By a News Reporter-Staff News Editor at Information Technology Newsweekly -- Fresh data on Information Technology are presented in a new report. According to news reporting originating from Jiangsu, People's Republic of China, by VerticalNews correspondents, research stated, "A special class of neighborhood systems, called 1-neighborhood systems, are important in rough set theory. By using a concept 'core' originated in general topology, we define two types of rough sets based on 1-neighborhood systems in this paper."
Our news editors obtained a quote from the research from Soochow University, "We discuss properties of these rough sets from the perspective of both common 1-neighborhood systems and several special classes of 1-neighborhood systems, such as reflexive, symmetric, transitive, or Euclidean 1-neighborhood systems. By using these properties, we discuss the relationship among several classes of 1-neighborhood systems with various special properties. We give a necessary and sufficient condition for a reflexive and symmetric 1-neighborhood system being a unary. We also prove that a reflexive and transitive 1-neighborhood system is representative."
According to the news editors, the research concluded: "The proofs of these results show that the rough sets we defined in this paper not only have application background, but also have theoretic importance."
For more information on this research see: A study of rough sets based on 1-neighborhood systems. Information Sciences, 2013;248():103-113. Information Sciences can be contacted at: Elsevier Science Inc, 360 Park Ave South, New York, NY 10010-1710, USA. (Elsevier - www.elsevier.com; Information Sciences - www.elsevier.com/wps/product/cws_home/505730)
The news editors report that additional information may be obtained by contacting Z.M. Yu, Soochow Univ, Dept. of Math, Suzhou 215006, Jiangsu, People's Republic of China. Additional authors for this research include X.L. Bai and Z.Q. Yun.
Keywords for this news article include: Asia, Jiangsu, Information Technology, People's Republic of China
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