Hyper dimonoids

The dimonoid is an algebraic structure equipped with two associative binary operations satisfying some axioms. In this thesis, primarily, the motivation for defining this algebraic structure is investigated and some properties of dimonoids are explained. Algebraic hyperstructures are a generalization of algebraic structures. In this thesis, semihypergroups as a generalization of semigroups are examined. Later, with a similar method, dimonoids are generalized to hyperdimonoids and some problems of dimonoids are adapted to hyperdimonoids.