Fuzzy Hv-submodules in Γ-Hv-modules

The algebraic hyperstructure is a natural generalization of the usual algebraic structures which was first initiated by Marty [1]. After the pioneering work of F. Marty, algebraic hyperstructures have been developed by many researchers. A short review of which appears in [2]. A recent book on hyperstructures [3] points out their applications in geometry, hypergraphs, binary relations, lattices, fuzzy sets and rough sets, automata, cryptography, codes, median algebras, relation algebras, artificial intelligence and probabilities. Vougiouklis [4] introduced a new class of hyperstructures so-called Hv-structure, and Davvaz [5] surveyed the theory of Hv-structures. The Hv-structures are hyperstructures where equality is replaced by nonempty intersection.