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Attribute reduction in L-fuzzy formal contexts. (English) Zbl 1474.68348

Summary: Attribute reduction plays an important role in formal concept analysis. The existing work on attribute reduction of fuzzy formal context focuses mainly on one-sided fuzzy formal concepts. This paper is devoted to the study of attribute reduction for general L-fuzzy formal context. Some judgement theorems for a set of attributes to be consistent are presented. By using the discernibility function composed of discernibility attributes between related L-fuzzy formal concepts, an approach to compute attribute reductions is proposed. An illustrative example is presented which justify the method presented in this study.

MSC:

68T30 Knowledge representation
68T37 Reasoning under uncertainty in the context of artificial intelligence
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