Geodesic
Semi-t-operators on a finite totally ordered set
Kybernetika, Tome 51 (2015) no. 4, pp. 667-677
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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.
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.
DOI : 10.14736/kyb-2015-4-0667
Classification : 03E72
Keywords: fuzzy connectives; finite chain; t-operator; semi-t-operator; pseudo-t-operator 
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Su, Yong; Liu, Hua-Wen. Semi-t-operators on a finite totally ordered set. Kybernetika, Tome 51 (2015) no. 4, pp. 667-677. doi: 10.14736/kyb-2015-4-0667

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