| 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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