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

Title:

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

Creator:

Qiu, Dong, Lu, Chongxia, Deng, Shuai, and Wang, Liang

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:9fa4cf71-a1f5-423b-946a-193250c1ef8d
uuid:9fa4cf71-a1f5-423b-946a-193250c1ef8d

Subject:

Hausdorff metric, hyperspace, triangular norms, and stationary fuzzy metric

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[758]-773

Source:

Kybernetika | 2014 Volume:50 | Number:5

Harvested from:

CDK

Metadata only:

false