2007•Mohu xitong yu shuxueRequires access

A Model of Granular Computing Based on Equivalent Operator of Pansystems of Rough Sets

Tang Xiao, Zhiwen Mo

Abstract

In this paper,we propose a model of granular computing on pansystems of rough set.By weakening the requirement of equivalent relations,we can have more general granulations based on pansystems of rough set theory.The pansystems of rough set theory uses common binary relation as granules to describe concepts.First,the text depicts how to use the operators of pansystems to convert common relation into equivalent relation.Then granulated views induced by a partition of the universe and a covering of different levels in the granular structure.This text is put forward to expand the range of application of rough sets,and provide ideas for dealing with the problems of uncertain information,enable the pansystems theory and rough sets theory to combine effectively.

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Key concepts: Rough set, Granular computing, Binary relation, Mathematics, Relation (database), Operator (biology), Partition (number theory), Set (abstract data type)