Affiliations: [a] Department of Mathematics, Yazd University, Yazd, Iran
| [b] Faculty of Mathematics, Al.I. Cuza University of Iasi, Romania
Correspondence:
[*]
Correspondence to: B. Davvaz, Department of Mathematics, Yazd University, Yazd, Iran. Tel.: +983531232711; Fax: +983538210644; E-mail: davvaz@yazd.ac.ir.
Abstract: 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.
Keywords: Polygroup, fuzzy polygroup, topological polygroup, fuzzy topological polygroups, Q-neighborhood, function space
