We apologize for a recent technical issue with our email system, which temporarily affected account activations. Accounts have now been activated. Authors may proceed with paper submissions. PhDFocusTM
CFP last date
20 December 2024
Call for Paper
January Edition
IJCA solicits high quality original research papers for the upcoming January edition of the journal. The last date of research paper submission is 20 December 2024

Submit your paper
Know more
The week's pick
Responsive image
Improved Shuffled Frog Leaping Algorithm with Self-Adaptive Shuffling for Fuzzy Logic PD+G Controller Optimization in Robotic Manipulators

Duc Hoang Nguyen
Random Articles
Reseach Article

Article:Structures on Bipolar Fuzzy Groups and Bipolar Fuzzy D-Ideals under (T, S) Norms

by S.V. Manemaran, B. Chellappa
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 9 - Number 12
Year of Publication: 2010
Authors: S.V. Manemaran, B. Chellappa
10.5120/1440-1948

S.V. Manemaran, B. Chellappa . Article:Structures on Bipolar Fuzzy Groups and Bipolar Fuzzy D-Ideals under (T, S) Norms. International Journal of Computer Applications. 9, 12 ( November 2010), 7-10. DOI=10.5120/1440-1948

@article{ 10.5120/1440-1948,
author = { S.V. Manemaran, B. Chellappa },
title = { Article:Structures on Bipolar Fuzzy Groups and Bipolar Fuzzy D-Ideals under (T, S) Norms },
journal = { International Journal of Computer Applications },
issue_date = { November 2010 },
volume = { 9 },
number = { 12 },
month = { November },
year = { 2010 },
issn = { 0975-8887 },
pages = { 7-10 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume9/number12/1440-1948/ },
doi = { 10.5120/1440-1948 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T19:58:23.389204+05:30
%A S.V. Manemaran
%A B. Chellappa
%T Article:Structures on Bipolar Fuzzy Groups and Bipolar Fuzzy D-Ideals under (T, S) Norms
%J International Journal of Computer Applications
%@ 0975-8887
%V 9
%N 12
%P 7-10
%D 2010
%I Foundation of Computer Science (FCS), NY, USA
Abstract

: In this paper, we apply the notion of bipolar-valued fuzzy set to groups. We introduce the concept of bipolar fuzzy groups / fuzzy d-ideals of groups under (T.S) norm and investigate several properties. We give relations between a bipolar fuzzy group and bipolar fuzzy d-ideal. We provide a condition for bipolar fuzzy groups to be a bipolar fuzzy d-ideal. We also give characterizations of bipolar fuzzy ideal. We consider the concept of strongest bipolar fuzzy relations on bipolar 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. D-Dubois and H.Prade, Fuzzy sets and Systems; theory and applications, Acaemic 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. Jpn (submitted).
  4. K.M.Lee, Bipolar-Valued fuzzy sets and their operations, Proc. Int. Conf. on. Intelligent Technologies, Bongkok, Thailand (2000), 307-312.
  5. K.M. Lee, Composition 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 be polar fuzzy ideals of BCK/BCI-algebra’s, Bulletin of Malaysian Mathematical Sciences Society, 1-14 (2008).
  7. R. Nagarajan and A. Solairaju, ‘Characterizations of bipolar Q-fuzzy groups in terms of Bipolar Q-fuzzy d-ideals’ (submitted), Bulletin of Malaysian Mathematical Society.
  8. H.J. Zimmermann. Fuzzy set theory and its applications, Klower-Nijhoff Publishing, 1985.
Index Terms

Computer Science
Information Sciences

Keywords

Bipolar Fuzzy D-Ideals under (T S) Norms

Powered by PhDFocusTM