Incomparability with respect to the triangular order

Emel Aşıcı; Funda Karaçal

Kybernetika (2016)

  • Volume: 52, Issue: 1, page 15-27
  • ISSN: 0023-5954

Abstract

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In this paper, we define the set of incomparable elements with respect to the triangular order for any t-norm on a bounded lattice. By means of the triangular order, an equivalence relation on the class of t-norms on a bounded lattice is defined and this equivalence is deeply investigated. Finally, we discuss some properties of this equivalence.

How to cite

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Aşıcı, Emel, and Karaçal, Funda. "Incomparability with respect to the triangular order." Kybernetika 52.1 (2016): 15-27. <http://eudml.org/doc/276783>.

@article{Aşıcı2016,
abstract = {In this paper, we define the set of incomparable elements with respect to the triangular order for any t-norm on a bounded lattice. By means of the triangular order, an equivalence relation on the class of t-norms on a bounded lattice is defined and this equivalence is deeply investigated. Finally, we discuss some properties of this equivalence.},
author = {Aşıcı, Emel, Karaçal, Funda},
journal = {Kybernetika},
keywords = {triangular norm; $T$-partial order; bounded lattice},
language = {eng},
number = {1},
pages = {15-27},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Incomparability with respect to the triangular order},
url = {http://eudml.org/doc/276783},
volume = {52},
year = {2016},
}

TY - JOUR
AU - Aşıcı, Emel
AU - Karaçal, Funda
TI - Incomparability with respect to the triangular order
JO - Kybernetika
PY - 2016
PB - Institute of Information Theory and Automation AS CR
VL - 52
IS - 1
SP - 15
EP - 27
AB - In this paper, we define the set of incomparable elements with respect to the triangular order for any t-norm on a bounded lattice. By means of the triangular order, an equivalence relation on the class of t-norms on a bounded lattice is defined and this equivalence is deeply investigated. Finally, we discuss some properties of this equivalence.
LA - eng
KW - triangular norm; $T$-partial order; bounded lattice
UR - http://eudml.org/doc/276783
ER -

References

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