Semi-t-operators on a finite totally ordered set

Yong Su; Hua-Wen Liu

Kybernetika (2015)

  • Volume: 51, Issue: 4, page 667-677
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Su, Yong, and Liu, Hua-Wen. "Semi-t-operators on a finite totally ordered set." Kybernetika 51.4 (2015): 667-677. <http://eudml.org/doc/271832>.

@article{Su2015,
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.},
author = {Su, Yong, Liu, Hua-Wen},
journal = {Kybernetika},
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},
language = {eng},
number = {4},
pages = {667-677},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Semi-t-operators on a finite totally ordered set},
url = {http://eudml.org/doc/271832},
volume = {51},
year = {2015},
}

TY - JOUR
AU - Su, Yong
AU - Liu, Hua-Wen
TI - Semi-t-operators on a finite totally ordered set
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 4
SP - 667
EP - 677
AB - 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.
LA - eng
KW - fuzzy connectives; finite chain; t-operator; semi-t-operator; pseudo-t-operator; fuzzy connectives; finite chain; t-operator; semi-t-operator; pseudo-t-operator
UR - http://eudml.org/doc/271832
ER -

References

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