Topological properties of fuzzy numbers

Authors:
Roy Goetschel, Jr.;William Voxman
Affiliations:
-;-
Venue:
Fuzzy Sets and Systems
Year:
1983

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Abstract

Fuzzy numbers are defined and a metric is assigned to this class of fuzzy sets. Topological properties of the resulting metric space are studied. The notion of @q-crisp fuzzy numbers is introduced, and, in particular, it is shown that this class of fuzzy numbers is homeomorphic to the Hilbert cube.