An extension of the ordering based on nullnorms

Emel Aşıcı

Kybernetika (2019)

  • Volume: 55, Issue: 2, page 217-232
  • ISSN: 0023-5954

Abstract

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In this paper, we generally study an order induced by nullnorms on bounded lattices. We investigate monotonicity property of nullnorms on bounded lattices with respect to the F -partial order. Also, we introduce the set of incomparable elements with respect to the F-partial order for any nullnorm on a bounded lattice. Finally, we investigate the relationship between the order induced by a nullnorm and the distributivity property for nullnorms.

How to cite

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Aşıcı, Emel. "An extension of the ordering based on nullnorms." Kybernetika 55.2 (2019): 217-232. <http://eudml.org/doc/294455>.

@article{Aşıcı2019,
abstract = {In this paper, we generally study an order induced by nullnorms on bounded lattices. We investigate monotonicity property of nullnorms on bounded lattices with respect to the $F$-partial order. Also, we introduce the set of incomparable elements with respect to the F-partial order for any nullnorm on a bounded lattice. Finally, we investigate the relationship between the order induced by a nullnorm and the distributivity property for nullnorms.},
author = {Aşıcı, Emel},
journal = {Kybernetika},
keywords = {nullnorm; partial order; bounded lattice; distributivity},
language = {eng},
number = {2},
pages = {217-232},
publisher = {Institute of Information Theory and Automation AS CR},
title = {An extension of the ordering based on nullnorms},
url = {http://eudml.org/doc/294455},
volume = {55},
year = {2019},
}

TY - JOUR
AU - Aşıcı, Emel
TI - An extension of the ordering based on nullnorms
JO - Kybernetika
PY - 2019
PB - Institute of Information Theory and Automation AS CR
VL - 55
IS - 2
SP - 217
EP - 232
AB - In this paper, we generally study an order induced by nullnorms on bounded lattices. We investigate monotonicity property of nullnorms on bounded lattices with respect to the $F$-partial order. Also, we introduce the set of incomparable elements with respect to the F-partial order for any nullnorm on a bounded lattice. Finally, we investigate the relationship between the order induced by a nullnorm and the distributivity property for nullnorms.
LA - eng
KW - nullnorm; partial order; bounded lattice; distributivity
UR - http://eudml.org/doc/294455
ER -

References

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