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Title: Semi-t-operators on a finite totally ordered set (English)
Author: Su, Yong
Author: Liu, Hua-Wen
Language: English
Journal: Kybernetika
ISSN: 0023-5954 (print)
ISSN: 1805-949X (online)
Volume: 51
Issue: 4
Year: 2015
Pages: 667-677
Summary lang: English
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Category: math
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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. (English)
Keyword: fuzzy connectives
Keyword: finite chain
Keyword: t-operator
Keyword: semi-t-operator
Keyword: pseudo-t-operator
MSC: 03E72
idZBL: Zbl 06530337
idMR: MR3423193
DOI: 10.14736/kyb-2015-4-0667
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Date available: 2015-11-20T12:21:11Z
Last updated: 2016-04-02
Stable URL: http://hdl.handle.net/10338.dmlcz/144474
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