lattice-valued mapping

noun
UK /ˈlætɪs ˈvæljuːd ˈmæpɪŋ/
US /ˈlætɪs ˈvæljuːd ˈmæpɪŋ/

A lattice-valued mapping is a rule that gives each thing a value from a special ordered set called a lattice.

In the fuzzy logic model, the lattice-valued mapping assigns each sensor reading a truth degree from the lattice.


OTHER MEANINGS

2. In algebra, a homomorphism from a set or algebra into a lattice structure.

The researcher studied lattice-valued mappings between the Boolean algebra and the distributive lattice.

3. In topology, a continuous function whose codomain carries a lattice order.

The lattice-valued mapping preserved the order under the continuous topology.

4. In computer science, a function assigning lattice elements to program states for abstract interpretation.

The static analyzer used a lattice-valued mapping to track possible values of each variable.