Our aim in the present paper is to introduce and study certain types of fuzzy retractions of fuzzy closed flat Robertson-Walker space  model. Some kinds of fuzzy deformation retracts of  model are obtained. The relations between the fuzzy folding and the fuzzy deformation retracts of  model are deduced. Types of fuzzy minimal retractions of  model are also presented. New types of homotopy maps are deduced. New types of conditional fuzzy folding of  model are presented. Some commutative diagrams are obtained.

fuzzy retraction, fuzzy deformation retract, fuzzy folding, fuzzy closed flat Robertson- Walker space  model.