On the distributivity equation for uni-nullnorms

Ya-Ming Wang; Hua-Wen Liu

Kybernetika (2019)

  • Volume: 55, Issue: 1, page 24-43
  • ISSN: 0023-5954

Abstract

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A uni-nullnorm is a special case of 2-uninorms obtained by letting a uninorm and a nullnorm share the same underlying t-conorm. This paper is mainly devoted to solving the distributivity equation between uni-nullnorms with continuous Archimedean underlying t-norms and t-conorms and some binary operators, such as, continuous t-norms, continuous t-conorms, uninorms, and nullnorms. The new results differ from the previous ones about the distributivity in the class of 2-uninorms, which have not yet been fully characterized.

How to cite

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Wang, Ya-Ming, and Liu, Hua-Wen. "On the distributivity equation for uni-nullnorms." Kybernetika 55.1 (2019): 24-43. <http://eudml.org/doc/294846>.

@article{Wang2019,
abstract = {A uni-nullnorm is a special case of 2-uninorms obtained by letting a uninorm and a nullnorm share the same underlying t-conorm. This paper is mainly devoted to solving the distributivity equation between uni-nullnorms with continuous Archimedean underlying t-norms and t-conorms and some binary operators, such as, continuous t-norms, continuous t-conorms, uninorms, and nullnorms. The new results differ from the previous ones about the distributivity in the class of 2-uninorms, which have not yet been fully characterized.},
author = {Wang, Ya-Ming, Liu, Hua-Wen},
journal = {Kybernetika},
keywords = {fuzzy connectives; uni-nullnorms; T-norms; T-conorms; nullnorms; uninorms; distributivity equation},
language = {eng},
number = {1},
pages = {24-43},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On the distributivity equation for uni-nullnorms},
url = {http://eudml.org/doc/294846},
volume = {55},
year = {2019},
}

TY - JOUR
AU - Wang, Ya-Ming
AU - Liu, Hua-Wen
TI - On the distributivity equation for uni-nullnorms
JO - Kybernetika
PY - 2019
PB - Institute of Information Theory and Automation AS CR
VL - 55
IS - 1
SP - 24
EP - 43
AB - A uni-nullnorm is a special case of 2-uninorms obtained by letting a uninorm and a nullnorm share the same underlying t-conorm. This paper is mainly devoted to solving the distributivity equation between uni-nullnorms with continuous Archimedean underlying t-norms and t-conorms and some binary operators, such as, continuous t-norms, continuous t-conorms, uninorms, and nullnorms. The new results differ from the previous ones about the distributivity in the class of 2-uninorms, which have not yet been fully characterized.
LA - eng
KW - fuzzy connectives; uni-nullnorms; T-norms; T-conorms; nullnorms; uninorms; distributivity equation
UR - http://eudml.org/doc/294846
ER -

References

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