Axiomatization and conditions for neighborhoods in a covering to form a partition

  • Authors:

  • Ziqiu Yun;Xun Ge;Xiaole Bai

  • Affiliations:

  • Mathematical Department, Soochow University, Suzhou 215006, PR China;School of Zhangjiagang, Jiangsu University of Science and Technology, Zhangjiagang 215600, PR China;Computer Information and Science Department, University of Massachusetts Dartmouth, MA 02747, USA

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2011

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Abstract

In this paper, we study the axiomatic issue of a type of covering upper approximation operations. This issue was proposed as an open problem. We also further some known results by using only a single covering approximation operator to characterize the conditions for neighborhood {N(x): x@?U} to form a partition of universe U.