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Reseach Article

On Fuzzy Soft Groups

by S.V. Manemaran
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 15 - Number 7
Year of Publication: 2011
Authors: S.V. Manemaran
10.5120/1957-2618

S.V. Manemaran . On Fuzzy Soft Groups. International Journal of Computer Applications. 15, 7 ( February 2011), 38-44. DOI=10.5120/1957-2618

@article{ 10.5120/1957-2618,
author = { S.V. Manemaran },
title = { On Fuzzy Soft Groups },
journal = { International Journal of Computer Applications },
issue_date = { February 2011 },
volume = { 15 },
number = { 7 },
month = { February },
year = { 2011 },
issn = { 0975-8887 },
pages = { 38-44 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume15/number7/1957-2618/ },
doi = { 10.5120/1957-2618 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:03:34.090064+05:30
%A S.V. Manemaran
%T On Fuzzy Soft Groups
%J International Journal of Computer Applications
%@ 0975-8887
%V 15
%N 7
%P 38-44
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Molodtsov introduced the concept of soft set theory which can be used as generic mathematical tool for dealing with uncertainty. In this paper, we discuss fuzzy soft sets algebraic structure and give the definition of fuzzy soft group. We define operations on fuzzy soft groups and prove some results on them. Furthermore, definitions of fuzzy soft function and fuzzy soft homomorphism are defined and the theorems on homomorphic image and homomorphic pre image are given. After that, the definition of normal fuzzy soft group is given and some of its basic properties are studied.

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Index Terms

Computer Science
Information Sciences

Keywords

Soft Set Fuzzy Soft Group Soft Homomorphism Normal Fuzzy Soft Group Pre-image Fuzzy Soft Function