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Evolution in time of \(L\)-fuzzy context sequences. (English) Zbl 1390.68617

Summary: In this work, we consider a complete lattice \(L\) and we study \(L\)-fuzzy context sequences which represent the evolution in time of an \(L\)-fuzzy context. To carry out this study, in the first part of the paper, we consider \(n\)-ary OWA operators in complete lattices, which enable us to make a general analysis and a temporal analysis at any moment in time of \(L\)-fuzzy context sequences. After that, evolution in time of the relationship between the objects and the attributes is considered. In particular, we analyze the concepts of Trend and Persistent formal contexts. Finally, we illustrate our results with an example where we consider the particular lattice \(L = \mathcal{J}([0, 1])\).

MSC:

68T30 Knowledge representation
06B23 Complete lattices, completions
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