Host: Japan Society for Fuzzy Theory and Intelligent Informatics
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 non-convex 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.
