QL-Implication in the Checklist Paradigm Based Fuzzy Interval Logic

This paper continues a study of systems of fuzzy interval logic based on the Checklist Paradigm semantics of Bandler and Kohout. Their five fuzzy interval logic system (m(1) - m(5)) which were derived using probabilistic measures, called checklist paradigm, are reinterpreted in the viewpoint of a class of fuzzy implications. This paper envisions their m(1) and m(3) interval logic system in the viewpoint of QL-implication. The < top - bot > pairs of interval bounds in m(1) or m(3) system are defined as QL-implications and their properties of fuzzy implication are further investigated. We conclude m(3) interval logic system is a class of QL-implication while m(1) system is a class of strong QL-implication, i.e. S-implication.