Open AccessA New Granular Computing Model Based on Algebraic Structure
Author(s) -
CHEN Linshu,
WANG Jiayang,
WANG Weicheng,
LI Li
Publication year - 2019
Publication title -
chinese journal of electronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.267
H-Index - 25
eISSN - 2075-5597
pISSN - 1022-4653
DOI - 10.1049/cje.2018.09.006
Subject(s) - granular computing , granularity , granulation , computer science , algebraic structure , theoretical computer science , congruence relation , consistency (knowledge bases) , algebraic number , binary number , algorithm , mathematics , rough set , data mining , discrete mathematics , artificial intelligence , pure mathematics , mathematical analysis , physics , arithmetic , classical mechanics , operating system
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.