The paper starts from discussing the noncommutativity for MV algebras, and continues with the noncommutative connectives in the context of fuzzy logic, respectively. The aim of the paper is to consider the case of a fuzzy logic with 4 values (the minimum number of values to admit noncommutativity), and to represent the corresponding algebra as linear transformations of the plane, entering this way the realm of the theory of general action.
Fuzzy logic, MV algebras, partially ordered semigroups, representation of semigroups, actions.
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