Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

The strongest t-norm for fuzzy metric spaces

Dong Qiu;  Weiquan Zhang — 2013

Kybernetika

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.

On the hyperspace of bounded closed sets under a generalized Hausdorff stationary fuzzy metric

Dong Qiu;  Chongxia Lu;  Shuai Deng;  Liang Wang — 2014

Kybernetika

In this paper, we generalize the classical Hausdorff metric with t-norms and obtain its basic properties. Furthermore, for a given stationary fuzzy metric space with a t-norm without zero divisors, we propose a method for constructing a generalized Hausdorff fuzzy metric on the set of the nonempty bounded closed subsets. Finally we discuss several important properties as completeness, completion and precompactness.

Page 1

Download Results (CSV)