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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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 |
_version_ |
1724726403333619712 |