6533b7d5fe1ef96bd126455e

RESEARCH PRODUCT

From Lattice Valued Theories to Lattice Valued Analysis

Irina PerfilievaAlexandr ŠOstak

subject

Condensed Matter::Quantum GasesAlgebraDiscrete mathematicsReciprocal latticeInterconnectionLattice (order)Residuated latticeExtension principleCongruence lattice problemMap of latticesFuzzy logicMathematics

description

We claim and justify that the future of a fuzzy logic is in the interconnection of various well-developed theories. We are focused on a lattice valued analysis that unifies the treatments of atomic elements, sets of atomic elements, functions between sets of atomic elements and their properties. We clarify the relationship between a fuzzy function and its ordinary core. We discuss the property of continuity of a fuzzy function in a lattice valued topology.

yearjournalcountryeditionlanguage
2015-01-01
https://doi.org/10.1007/978-3-319-18750-1_9