| Title:
|
Generating methods for principal topologies on bounded lattices (English) |
| Author:
|
Karaçal, Funda |
| Author:
|
Ertuğrul, Ümit |
| Author:
|
Kesicioğlu, M. Nesibe |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
57 |
| Issue:
|
4 |
| Year:
|
2021 |
| Pages:
|
714-736 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, some generating methods for principal topology are introduced by means of some logical operators such as uninorms and triangular norms and their properties are investigated. Defining a pre-order obtained from the closure operator, the properties of the pre-order are studied. (English) |
| Keyword:
|
principal topology |
| Keyword:
|
bounded lattice |
| Keyword:
|
generating method |
| Keyword:
|
uninorm |
| Keyword:
|
triangular norm |
| MSC:
|
03B52 |
| MSC:
|
03E72 |
| MSC:
|
06B30 |
| MSC:
|
06F30 |
| MSC:
|
08A72 |
| MSC:
|
54A10 |
| idZBL:
|
Zbl 07478636 |
| idMR:
|
MR4332889 |
| DOI:
|
10.14736/kyb-2021-4-0714 |
| . |
| Date available:
|
2021-11-04T13:03:02Z |
| Last updated:
|
2022-02-24 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149216 |
| . |
| 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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[11] Fodor, J., Yager, R., Rybalov, A.: Structure of uninorms..Int. J. Uncertain. Fuzziness Knowledge-Based Systems 5 (1997), 411-427. Zbl 1232.03015, 10.1142/S0218488597000312 |
| Reference:
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| Reference:
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| Reference:
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| . |
