Generalized Metrics and Their Relevance for FCA and Closure Operators
نویسندگان
چکیده
We provide an approach to generalized metrics that covers various concepts of distance. In particular, we consider functorial maps which are weakly positive. Here, we focus on the supermodular case which generalizes dimension functions. We give a lattice-theoretically based construction for supermodular functorial maps, which generalize those arising from Dempster-Shafer-Theory. Within this framework, generalized metrics relevant for FCA and closure operators are discussed.
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