of Computer Applications },
issue_date = { February 2011 },
volume = { 15 },
number = { 6 },
month = { February },
year = { 2011 },
issn = { 0975-8887 },
pages = { 30-34 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume15/number6/1951-2115/ },
doi = { 10.5120/1951-2115 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:03:28.113460+05:30
%A A.Solairaju
%A R.Nagarajan
%A P.Muruganantham
%A M.Geethalakshmi
%T On Bipolar Anti Q- Fuzzy Groups
%J International Journal of Computer Applications
%@ 0975-8887
%V 15
%N 6
%P 30-34
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we apply the notion of bipolar-valued Q- fuzzy set to groups. We introduce the concept of bipolar anti Q- fuzzy groups / anti Q-fuzzy d-ideals of groups and investigate several properties. We give relations between a bipolar anti Q-fuzzy group and bipolar anti Q-fuzzy d-ideal. We provide a condition for a bipolar anti Q- fuzzy groups to be a bipolar anti Q- fuzzy d-ideal. We also give characterizations of bipolar anti Q- fuzzy ideal. We consider the concept of strongest bipolar anti Q- fuzzy relations on bipolar anti Q-fuzzy d-ideals of a group and discuss some related properties.

References
  1. M. Akram and K.H. Dar, ‘On fuzzy d-algebras’, Punjab University Journal of mathematics, 37(2005), 61-76.
  2. Dubois and H. Prade, Fuzzy sets and Systems; theory and applications, Academic Press, 1980.
  3. Y.B. Jun and S.Z. Song, Sub algebra’s and Closed ideals of Belt-algebras based on bipolar-valued fuzzy sets, Sci. Math. Japan (submitted).
  4. K.M. Lee, Bipolar-Valued fuzzy sets and their operations, Proc. Int. Conf. on. Intelligent Technologies, Bangkok, Thailand (2000), 307-312.
  5. K.M. Lee, Comparison of interval valued fuzzy sets, Intuitionistic fuzzy sets and bipolar fuzzy sets, J. Fuzzy Logic Intelligent Systems, 14(2004), No.2, 125-129.
  6. K.J. Lee, Bipolar fuzzy sub algebra’s, and bipolar fuzzy ideals of BCK/BCI-algebra’s, Bulletin of Malaysian Mathematical Sciences Society, 1-14 (2008).
  7. A.Solairaju and R.Nagarajan, A New structure and Constructions of Q- fuzzy groups, Advances in Fuzzy Mathematics, 4(1)(2009).23-29.
  8. R.Nagarajan and A.Solairaju ,Characterization of anti Q- fuzzy R-sub modules over commutative rings, International Journal of Computer Applications,5(3)(2010), 3-7.
  9. H.J. Zimmermann. Fuzzy set theory and its applications, Kluwer-Nijhoff Publishing, 1985.
Index Terms

Computer Science
Information Sciences

Keywords

Anti Q- Fuzzy d-ideals