Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)

Extending Representability on the Set of Intervals Endowed with Admissible Orders for the Construction of Interval-valued Fuzzy Operators

Authors
Lidiane da Silva, Guilherme Schneider, Bruna Freitas, Adenauer Yamin, Helida Santos, Benjamín Bedregal, Renata Reiser
Corresponding Author
Lidiane da Silva
Available Online 30 August 2021.
DOI
https://doi.org/10.2991/asum.k.210827.008How to use a DOI?
Keywords
interval-valued fuzzy operators, interval-valued fuzzy logic, QL-implications, admissible orders
Abstract

In this work, we provide a study on the representability of interval-valued fuzzy connectives considering partial and admissible orders. Our approach considers those orders based on injective aggregation functions which allowed the construction of interval-valued operators. An immediate result is the construction of the implication used in the Quantum Logic, known as QL-implication, that in our proposal is generalised for intervals, given by means of interval-valued t-(co)norms and interval-valued fuzzy negations.

Copyright
© 2021, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Cite this article

TY  - CONF
AU  - Lidiane da Silva
AU  - Guilherme Schneider
AU  - Bruna Freitas
AU  - Adenauer Yamin
AU  - Helida Santos
AU  - Benjamín Bedregal
AU  - Renata Reiser
PY  - 2021
DA  - 2021/08/30
TI  - Extending Representability on the Set of Intervals Endowed with Admissible Orders for the Construction of Interval-valued Fuzzy Operators
BT  - Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
PB  - Atlantis Press
SP  - 55
EP  - 62
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.008
DO  - https://doi.org/10.2991/asum.k.210827.008
ID  - Silva2021
ER  -