4.5 Article

Multi-level interval-valued fuzzy concept lattices and their attribute reduction

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s13042-016-0577-0

Keywords

Interval-valued fuzzy formal context; Multi-level interval-valued concept lattice; Attribute reduction

Funding

  1. National Natural Science Foundation of China [11301415, 11401469]
  2. Research of Dynamically Reconfigurable and Programmable Architecture for 3D-Video SoC - NSFC [61272120]

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The paper introduces the multi-level intervalvalued fuzzy concept lattices in an interval-valued fuzzy formal context. It introduces the notion of multi-level attribute reductions in an interval-valued fuzzy formal context and investigates related properties. In addition, the paper formulates a corresponding attribute reduction method by constructing a discernibility matrix and its associated Boolean function. The paper also proposes the multi-level granule representation in interval-valued fuzzy formal contexts.

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