1. The strongest t-norm for fuzzy metric spaces
- Creator:
- Qiu, Dong and Zhang, Weiquan
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- fuzzy metric space, t-norm, isometry, and analysis
- Language:
- English
- Description:
- In this paper, we prove that for a given positive continuous t-norm there is a fuzzy metric space in the sense of George and Veeramani, for which the given t-norm is the strongest one. For the opposite problem, we obtain that there is a fuzzy metric space for which there is no strongest t-norm. As an application of the main results, it is shown that there are infinite non-isometric fuzzy metrics on an infinite set.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public