lattice-valued function

noun
UK /ˈlætɪs ˈvæljuːd ˈfʌŋkʃən/
US /ˈlætɪs ˈvæljuːd ˈfʌŋkʃən/

A function that gives back a value from a special ordered set called a lattice.

In the model, each point's height is a lattice-valued function mapping positions to elements of the lattice.

SYNONYMS

lattice-valued maplattice-valued mappinglattice-valued operatorlattice-valued assignment

RELATED WORDS

latticepartially ordered setfunctionsupremuminfimum

OTHER MEANINGS

2. A function whose codomain is a lattice, often used in fuzzy logic and order theory.

Fuzzy truth values can be modeled as a lattice-valued function over a set of propositions.

3. A map from a set into a lattice that preserves or respects order structure.

The order-preserving lattice-valued function was used to compare states in the system.

4. In algebra, a function taking values in a lattice of ideals or subgroups.

The researcher studied a lattice-valued function assigning each element to an ideal.