Research Article
Article:Structures on Bipolar Fuzzy Groups and Bipolar Fuzzy D-Ideals under (T, S) Norms
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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| Volume 9 - Issue 12 |
| Published: November 2010 |
| Authors: S.V. Manemaran, B. Chellappa |
10.5120/1440-1948
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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 },
year = { 2010 },
volume = { 9 },
number = { 12 },
pages = { 7-10 },
doi = { 10.5120/1440-1948 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2010
%A S.V. Manemaran
%A B. Chellappa
%T Article:Structures on Bipolar Fuzzy Groups and Bipolar Fuzzy D-Ideals under (T, S) Norms%T
%J International Journal of Computer Applications
%V 9
%N 12
%P 7-10
%R 10.5120/1440-1948
%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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