2009•jOURNAL OF southwest University for NationalitiesRequires access

Rough set algebra and IMTL-algebra

Wang Ye

Abstract

IMTL-algebra is an important non-classical logic algebra.The relation between rough set and IMTL algebra is studied, and the method of constructing IMTl algebra from rough set algebra is presented.Based on the atoms and congruence relations of approximation algebra, it is proved that rough set algebra becomes IMTL algebra if proper implication → and complement operators～ are selected.

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Key concepts: Cellular algebra, Filtered algebra, Algebra over a field, Mathematics, Algebra representation, Division algebra, Incidence algebra, Quaternion algebra