Triangular Fuzzy Relational Products of Level Fuzzy Relations

DOI

10.2991/asum.k.210827.005How to use a DOI?

Keywords

Fuzzy relational compositions, Fuzzy relational products, Bandler-Kohout triangular products, Cutability, α-level fuzzy relation, Classification, Dragonflies

Abstract

This paper firstly aims at investigating distinct properties of the Bandler-Kohout sub-product and superproduct of level fuzzy relations or level relations. We show that these triangular products preserve several desirable properties similar to those valid for the compositions of standard fuzzy relations. Moreover, we provide the relationship between the fuzzy cut of the Bandler-Kohout products of fuzzy relations and the same products of the fuzzy cut of the same arguments. Secondly, we discuss the appropriateness of the use of the suggested products for the classification task. The positive impact of such products is demonstrated on a numerical example and the real application of the Dragonfly classification problem.

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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TY  - CONF
AU  - Nhung Cao
AU  - Michal Burda
PY  - 2021
DA  - 2021/08/30
TI  - Triangular Fuzzy Relational Products of Level Fuzzy Relations
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  - 32
EP  - 39
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.005
DO  - 10.2991/asum.k.210827.005
ID  - Cao2021
ER  -