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
- 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/).
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 - 10.2991/asum.k.210827.008 ID - Silva2021 ER -