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Fuzzy Dot Groups

by A.Solairaju, R.Nagarajan, P.Muruganantham, M.Geethalakshmi
journal cover thumbnail

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
10.5120/1952-2116

A.Solairaju, R.Nagarajan, P.Muruganantham, M.Geethalakshmi . Fuzzy Dot Groups. International Journal of Computer Applications. 15, 6 ( February 2011), 25-29. DOI=10.5120/1952-2116

@article{ 10.5120/1952-2116,
author = { A.Solairaju, R.Nagarajan, P.Muruganantham, M.Geethalakshmi },
title = { Fuzzy Dot Groups },
journal = { International Journal of Computer Applications },
issue_date = { February 2011 },
volume = { 15 },
number = { 6 },
month = { February },
year = { 2011 },
issn = { 0975-8887 },
pages = { 25-29 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume15/number6/1952-2116/ },
doi = { 10.5120/1952-2116 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:03:27.444709+05:30
%A A.Solairaju
%A R.Nagarajan
%A P.Muruganantham
%A M.Geethalakshmi
%T Fuzzy Dot Groups
%J International Journal of Computer Applications
%@ 0975-8887
%V 15
%N 6
%P 25-29
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

H.Sherwood (4) introduced the concept of product of fuzzy groups (Fuzzy sets & fuzzy systems) and its properties. We define a new class of fuzzy groups called fuzzy dot group which is weaker than the standard fuzzy group defined by Rosenfeld (2) and characterize some properties of fuzzy dot groups.

References
  1. 1.J.M.Anthony and .Sherwood, Fuzzy groups redefined J.math.Anal.Appl.69(1979), 124-130.
  2. A.Rosenfeld, Fuzzy groups, J.math.Anal.Appl.35 (1971), 512- 517.
  3. S.Sessa, On fuzzy subgroups and fuzzy ideals under triangular norms, Fuzzy sets and fuzzy systems , 13 , (1984), 95-100.
  4. H.Sherwood, Product of fuzzy subgroups, Fuzzy sets and systems , 11 , (1983) , 79-89.
  5. F.I.Sidky and M.Atif Misherf, Fuzzy cossets and cyclic and abelian fuzzy subgroups, Fuzzy sets and systems , 43 , (1991) , 243-250.
  6. A.Solairaju and R.Nagarajan, Characterizations of weaker Fuzzy groups in terms Rosenfeld’s Fuzzy groups, Journal of Applied Mathematical Analysis and Applications Vol.4 , No. 1-2, 37-43.
  7. R.Nagarajan and A.Solairaju, Some Structure Properties of M- fuzzy groups Applied Mathematical Sciences, Accepted For Publication,2010.
  8. A.Solairaju and R.Nagarajan Some Structure Properties of Q-cyclic Fuzzy group Family, Antarctica Journal of Mathematics, Vol.7.,No.1,2010.
  9. L.A.Zadeh , Fuzzy sets , Inform and control , 8 ,(1965)., 338-353.
Index Terms

Computer Science
Information Sciences

Keywords

fuzzy group fuzzy dot group standard fuzzy group d-fuzzy groupoid homomorphism’s direct product

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