Construction of n-ary F-polygroups

By an n-ary F-hyperoperation on a non-empty set A   we mean a function from A×⋯×AA×⋯×A to the set of all non-zero fuzzy subsets of A, where A appears n times. Using this concept we introduce the notion of n-ary F-polygroups which is a generalization of ideas presented by Zahedi, Hasankhani and Davvaz et al. Some basic results are obtained.