The negation in the Checklist Paradigm based m2 non-commutative fuzzy interval logic system of Goguen and Gaines

This paper continues the study of fuzzy interval logic based on the Checklist Paradigm by Kohout and Bandler. The fuzzy interval system of negation in m₂ Goguen-Gaines´s logic is investigated in depth. Since the m₂ interval system of Goguen-Gaine´s logic is non-commutative system, the interval negation of m₂ is defined in consideration of the non-commutativity of system. And, the axioms of negation in the m₂ interval system are further investigated.