Kybernetika 51 no. 4, 667-677, 2015

Semi-t-operators on a finite totally ordered set

Yong Su and Hua-wen LiuDOI: 10.14736/kyb-2015-4-0667

Abstract:

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.

Keywords:

finite chain, fuzzy connectives, t-operator, semi-t-operator, pseudo-t-operator

Classification:

03E72

paper.pdf

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