﻿ 基于等价关系逻辑“与”“或”的粗糙集

# 基于等价关系逻辑“与”“或”的粗糙集Rough Set Based on Logical AND and OR of Equivalence Relations

Abstract: We popularize the classical rough set model in this paper and study rough set in the view of logical operation of equivalence relations. The logical AND rough set model and the logical OR rough set model are proposed on the basis of the operations logical AND and logical OR of equivalence relations. Furthermore, the connection between the logical AND rough set model and Pawlak’s classical rough set model is illustrated. Important properties are discussed in depth and several measures are defined in OR-RS. An example is em-ployed to explain OR-RS.

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