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A new minimal rough set axiom group
Authors:Dai?Jian-hua  author-information"  >  author-information__contact u-icon-before"  >  mailto:jhdai@.com"   title="  jhdai@.com"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Institute of Artificial Intelligence, Zhejiang University, 310027 Hangzhou, Zhejiang, China
Abstract:Rough set axiomatization is one aspect of rough set study, and the purpose is to characterize rough set theory using independable and minimal axiom groups. Thus, rough set theory can be studied by logic and axiom system methods. To characterize rough set theory, an axiom group named H consisting of 4 axioms, is proposed. That validity of the axiom group in characterizing rough set theory is reasonable, is proved. Simultaneously, the minimization of the axiom group, which requires that each axiom is an inequality and each is independent, is proved. The axiom group is helpful for researching rough set theory by logic and axiom system methods.
Keywords:rough set  lower approximation  axioms  minimization
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