Abstract: Different representation for knowledge brings different difficulties in comprehension and programming.Knowledge is regarded as the classification ability according to available knowledge in Rough Set Theory, based on which, a set of algebraic definition for knowledge representation and operation was systematically proposed. However, it is relative difficult to help understand the essence of knowledge in view of algebraic description. Professor Miao in Tongji University built up relations between knowledge and information,he redefined Rough Set algebraic system by information concepts. Furthermore,he also provided equivalent proof for both definitions. In this paper,knowledge and its operation were expressed in form of granular matrix. The equivalent proofs for all three definitions mentioned above were given in this paper.

Key words: Granular computing(GrC) , Rough set thcory(RSh) , Granular matrix(GrM) , Granular relation matrix