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Construction methods for uni-nullnorms and null-uninorms on bounded lattice

Ümit Ertuğrul; M. Nesibe Kesicioğlu; Funda Karaçal

Kybernetika (2019)

  • Volume: 55, Issue: 6, page 994-1015
  • ISSN: 0023-5954

Abstract

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In this paper, two construction methods have been proposed for uni-nullnorms on any bounded lattices. The difference between these two construction methods and the difference from the existing construction methods have been demonstrated and supported by an example. Moreover, the relationship between our construction methods and the existing construction methods for uninorms and nullnorms on bounded lattices are investigated. The charactertics of null-uninorms on bounded lattice L are given and a contruction method is presented.

How to cite

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Ertuğrul, Ümit, Kesicioğlu, M. Nesibe, and Karaçal, Funda. "Construction methods for uni-nullnorms and null-uninorms on bounded lattice." Kybernetika 55.6 (2019): 994-1015. <http://eudml.org/doc/297279>.

@article{Ertuğrul2019,
abstract = {In this paper, two construction methods have been proposed for uni-nullnorms on any bounded lattices. The difference between these two construction methods and the difference from the existing construction methods have been demonstrated and supported by an example. Moreover, the relationship between our construction methods and the existing construction methods for uninorms and nullnorms on bounded lattices are investigated. The charactertics of null-uninorms on bounded lattice $L$ are given and a contruction method is presented.},
author = {Ertuğrul, Ümit, Kesicioğlu, M. Nesibe, Karaçal, Funda},
journal = {Kybernetika},
keywords = {uni-nullnorm; bounded lattices; uni-nullnorms; null-norms; uninorms; nullnorms; t-norms},
language = {eng},
number = {6},
pages = {994-1015},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Construction methods for uni-nullnorms and null-uninorms on bounded lattice},
url = {http://eudml.org/doc/297279},
volume = {55},
year = {2019},
}

TY - JOUR
AU - Ertuğrul, Ümit
AU - Kesicioğlu, M. Nesibe
AU - Karaçal, Funda
TI - Construction methods for uni-nullnorms and null-uninorms on bounded lattice
JO - Kybernetika
PY - 2019
PB - Institute of Information Theory and Automation AS CR
VL - 55
IS - 6
SP - 994
EP - 1015
AB - In this paper, two construction methods have been proposed for uni-nullnorms on any bounded lattices. The difference between these two construction methods and the difference from the existing construction methods have been demonstrated and supported by an example. Moreover, the relationship between our construction methods and the existing construction methods for uninorms and nullnorms on bounded lattices are investigated. The charactertics of null-uninorms on bounded lattice $L$ are given and a contruction method is presented.
LA - eng
KW - uni-nullnorm; bounded lattices; uni-nullnorms; null-norms; uninorms; nullnorms; t-norms
UR - http://eudml.org/doc/297279
ER -

References

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