Interpreting lattice-valued set theory in fuzzy set theory
3 Citations•2013•
P. Hájek, Z. Haniková
Log. J. IGPL
An interpretation of lattice-valued logic, defined by Titani, in basic fuzzy logic,defined by Hajek, is presented and its axioms are interpreted in fuzzy set theory, under slight modifications of the fuzzy set theories axiomatics.
Abstract
An interpretation of lattice-valued logic, defined by Titani, in basic fuzzy logic, defined by Hajek, is presented. Moreover, Titani’s axioms of lattice-valued set theory are interpreted in fuzzy set theory, under slight modifications of the fuzzy set theory axiomatics.