Journal of Algebraic Hyperstructures and Logical Algebras (JAHLA) is an international semiannual journal published by University of Hatef founded in 2020 and supported by the International Algebraic Hyperstructures Association and Iranian Fuzzy System Society. In mathematical logic, algebraic logic is the reasoning obtained by manipulating equations with free variables. What is now usually called classical algebraic logic focuses on the identification and algebraic description of models appropriate for the study of various logics (in the form of classes of algebras that constitute the algebraic semantics for these deductive systems) and connected problems like representation and duality. Well known results like the representation theorem for Boolean algebras and Stone duality fall under the umbrella of classical algebraic logic. On the other side, Hyperstructures are algebraic structures equipped with at least one multi-valued operation, called a hyperoperation. A hyperoperation on a nonempty set is a mapping from to the nonempty power set. The largest classes of the hyperstructures are the ones called Hν structures.