The topological structure of fuzzy sets with sendograph metric

DOI10.1016/j.topol.2013.05.024zbMath1280.03053OpenAlexW2080013568MaRDI QIDQ387180

Li-Li Zhang

Publication date: 20 December 2013

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2013.05.024

zbMATH Keywords

metric spacefuzzy setcompact setHilbert cubeabsolute retractupper semicontinuous functionendograph metricsendograph metricdisjoint cell propertyHilbert space \(\ell^2\)homotopy dense subsetpseudoboundarypseudointerior

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Theory of fuzzy sets, etc. (03E72) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items

The topological structure of the set of fuzzy numbers with \(L_p\) metric ⋮ The topological structure of the space of fuzzy compacta ⋮ The topological structure of the set of fuzzy numbers with the supremum metric ⋮ The topological structure of function space of transitive maps ⋮ Sensitivity and strong sensitivity on induced dynamical systems ⋮ Some properties of the \(d_p\)-metrics on fuzzy sets

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