A New Granular Computing Model Based on Algebraic Structure

Granular computing is a very hot research field in computer science in recent years. This paper introduces a new granular computing model based on algebraic structure, in which the granule structure is assumed as a binary operator and the granulation is based on a congruence relation. Following the homomorphic consistency principle, the methods of granulation (granularity coarsening) and granularity combination (granularity refinement) are introduced, and the corresponding numerical examples show that these methods are efficient and applicable. These works have enriched the granular computing models from structure and provided theoretical basis for the combination of granular computing theory and algebraic theory.