Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
389070 | Fuzzy Sets and Systems | 2016 | 15 Pages |
Abstract
We introduce and study the notions of lower Wijsman topology, upper Wijsman topology and Wijsman topology of a fuzzy metric space in the sense of Kramosil and Michalek. In particular, quasi-uniformizability, uniformizability, quasi-metrizability and metrizability of these topologies are discussed. Their relations with other hypertopologies are also analyzed. Corresponding results to the Wijsman topology of a metric space are deduced from our approach with the help of the standard fuzzy metric.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
J. Gutiérrez García, J. Rodríguez-López, S. Romaguera, M. Sanchis,