The set of [alpha]-orientations of a plane graph has a natural distributive lattice
The basic concept behind this ordering is distributive lattice
with their relations.
If distributive laws hold in a lattice then it is called a distributive lattice
Wu: Fuzzy ideals on a distributive lattice
, Fuzzy Sets and Systems, 35(1990), 231-240.
J] is a distributive lattice
, then the length function l also serves as a rank function, so [W.
L always denotes a completely distributive lattice
and if the lattices L does not contain the zero element and unit element I
5] Every distributive lattice
is a modular lattice.
If we order P (seen as a set of sets of worlds) by [contains or equals to], we obtain a complete distributive lattice
(P, [contains or equals to]) with the sentence F at the top and the sentence T at the bottom.
The concept of modular lattice, distributive lattice
, super modular lattice and chain lattices can be had from .
Finally, in Section 5 we make some remarks about a new partial order on TSSCPPs obtained via boolean triangles, which reduces in the permutation case to the distributive lattice
which is the product of chains of lengths 2, 3, .
l) if and only if S is a subdirect product of distributive lattice
and a member in [?
Farley and Schmidt answer a similar question for distributive lattices