ALGEBRA COLLOQUIUM, cilt.12, sa.3, ss.471-476, 2005 (SCI-Expanded)
In crisp environment, the notion of cyclic group on a set is well known. We study an extension of this classical notion to the fuzzy sets to define the concept of cyclic fuzzy subgroups. By using these cyclic fuzzy subgroups, we then define a cyclic fuzzy group family and investigate its structure properties.