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

by S.V. Manemaran, B. Chellappa
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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
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  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).
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  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.
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Index Terms

Computer Science
Information Sciences

Keywords

Bipolar Fuzzy D-Ideals under (T S) Norms

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