Title: The concept granular system based on granular set
Abstract: The paper,based on the author's new model of granular computing─the theory of granular set,put forward the conception of granular system,granular system and granular.It described those concepts respectively,of which the description of concept granular system was in the form of five-tuple array,that is,(U,D,L,H,J).When the constraint J was a special form,that is,the mathematical description of the anti-change relationship between the connotation and extension of the concept,(U,D,L,H,J) was the concept granular system.The model gave some basic mathematical laws of the concept granular system,and proved that all of the granular concepts constitute a complete lattice─concept granular lattice;meanwhile it discussed formal context related with the concept granular system,thus expanded and improved the granular set theory.
Publication Year: 2009
Publication Date: 2009-01-01
Language: en
Type: article
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