Soft n-Ary Subgroups

Soft n-Ary Subgroups

Soft set theory plays a vital role in solving many complicated problems with inherited uncertainty. An n-ary algebraic systems is a generalization of algebraic structures and it is the most natural way for the further development, deeper understanding of their properties. In this paper, we apply sof...

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Bibliographic Details
Main Authors: D.R. Prince Williams, Arsham Borumand Saeid, Feng Feng
Format: Article
Language:English
Published: Taylor & Francis Group 2015-09-01
Series:Fuzzy Information and Engineering
Subjects:
Subgroup
n-Ary subgroup
Soft set
Soft n-ary subgroup
Soft n-ary relation
Online Access:http://www.sciencedirect.com/science/article/pii/S1616865815000631
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spelling doaj-241a4b4fc1d440269f45ace41f474a1a2020-11-25T02:53:09ZengTaylor & Francis GroupFuzzy Information and Engineering1616-86582015-09-017329130410.1016/j.fiae.2015.09.003Soft n-Ary SubgroupsD.R. Prince Williams0Arsham Borumand Saeid1Feng Feng2Department of Information Technology, College of Applied Sciences, Ministry of Higher Education, PB:135, Sohar- 311, OmanDepartment of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, IranDepartment of Applied Mathematics, School of Sciences, Xi’an University of Posts and Telecommunications, Xi’an 710121, ChinaSoft set theory plays a vital role in solving many complicated problems with inherited uncertainty. An n-ary algebraic systems is a generalization of algebraic structures and it is the most natural way for the further development, deeper understanding of their properties. In this paper, we apply soft set theory to an n-ary algebraic systems and introduce the notions of soft n-ary groups and soft n-ary subgroups. Further, some operations on soft sets are extended to the former. Finally, we provide the characterization of soft n-ary subgroups over an n-ary group (G,f) and study their related properties.http://www.sciencedirect.com/science/article/pii/S1616865815000631Subgroupn-Ary subgroupSoft setSoft n-ary subgroupSoft n-ary relation
collection DOAJ
language English
format Article
sources DOAJ
author D.R. Prince Williams
Arsham Borumand Saeid
Feng Feng
spellingShingle D.R. Prince Williams
Arsham Borumand Saeid
Feng Feng
Soft n-Ary Subgroups
Fuzzy Information and Engineering
Subgroup
n-Ary subgroup
Soft set
Soft n-ary subgroup
Soft n-ary relation
author_facet D.R. Prince Williams
Arsham Borumand Saeid
Feng Feng
author_sort D.R. Prince Williams
title Soft n-Ary Subgroups
title_short Soft n-Ary Subgroups
title_full Soft n-Ary Subgroups
title_fullStr Soft n-Ary Subgroups
title_full_unstemmed Soft n-Ary Subgroups
title_sort soft n-ary subgroups
publisher Taylor & Francis Group
series Fuzzy Information and Engineering
issn 1616-8658
publishDate 2015-09-01
description Soft set theory plays a vital role in solving many complicated problems with inherited uncertainty. An n-ary algebraic systems is a generalization of algebraic structures and it is the most natural way for the further development, deeper understanding of their properties. In this paper, we apply soft set theory to an n-ary algebraic systems and introduce the notions of soft n-ary groups and soft n-ary subgroups. Further, some operations on soft sets are extended to the former. Finally, we provide the characterization of soft n-ary subgroups over an n-ary group (G,f) and study their related properties.
topic Subgroup
n-Ary subgroup
Soft set
Soft n-ary subgroup
Soft n-ary relation
url http://www.sciencedirect.com/science/article/pii/S1616865815000631
work_keys_str_mv AT drprincewilliams softnarysubgroups
AT arshamborumandsaeid softnarysubgroups
AT fengfeng softnarysubgroups
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