Title of article
Hyperspace of a fuzzy quasi-uniform space
Author/Authors
Pedraza, T. Instituto Universitario de Matem´atica Pura y Aplicada, Universitat Polit`ecnica de Val`encia - Camino de Vera, Valencia, Spain , ıguez-L´opez, Rodr Instituto Universitario de Matem´atica Pura y Aplicada, Universitat Polit`ecnica de Val`encia - Camino de Vera, Valencia, Spain
Pages
18
From page
97
To page
114
Abstract
The aim of this paper is to present a fuzzy counterpart method of constructing the Hausdorff quasi-uniformity of a
crisp quasi-uniformity. This process, based on previous works due to Morsi [25] and Georgescu [9], allows to extend
probabilistic and Hutton [0, 1]-quasi-uniformities on a set X to its power set. In this way, we obtain an endofunctor for
each one of the categories of those objects. We will demonstrate the commutativity of these endofunctors with Lowen
and Katsaras’ functors. Furthermore, we will prove the compatibility of our construction with the Hausdorff fuzzy
quasi-pseudometric introduced in
Keywords
Fuzzy implication , Hausdorff quasi-uniformity , probabilistic quasi-uniformity , Hutton [0, 1]-quasi-uniformity , fuzzy quasi-pseudometric , Hausdorff fuzzy quasi-pseudometric
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Serial Year
2020
Record number
2526335
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