Affiliations: [a]
Department of Mathematics, University of Mazandaran, Babolsar, Iran
| [b]
School of Mathematics, Statistic and Computer Sciences, University of Tehran, Tehran, Iran
Correspondence:
[*]
Corresponding author. Y. Talebi, Department of Mathematics, University of Mazandaran, Babolsar, Iran. Tel.: +98 9113120654; Fax: +98 1125342432; E-mail: talebi@umz.ac.ir.
Abstract: In this paper first, we introduce three fuzzy approximation operators denoted C′¯, C_, C′_ on an arbitrary set X, and then we use these operators to associate various topologies to a given finite state machine. Also, we obtain some basic properties of these topological spaces. Finally, for a given fuzzy finite state automata M = (Q, Σ, μ), these results allows us to obtain (fuzzy) topology on Q, in terms of the source and successors Kuratowski closure operators on Q.
