Conditional distributivity of overlap functions over uninorms with continuous underlying operators

Hui Liu; Wenle Li

Kybernetika (2024)

  • Volume: 60, Issue: 6, page 694-722
  • ISSN: 0023-5954

Abstract

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The investigations of conditional distributivity are encouraged by distributive logical connectives and their generalizations used in fuzzy set theory and were brought into focus by Klement in the closing session of Linzs 2000. This paper is mainly devoted to characterizing all pairs $(O,F)$ of aggregation functions that are satisfying conditional distributivity laws, where $O$ is an overlap function, and $F$ is a continuous t-conorm or a uninorm with continuous underlying operators.

How to cite

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Liu, Hui, and Li, Wenle. "Conditional distributivity of overlap functions over uninorms with continuous underlying operators." Kybernetika 60.6 (2024): 694-722. <http://eudml.org/doc/299894>.

@article{Liu2024,
abstract = {The investigations of conditional distributivity are encouraged by distributive logical connectives and their generalizations used in fuzzy set theory and were brought into focus by Klement in the closing session of Linzs 2000. This paper is mainly devoted to characterizing all pairs $(O,F)$ of aggregation functions that are satisfying conditional distributivity laws, where $O$ is an overlap function, and $F$ is a continuous t-conorm or a uninorm with continuous underlying operators.},
author = {Liu, Hui, Li, Wenle},
journal = {Kybernetika},
language = {eng},
number = {6},
pages = {694-722},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Conditional distributivity of overlap functions over uninorms with continuous underlying operators},
url = {http://eudml.org/doc/299894},
volume = {60},
year = {2024},
}

TY - JOUR
AU - Liu, Hui
AU - Li, Wenle
TI - Conditional distributivity of overlap functions over uninorms with continuous underlying operators
JO - Kybernetika
PY - 2024
PB - Institute of Information Theory and Automation AS CR
VL - 60
IS - 6
SP - 694
EP - 722
AB - The investigations of conditional distributivity are encouraged by distributive logical connectives and their generalizations used in fuzzy set theory and were brought into focus by Klement in the closing session of Linzs 2000. This paper is mainly devoted to characterizing all pairs $(O,F)$ of aggregation functions that are satisfying conditional distributivity laws, where $O$ is an overlap function, and $F$ is a continuous t-conorm or a uninorm with continuous underlying operators.
LA - eng
UR - http://eudml.org/doc/299894
ER -

References

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