Note on "construction of uninorms on bounded lattices"

Xiu-Juan Hua; Hua-Peng Zhang; Yao Ouyang

Kybernetika (2021)

  • Issue: 2, page 372-382
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Hua, Xiu-Juan, Zhang, Hua-Peng, and Ouyang, Yao. "Note on "construction of uninorms on bounded lattices"." Kybernetika (2021): 372-382. <http://eudml.org/doc/297770>.

@article{Hua2021,
abstract = {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.},
author = {Hua, Xiu-Juan, Zhang, Hua-Peng, Ouyang, Yao},
journal = {Kybernetika},
keywords = {bounded lattices; uninorms; closure operators; interior operators},
language = {eng},
number = {2},
pages = {372-382},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Note on "construction of uninorms on bounded lattices"},
url = {http://eudml.org/doc/297770},
year = {2021},
}

TY - JOUR
AU - Hua, Xiu-Juan
AU - Zhang, Hua-Peng
AU - Ouyang, Yao
TI - Note on "construction of uninorms on bounded lattices"
JO - Kybernetika
PY - 2021
PB - Institute of Information Theory and Automation AS CR
IS - 2
SP - 372
EP - 382
AB - 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.
LA - eng
KW - bounded lattices; uninorms; closure operators; interior operators
UR - http://eudml.org/doc/297770
ER -

References

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  1. Birkhoff, G., Lattice Theory., AMS Colloquium Publishers, Providence,Rhode Island 1973. Zbl0537.06001MR0227053
  2. Çaylı, G. D., Karaçal, F., , Kybernetika 53 (2017), 394-417. MR3684677DOI
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  7. Drossos, C. A., Navara, M., Generalized t-conorms and closure operators., In: Proc. EUFIT '96, Aachen 1996, pp. 22-26. 
  8. Everett, C. J., , Trans. Amer. Math. Soc. 55 (1944), 514-525. MR0010556DOI
  9. Ji, W., , Fuzzy Sets Syst. 403 (2021), 38-55. MR4174507DOI
  10. Karaçal, F., Mesiar, R., , Fuzzy Sets Syst. 261 (2015), 33-43. MR3291484DOI
  11. Ouyang, Y., Zhang, H. P., , Fuzzy Sets Syst. 395 (2020), 93-106. MR4109063DOI
  12. Schweizer, B., Sklar, A., , Pac. J. Math. 10 (1960), 313-334. MR0115153DOI
  13. Xie, A. F., Li, S. J., , Fuzzy Sets Syst. 386 (2020), 95-104. MR4073391DOI
  14. Yager, R. R., Rybalov, A., , Fuzzy Sets Syst. 80 (1996), 111-120. MR1389951DOI

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