DeMorgan systems on the unit interval

Abstract

Logical connectives on fuzzy sets arise from those on the unit interval. The basic theory of these connectives is cast in an algebraic spirit with an emphasis on equivalence between the various systems that arise. Special attention is given to DeMorgan systems with strict Archimedean t-norms and strong negations. A typical result is that any DeMorgan system with strict t-norm and strong negation is isomorphic to one whose t-norm is multiplication. © 1996 John Wiley & Sons, Inc.