Abstract
We introduce the concept of a fuzzy counting rule. We give a fuzzy version of May's Theorem. We show that if a fuzzy counting rule is efficient, then it is a fuzzy extended q-rule. We also show that the Nakamura numbers for partial fuzzy voting rules and fuzzy counting rules are equal. A necessary and sufficient condition for a fuzzy counting rule to be acyclic is provided. The results are for two types of strict fuzzy preference relations, those of type π(0) and those that are regular.