The notion of ordering is perhaps one of the most fundamental of abstract concepts. The zeta function is used to algebraically describe the ordering of elements in a lattice. An appropriate generalization of the zeta function generalizes the notion of inclusion to degrees of inclusion. However, the lattice structure imposes strong constraints on the values… (More)

@inproceedings{Knuth2007ValuationsOL,
title={Valuations on Lattices: Fuzzification and its Implications},
author={Kevin H. Knuth},
booktitle={Computational Intelligence Based on Lattice Theory},
year={2007}
}