• فهرست مقالات Hyperstructure

      • دسترسی آزاد مقاله

        1 - A New Approach to $n$-Ary Dynamical Hypersystem
        A. Dehghan Nezhad N. Saderi
        The primary aim of this paper is to investigate useful generalizations of the classical concept of action of a hyperstructure on a non-empty set. The main goal is to develop the theory of dynamical system to the theory of $n$-ary dynamical hypersystem. We also give some چکیده کامل
        The primary aim of this paper is to investigate useful generalizations of the classical concept of action of a hyperstructure on a non-empty set. The main goal is to develop the theory of dynamical system to the theory of $n$-ary dynamical hypersystem. We also give some principal properties of an $n$-ary dynamical hypersystem. پرونده مقاله
      • دسترسی آزاد مقاله

        2 - Representations on Raised Very Thin Hv-fields
        Thomas Vougiouklis
        The hyperstructures have applications in mathematics and other sciences such as biology, physics, linguistics, sociology, to mention but a few. For this, mainly, the largest class of the hyperstructures, the Hv -structures, is used, which satisfy the weak axioms where t چکیده کامل
        The hyperstructures have applications in mathematics and other sciences such as biology, physics, linguistics, sociology, to mention but a few. For this, mainly, the largest class of the hyperstructures, the Hv -structures, is used, which satisfy the weak axioms where the non-empty intersection replaces the equality and they are straightly related to fuzzy set theory. The fundamental relations connect the Hv -structures with the classical ones, moreover, they reveal new concepts as the Hv -fields. Hv -numbers are called the elements of an Hv -field and they are used in representation theory. We introduce the raised finite Hv -fields, and present some results and examples on 2 × 2 representations on them. پرونده مقاله