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Keywords:
fuzzy connectives; finite chain; t-operator; semi-t-operator; pseudo-t-operator
fuzzy connectives; finite chain; t-operator; semi-t-operator; pseudo-t-operator
Summary:
Recently, Drygaś generalized nullnorms and t-operators and introduced semi-t-operators by eliminating commutativity from the axiom of t-operators. This paper is devoted to the study of the discrete counterpart of semi-t-operators on a finite totally ordered set. A characterization of semi-t-operators on a finite totally ordered set is given. Moreover, The relations among nullnorms, t-operators, semi-t-operators and pseudo-t-operators (i. e., commutative semi-t-operators) on a finite totally ordered set are shown.
References:
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