On fuzzy metric groups

Authors:
Salvador Romaguera;Manuel Sanchis
Affiliations:
Escuela de Caminos, Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, Apartado 22012, Camino de Vera 14, 46071 Valencia, Spain;Departamento de Matemátieas, Universidad Jaume I, Campus de Riu See, 12071 Castellón, Spain
Venue:
Fuzzy Sets and Systems
Year:
2001

Citing 4
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Abstract

We introduce and study a notion of fuzzy metric group which permits us to obtain satisfactory extensions of classical theorems on metric groups to the fuzzy setting. We also investigate properties of the quotient subgroups of a fuzzy metric group.