Representation of uni-nullnorms and null-uninorms on bounded lattices

Yi-Qun Zhang; Ya-Ming Wang; Hua-Wen Liu

Kybernetika (2024)

  • Volume: 60, Issue: 1, page 76-89
  • ISSN: 0023-5954

Abstract

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In this paper, we present the representation for uni-nullnorms with disjunctive underlying uninorms on bounded lattices. It is shown that our method can cover the representation of nullnorms on bounded lattices and some of existing construction methods for uni-nullnorms on bounded lattices. Illustrative examples are presented simultaneously. In addition, the representation of null-uninorms with conjunctive underlying uninorms on bounded lattices is obtained dually.

How to cite

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Zhang, Yi-Qun, Wang, Ya-Ming, and Liu, Hua-Wen. "Representation of uni-nullnorms and null-uninorms on bounded lattices." Kybernetika 60.1 (2024): 76-89. <http://eudml.org/doc/299424>.

@article{Zhang2024,
abstract = {In this paper, we present the representation for uni-nullnorms with disjunctive underlying uninorms on bounded lattices. It is shown that our method can cover the representation of nullnorms on bounded lattices and some of existing construction methods for uni-nullnorms on bounded lattices. Illustrative examples are presented simultaneously. In addition, the representation of null-uninorms with conjunctive underlying uninorms on bounded lattices is obtained dually.},
author = {Zhang, Yi-Qun, Wang, Ya-Ming, Liu, Hua-Wen},
journal = {Kybernetika},
keywords = {bounded lattice; uni-nullnorm; null-uninorm; uninorm; T-norm},
language = {eng},
number = {1},
pages = {76-89},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Representation of uni-nullnorms and null-uninorms on bounded lattices},
url = {http://eudml.org/doc/299424},
volume = {60},
year = {2024},
}

TY - JOUR
AU - Zhang, Yi-Qun
AU - Wang, Ya-Ming
AU - Liu, Hua-Wen
TI - Representation of uni-nullnorms and null-uninorms on bounded lattices
JO - Kybernetika
PY - 2024
PB - Institute of Information Theory and Automation AS CR
VL - 60
IS - 1
SP - 76
EP - 89
AB - In this paper, we present the representation for uni-nullnorms with disjunctive underlying uninorms on bounded lattices. It is shown that our method can cover the representation of nullnorms on bounded lattices and some of existing construction methods for uni-nullnorms on bounded lattices. Illustrative examples are presented simultaneously. In addition, the representation of null-uninorms with conjunctive underlying uninorms on bounded lattices is obtained dually.
LA - eng
KW - bounded lattice; uni-nullnorm; null-uninorm; uninorm; T-norm
UR - http://eudml.org/doc/299424
ER -

References

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