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Advances in Fuzzy Sets and Systems

Abstract:
For a non-compact locally compact second countable Hausdorff space X, let

be the family of all the upper-semicontinuous fuzzy sets on X with non-empty compact supports. We show that the space

with the topology induced by G-convergence is homeomorphic to the radial-interior

of the Hilbert cube

except for finitely many

if X is non-discrete (resp. discrete).

Keywords and phrases: fuzzy sets, fell topology, G-convergence,

Number of Downloads: 311 | Number of Views: 935

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P-ISSN: 0973-421X

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