Category of Fuzzy Topological Polygroups

Category of Fuzzy Topological Polygroups

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In this paper, the relation between two definitions of a fuzzy topological polygroup is discussed. The collection of all fuzzy continuous functions from a fuzzy topological space Y to a fuzzy topological polygroup Z, denoted by FC(Y,Z) induces a polygroup structure from that of Z. Moreover, we study...

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Main Authors: N. Abbasizadeh, B. Davvaz
Format: Article
Language:English
Published: Etamaths Publishing 2016-06-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/757
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spelling doaj-89eecc849df74006af15d7d176298e312020-11-25T01:18:40ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392016-06-01112124136182Category of Fuzzy Topological PolygroupsN. AbbasizadehB. DavvazIn this paper, the relation between two definitions of a fuzzy topological polygroup is discussed. The collection of all fuzzy continuous functions from a fuzzy topological space Y to a fuzzy topological polygroup Z, denoted by FC(Y,Z) induces a polygroup structure from that of Z. Moreover, we study (fuzzy) topological polygroup of the polygroup FC(Y,Z) when it is equipped with various known topologies and fuzzy topologies. Also, a few properties of fuzzy topological polygroups are established and a category CFTP is formed with objects as FTP and morphisms as the fuzzy topological homomorphisms. The category CTP is seen to be a full subcategory of CFTP.http://www.etamaths.com/index.php/ijaa/article/view/757
collection DOAJ
language English
format Article
sources DOAJ
author N. Abbasizadeh
B. Davvaz
spellingShingle N. Abbasizadeh
B. Davvaz
Category of Fuzzy Topological Polygroups
International Journal of Analysis and Applications
author_facet N. Abbasizadeh
B. Davvaz
author_sort N. Abbasizadeh
title Category of Fuzzy Topological Polygroups
title_short Category of Fuzzy Topological Polygroups
title_full Category of Fuzzy Topological Polygroups
title_fullStr Category of Fuzzy Topological Polygroups
title_full_unstemmed Category of Fuzzy Topological Polygroups
title_sort category of fuzzy topological polygroups
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2016-06-01
description In this paper, the relation between two definitions of a fuzzy topological polygroup is discussed. The collection of all fuzzy continuous functions from a fuzzy topological space Y to a fuzzy topological polygroup Z, denoted by FC(Y,Z) induces a polygroup structure from that of Z. Moreover, we study (fuzzy) topological polygroup of the polygroup FC(Y,Z) when it is equipped with various known topologies and fuzzy topologies. Also, a few properties of fuzzy topological polygroups are established and a category CFTP is formed with objects as FTP and morphisms as the fuzzy topological homomorphisms. The category CTP is seen to be a full subcategory of CFTP.
url http://www.etamaths.com/index.php/ijaa/article/view/757
work_keys_str_mv AT nabbasizadeh categoryoffuzzytopologicalpolygroups
AT bdavvaz categoryoffuzzytopologicalpolygroups
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