Conjunctors and their Residual Implicators: Characterizations and Construction Methods

This work presents several classes of conjunctors, i.e. binary operations on [0, 1] that are used to extend the boolean conjunction from {0,1} to [ 0, 1], and characterize their respective residual implicators, and establishes a one-to-one correspondence between construction methods for conjunctor and construction method for residual implicator.