Criteria for determining whether a t-norm is an additively generated cancellative one
Abstract Recently, Zong et al. demonstrated that a t-norm is an additively generated cancellative t-norm if and only if the fully ordered semigroup induced by it can be order-embedded into the multiplicative semigroup of the unit real interval. In the present study, we put forward several criteria for determining whether a t-norm is an additively generated cancellative one.
Authors
- Wenwen Zong (ORCID: https://orcid.org/0000-0002-0976-1733)
- Yong Su (ORCID: https://orcid.org/0000-0001-5746-9908)
- Radko Mesiar
Institutions
- Slovak University of Technology in Bratislava (SK)
- Suzhou University of Science and Technology (CN)
- University of Jinan (CN)
Publication Details
- Journal
- Logic Journal of IGPL
- Published
- 2025-11-12
- DOI
- https://doi.org/10.1093/jigpal/jzaf087
- Primary Topic
- Fuzzy and Soft Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00