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 is a usual topological polygroup, then the induced fuzzy topology on I P makes a fuzzy topologiccal polygroup.
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