Journal
KNOWLEDGE-BASED SYSTEMS
Volume 24, Issue 6, Pages 858-867Publisher
ELSEVIER
DOI: 10.1016/j.knosys.2011.03.007
Keywords
Descriptor; Incomplete information system; Maximal consistent block; Neighborhood system; Rough set
Categories
Funding
- Natural Science Foundation of China [60632050]
- Postdoctoral Science Foundation of China [20100481149]
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Neighborhood system formalized the ancient intuition, infinitesimals, which led to the invention of calculus, topology and non-standard analysis. In this paper, the neighborhood system is researched from the view point of knowledge engineering and then each neighborhood is considered as a basic unit with knowledge. By using these knowledge in neighborhood system, the rough approximations and the corresponding properties are discussed. It is shown that in the incomplete information system, the smaller upper approximations can be obtained by neighborhood system based rough sets than by the methods in [Y. Leung, D.Y. Li, Maximal consistent block technique for rule acquisition in incomplete information systems, Information Sciences 115 (2003) 85-106] and [Y. Leung, W.Z. Wu, W.X. Zhang, Knowledge acquisition in incomplete information systems: a rough set approach, European Journal of Operational Research 168 (2006) 164-180]. Furthermore, a new knowledge operation is discussed in the neighborhood system, from which more knowledge can be derived from the initial neighborhood system. By such operations, the regions of lower and upper approximations are further expanded and narrowed, respectively. Some numerical examples are employed to substantiate the conceptual arguments. (C) 2011 Elsevier B.V. All rights reserved.
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