Studies on fuzzy topological polygroups

In this paper, we study fuzzy topological polygroups and prove some results in this respect. Denote by FC (Y, Z) the set of all fuzzy continuous functions from a fuzzy topological space Y into a fuzzy topological space Z. Our aim in this paper is to study a polygroup, fuzzy polygroup, topological po...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2017-01, Vol.32 (1), p.1101-1110
Main Authors: Abbasizadeh, N., Davvaz, B., Leoreanu-Fotea, V.
Format: Article
Language:English
Subjects:
Continuity (mathematics)
Function space
Fuzzy sets
Topology
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Summary:In this paper, we study fuzzy topological polygroups and prove some results in this respect. Denote by FC (Y, Z) the set of all fuzzy continuous functions from a fuzzy topological space Y into a fuzzy topological space Z. Our aim in this paper is to study a polygroup, fuzzy polygroup, topological polygroup and fuzzy topological polygroup structure on the (fuzzy) function space FC (Y, Z). Also, we study induced fuzzy topological polygroups. It is shown that if ( P , T ) is a usual topological polygroup, then the induced fuzzy topology ω ( T ) on IP makes ( P , ω ( T ) ) a fuzzy topologiccal polygroup.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-16244