GPU-based program for computing the strong fuzzy degree of hypergroupoids

Abstract

In this paper, we present algorithms to determine the strong fuzzy grade of a hypergroupoid, exemplifying two types of hypergroupoids. Programs involved with GPU computing for calculating the strong fuzzy grade of the hypergroupoids with large cardinality are given, and a comparison of programs between using GPU and CPU is presented. We also give programs for the Corsini method named join2fuzzy and fuzzy2join. All programs are applicable for any hypergroupoid, except the program GenH, with which the hypergroupoid H to be studied is introduced.