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)

An Alternative Characterization of t-norms and t-conorms On An Appropriate Bounded Lattice

Authors
Emel Aşıcı
Corresponding Author
Emel Aşıcı
Available Online 30 August 2021.
DOI
https://doi.org/10.2991/asum.k.210827.086How to use a DOI?
Keywords
Bounded lattice, triangular norm, triangular conorm, ordinal sum
Abstract

In this paper, we present new methods for constructing triangular norms and triangular conorms on an arbitrary bounded lattice under some constraints. Also, we give some illustrative examples for the clarity. Then, we investigate the relation between introduced methods and present methods given in Theorem 1 and Theorem 2. So, we obtain some important results from this investigation.

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  - Emel Aşıcı
PY  - 2021
DA  - 2021/08/30
TI  - An Alternative Characterization of t-norms and t-conorms On An Appropriate Bounded Lattice
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  - 639
EP  - 646
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.086
DO  - https://doi.org/10.2991/asum.k.210827.086
ID  - Aşıcı2021
ER  -