4.5 Article

Two kinds of multi-level formal concepts and its application for sets approximations

出版社

SPRINGER HEIDELBERG
DOI: 10.1007/s13042-012-0128-2

关键词

Formal concept analysis; Concept lattice; Rough set; Lower approximation; Upper approximation

资金

  1. National Natural Science Foundation of China [60963006, 61173181, 61075120]
  2. Humanities and Social Science funds Project of Ministry of Education of China [11XJJAZH001, 09YJCZH082]
  3. Zhejiang Provincial Natural Science Foundation of China [LZ12F03002]
  4. Science and Technology Project of Qingdao [12-1-4-4-(9)-jch]

向作者/读者索取更多资源

In this paper, we introduce two pairs of operators in fuzzy formal contexts. Based on the proposed operators, we present two kinds of multi-level formal concepts. We also propose two pairs of rough approximation operators by employing the two kinds of multi-level formal concepts. By the proposed rough set approximation operators, we not only approximate a crisp set, but also approximate a fuzzy set. Finally, we discuss the properties of the proposed approximation operators in details.

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