On minimization of axiom sets characterizing covering-based approximation operators

On minimization of axiom sets characterizing covering-based approximation operators
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表征基于覆盖的近似算子的公理集最小化

DOI:
10.1016/j.ins.2011.02.020
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发表时间:
2011-07
期刊:
Inf. Sci.
影响因子:
--
通讯作者:
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其他
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粗糙集理论是Pawlak为解决信息系统中的粗糙性和粒度问题而提出的。将经典的基于关系的Pawlak粗糙集理论推广到基于覆盖的广义粗糙集理论。粗糙集公理系统是基于覆盖的广义粗糙集理论的基础,因为覆盖近似算子的公理化刻画保证了覆盖的存在性。本文研究了四类基于覆盖的广义粗糙集的独立公理集的等价刻画,并给出了更精细的公理集。
Rough set theory was proposed by Pawlak to deal with the vagueness and granularity in information systems. The classical relation-based Pawlak rough set theory has been extended to covering-based generalized rough set theory. The rough set axiom system is the foundation of the covering-based generalized rough set theory, because the axiomatic characterizations of covering-based approximation operators guarantee the existence of coverings reproducing the operators. In this paper, the equivalent characterizations for the independent axiom sets of four types of covering-based generalized rough sets are investigated, and more refined axiom sets are presented.
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