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On Fuzzy Subgroup and Fuzzy Cosets

by B. O. Onasanya, S. A. Ilori
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 81 - Number 14
Year of Publication: 2013
Authors: B. O. Onasanya, S. A. Ilori
10.5120/14184-2353

B. O. Onasanya, S. A. Ilori . On Fuzzy Subgroup and Fuzzy Cosets. International Journal of Computer Applications. 81, 14 ( November 2013), 20-22. DOI=10.5120/14184-2353

@article{ 10.5120/14184-2353,
author = { B. O. Onasanya, S. A. Ilori },
title = { On Fuzzy Subgroup and Fuzzy Cosets },
journal = { International Journal of Computer Applications },
issue_date = { November 2013 },
volume = { 81 },
number = { 14 },
month = { November },
year = { 2013 },
issn = { 0975-8887 },
pages = { 20-22 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume81/number14/14184-2353/ },
doi = { 10.5120/14184-2353 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:56:03.251388+05:30
%A B. O. Onasanya
%A S. A. Ilori
%T On Fuzzy Subgroup and Fuzzy Cosets
%J International Journal of Computer Applications
%@ 0975-8887
%V 81
%N 14
%P 20-22
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, proofs of some theorems relating to fuzzy subgroups, pseudo fuzzy cosets and pseudo fuzzy double cosets have been provided. Some new theorems are also stated and proved.

References
  1. A. O. Kuku, Abstract Algebra, Ibadan University Press, Nigeria (1992)
  2. F. E. Mohammed, Fuzzy Algebra, Doctoral Thesis, Faculty of Engineering, Fayoum University (2006)
  3. M. Artin, Algebra (Second Edition), PHI Learning Private Limited, New Delhi-110001 (2012)
  4. R. Nagarajan and A. Solairaju, On Pseudo Fuzzy Cosets of Fuzzy Normal Subgroups, IJCA (0975-8887), Volume 7, No 6, 34-37 (2010).
  5. S. Shuka, Pseudo Fuzzy Cosets, IJSRP, Volume 3, Issue 1, 1-2 (2013).
  6. W. B. Vasantha Kandasamy, Smarandache Fuzzy Algebra, American Research Press, Rehoboth (2003).
Index Terms

Computer Science
Information Sciences

Keywords

Some important words are fuzzy subset fuzzy subgroup of a group fuzzy cosets pseudo fuzzy cosets pseudo fuzzy double cosets and fuzzy partition.

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