Classification Of Intuitionistic Fuzzy Implicators: An Algebraic Approach

An attempt is made to build up a rigorous framework for classifying intuitionistic fuzzy (IF) implicators. Our approach will be algebraic: we treat IF implicators as lattice-valued mappings, and we translate desirable logical properties (in casu, a generalized version of the Smets-Magrez axioms) into algebraic equations to be satisfied.