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δ-bisimulation based on complete lattices have been proposed to generalize the classical bisimulation.
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Also, based on complete exclusion of bulky branches from the crystal lattice, a 'pull-out' mechanism was developed for the relaxation of branched parts of polyethylene chains in the vicinity of the crystal layer.
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It consists of a convex combination of fundamental operators from mathematical morphology (MM) on complete lattices theory (CLT).
See for instance Abramsky and Jung [1994] for the application of the fixed point theorem on complete lattices to the denotational semantics of programming languages.
For single-valued mappings, Tarski et al. provided a fixed point theorem on complete lattices and on chain-complete posets (see [1]).
Some models of random structures are based on periodic lattices.
For example, methods based on phone lattices (see [25]) or specific acoustic model topologies (see [26]).
These networks vary from protein-like networks to topologies based on disordered lattices that accentuate the role of fluctuating edges.
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