Title:
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Note on "construction of uninorms on bounded lattices" (English) |
Author:
|
Hua, Xiu-Juan |
Author:
|
Zhang, Hua-Peng |
Author:
|
Ouyang, Yao |
Language:
|
English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 (print) |
ISSN:
|
1805-949X (online) |
Volume:
|
57 |
Issue:
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2 |
Year:
|
2021 |
Pages:
|
372-382 |
Summary lang:
|
English |
. |
Category:
|
math |
. |
Summary:
|
In this note, we point out that Theorem 3.1 as well as Theorem 3.5 in G. D. Çaylı and F. Karaçal (Kybernetika 53 (2017), 394-417) contains a superfluous condition. We have also generalized them by using closure (interior, resp.) operators. (English) |
Keyword:
|
bounded lattices |
Keyword:
|
uninorms |
Keyword:
|
closure operators |
Keyword:
|
interior operators |
MSC:
|
03B52 |
MSC:
|
03E72 |
MSC:
|
06B20 |
idZBL:
|
Zbl 07396272 |
idMR:
|
MR4273581 |
DOI:
|
10.14736/kyb-2021-2-0372 |
. |
Date available:
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2021-07-30T13:14:10Z |
Last updated:
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2021-11-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149044 |
. |
Reference:
|
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Reference:
|
[2] Çaylı, G. D., Karaçal, F.: Construction of uninorms on bounded lattices..Kybernetika 53 (2017), 394-417. MR 3684677, |
Reference:
|
[3] D.Çaylı, G., Karaçal, F., Mesiar, R.: On a new class of uninorms on bounded lattices..Inf. Sci. 367 - 368 (2016), 221-231. MR 3684677, |
Reference:
|
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Reference:
|
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Reference:
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Reference:
|
[7] Drossos, C. A., Navara, M.: Generalized t-conorms and closure operators..In: Proc. EUFIT '96, Aachen 1996, pp. 22-26. |
Reference:
|
[8] Everett, C. J.: Closure operators and Galois theory in lattices..Trans. Amer. Math. Soc. 55 (1944), 514-525. MR 0010556, |
Reference:
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[9] Ji, W.: Constructions of uninorms on bounded lattices by means of t-subnorms and t-subconorms..Fuzzy Sets Syst. 403 (2021), 38-55. MR 4174507, |
Reference:
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[10] Karaçal, F., Mesiar, R.: Uninorms on bounded lattices..Fuzzy Sets Syst. 261 (2015), 33-43. MR 3291484, |
Reference:
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[11] Ouyang, Y., Zhang, H. P.: Constructing uninorms via closure operators on a bounded lattice..Fuzzy Sets Syst. 395 (2020), 93-106. MR 4109063, |
Reference:
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Reference:
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Reference:
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