Computer Science ›› 2020, Vol. 47 ›› Issue (6A): 526-529.doi: 10.11896/JsJkx.190600003

• Database & Big Data & Data Science • Previous Articles     Next Articles

Core in Covering Approximation Space and Its Properties

ZHOU Jun-li, GUAN Yan-yong, XU Fa-sheng and WANG Hong-kai   

  1. School of Mathematical Sciences,University of Jinan,Jinan 250022,China
  • Published:2020-07-07
  • About author:ZHOU Jun-li, born in 1993, postgradua-te.Her main research interests include rough sets and fuzzy sets.
    GUAN Yan-yong, born in 1964, Ph.D, professor, master supervisor.His main research interests include rough sets and fuzzy sets, etc.
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (11671171) and Natural Science Foundation of Shandong Pro-vince,China (ZR2019BA005).

Abstract: A new concept of core in the covering approximation space is proposed,and the existence and uniqueness of the core and the relationships between covering blocks,neighborhood and the core are studied.Based on the core and reduction,the concept of consistent covering is proposed,and the relationships between the reduction,the core and the consistent covering were revealed.Finally,the necessary and sufficient condition for neighborhood family derived from the covering to be equal to the cove-ring itself is given.

Key words: Consistent covering, Core, Covering, Neighborhood, Reduction, Rough set

CLC Number: 

  • TP18
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