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- W3199094612 abstract "The domain structure in the existing QSM (quotient space model)is usually a topology,and a granule is u-niquely determined by an equivalence relation.However,when the domain structure is assumed as a widely used algebra instead of a topology,it introduces the concept of congruence relation,and systematically demonstrates the existence of two basic conclusions in QSM based on algebraic structure—all the congruence relations forming a complete semi-order lattice and the principles of fal-sity preserving and truth preserving.And when the equivalence relation determining a granule is not a congruence relation,it de-fines the concepts of least upper (greatest lower)congruence and least upper (greatest lower)quotient in antithesis,proves their existence for simplicity,and discusses some of their important properties which are the theoretical basis for the composition and decomposition of different granularities.Finally,based on the routing algorithm transmitting as error correcting codes,it analyzes the application of QSM based on algebraic structure during network secure transmission.The paper extends the theory of QSM from structure,and provides theoretical basis for the combination of quotient space theory and algebraic theory." @default.
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- W3199094612 date "2016-01-01" @default.
- W3199094612 modified "2023-09-25" @default.
- W3199094612 title "A Study for Quotient Space Model Based on Algebraic Structu re" @default.
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