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 (m₁-m₅) which were derived using probabilistic measures, called checklist paradigm, are reinterpreted in the viewpoint of a class of fuzzy implications. This paper envisions their m₁ and m₃ interval logic system in the viewpoint of QL-implication. The <; top-bot> pairs of interval bounds in m₁ or m₃ system are defined as QL-implications and their properties of fuzzy implication are further investigated. We conclude m₃ interval logic system is a class of QL-implication while m₁ system is a class of strong QL-implication, i.e. S-implication.