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Some notes on U-partial order

M. Nesibe Kesicioğlu; Ü. Ertuğrul; F. Karaçal

Kybernetika (2019)

  • Volume: 55, Issue: 3, page 518-530
  • ISSN: 0023-5954

Abstract

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In this paper, an equivalence on the class of uninorms on a bounded lattice is discussed. Some relationships between the equivalence classes of uninorms and the equivalence classes of their underlying t-norms and t-conorms are presented. Also, a characterization for the sets admitting some incomparability w.r.t. the U-partial order is given.

How to cite

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Kesicioğlu, M. Nesibe, Ertuğrul, Ü., and Karaçal, F.. "Some notes on U-partial order." Kybernetika 55.3 (2019): 518-530. <http://eudml.org/doc/294852>.

@article{Kesicioğlu2019,
abstract = {In this paper, an equivalence on the class of uninorms on a bounded lattice is discussed. Some relationships between the equivalence classes of uninorms and the equivalence classes of their underlying t-norms and t-conorms are presented. Also, a characterization for the sets admitting some incomparability w.r.t. the U-partial order is given.},
author = {Kesicioğlu, M. Nesibe, Ertuğrul, Ü., Karaçal, F.},
journal = {Kybernetika},
keywords = {uninorm; bounded lattice; partial order; equivalence; T-norm},
language = {eng},
number = {3},
pages = {518-530},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Some notes on U-partial order},
url = {http://eudml.org/doc/294852},
volume = {55},
year = {2019},
}

TY - JOUR
AU - Kesicioğlu, M. Nesibe
AU - Ertuğrul, Ü.
AU - Karaçal, F.
TI - Some notes on U-partial order
JO - Kybernetika
PY - 2019
PB - Institute of Information Theory and Automation AS CR
VL - 55
IS - 3
SP - 518
EP - 530
AB - In this paper, an equivalence on the class of uninorms on a bounded lattice is discussed. Some relationships between the equivalence classes of uninorms and the equivalence classes of their underlying t-norms and t-conorms are presented. Also, a characterization for the sets admitting some incomparability w.r.t. the U-partial order is given.
LA - eng
KW - uninorm; bounded lattice; partial order; equivalence; T-norm
UR - http://eudml.org/doc/294852
ER -

References

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