ON PARTIAL METRIC SPACES OF FUZZY NUMBERS WITH THE LEVEL SETS
In this paper, we investigate some partial metric spaces with fuzzy level sets. By using the concept of the level set, we give the completeness of these spaces and obtain equivalent forms of the partial metric spaces which include fuzzy weighted and fuzzy quasi-metrics. Later we present some results on the completeness and topological properties and some related examples are given.
partial metric, fuzzy numbers, complete partial metric space, weighted quasi-metric.