Authors
E.S. VOLKOVA, V.B. GISIN
Abstract
The paper considers the relationship of tolerance with an estimate of the intensity in complete residual lattices. The space of fuzzy features and the embedding of the original space of tolerance in the space of classes of tolerance are described. The connection of the described construction with lattices of fuzzy concepts is established. It is proved that any relation of tolerance with an assessment in a complete residual lattice can be represented as a composition of the object-sign relationship and its inverse. The example shows that this representation may not be the only one even taking into account the minimum requirement. The structure of minimal representations is rather complicated and requires further research.
Keywords
attitude of tolerance; residual lattice; gating algebra; knowledge representation; information granules.
