| Title:
|
Domination in the families of Frank and Hamacher t-norms (English) |
| Author:
|
Sarkoci, Peter |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
41 |
| Issue:
|
3 |
| Year:
|
2005 |
| Pages:
|
[349]-360 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Domination is a relation between general operations defined on a poset. The old open problem is whether domination is transitive on the set of all t-norms. In this paper we contribute partially by inspection of domination in the family of Frank and Hamacher t-norms. We show that between two different t-norms from the same family, the domination occurs iff at least one of the t-norms involved is a maximal or minimal member of the family. The immediate consequence of this observation is the transitivity of domination on both inspected families of t-norms. (English) |
| Keyword:
|
domination |
| Keyword:
|
Frank t-norm |
| Keyword:
|
Hamacher $t$-norm |
| MSC:
|
26D15 |
| idZBL:
|
Zbl 1249.26041 |
| idMR:
|
MR2181423 |
| . |
| Date available:
|
2009-09-24T20:09:23Z |
| Last updated:
|
2015-03-23 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135660 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| . |
