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)

Similarity-based Reasoning from the Perspective of Extensionality

Authors
Antonín Dvořák, Balasubramaniam Jayaram, Martin Štěpnička
Corresponding Author
Antonín Dvořák
Available Online 30 August 2021.
DOI
https://doi.org/10.2991/asum.k.210827.043How to use a DOI?
Keywords
Similarity-based reasoning, Similarity, Extensionality, Extensional fuzzy numbers, Approximate reasoning
Abstract

Similarity-based reasoning systems consider the notion of similarity as crucial for their motivation and the whole design. However, similarity can be seen not only as a general notion but also as a particular family of binary fuzzy relations modeling a fuzzy equality. Moreover, these relations are tightly connected to another crucial notion – to the extensionality of fuzzy sets. This contribution focuses on this natural bridge and studies similarity-based reasoning fuzzy inference systems from the point of view of extensionality. Robustness of these systems is the first property that is considered in the newly setup framework. However, the potential impact and topics of interest are much wider.

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  - Antonín Dvořák
AU  - Balasubramaniam Jayaram
AU  - Martin Štěpnička
PY  - 2021
DA  - 2021/08/30
TI  - Similarity-based Reasoning from the Perspective of Extensionality
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  - 322
EP  - 329
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.043
DO  - https://doi.org/10.2991/asum.k.210827.043
ID  - Dvořák2021
ER  -