A characterization of bicompletable fuzzy quasi-metric spaces

Authors:
Valentin Gregori;Salvador Romaguera;Almanzor Sapena
Affiliations:
Escuela Politécnica Superior de Gandia, Universidad Politécnica de Valencia, 46730 Grau de Gandia, Valencia, Spain;Escuela de Caminos, Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, 46071 Valencia, Spain;Escuela Politécnica Superior de Gandia, Universidad Politécnica de Valencia, 46730 Grau de Gandia, Valencia, Spain
Venue:
Fuzzy Sets and Systems
Year:
2005

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Abstract

We obtain an internal characterization of those fuzzy quasi-metric spaces that admit a fuzzy quasi-metric bicompletion. We also show that such a bicompletion is unique up to isometry.