23rd Fuzzy System Symposium
Session ID : TD1-4
Conference information
Host: Japan Society for Fuzzy Theory and Intelligent Informatics (SOFT)
On some properties of multiple-interval logic functions
Details
Host: Japan Society for Fuzzy Theory and Intelligent Informatics (SOFT)
A fuzzy (linguistic) truth value is a truth value specified by a fuzzy set over a closed interval [0; 1]. Logical operations, defined according to the extension principle, do not satisfy all identities to be lattice because there are subnormal truth values and nonconvex truth values that violate the absorption laws. In 2000, Brzozowski proposed de Morgan bisemilattice, which is generalized algebra of de Morgan lattice in order for applications in multi-valued simulations of digital circuits. This paper studies a notion of fuzzy-interval equivalnt relation defined for fuzzy functions taking linguistic truth value.
