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Recently, low rank representation (LRR) has been successfully applied to explore subspace segmentation of data. In this paper, we propose a nonconvex formulation to determine the LRR from contaminated data. Unlike in traditional methods, which directly utilize the nuclear norm to approximate the rank function and penalize noise using the ℓ2,1-norm, our method introduces the Ky Fan p-k-norm and the...
This paper proposes an approach to fuzzy rough sets in the framework of lattice theory. The new model for fuzzy rough sets is based on the concepts of both fuzzy covering and binary fuzzy logical operators (fuzzy conjunction and fuzzy implication). The conjunction and implication are connected by using the complete lattice-based adjunction theory. With this theory, fuzzy rough approximation operators...
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