Valuations on Lattices: Fuzzification and its Implications

  • Kevin H. Knuth
  • Published 2007 in
    Computational Intelligence Based on Lattice…

Abstract

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)
DOI: 10.1007/978-3-540-72687-6_15

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Cite this paper

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