A note on induced and coinduced fuzzy topologies
type: Item
instance of: scholarly article
title: A note on induced and coinduced fuzzy topologies
zbMATH Open document ID: 0659.54004
DOI: 10.1016/0165-0114(88)90149-2
author: F. K. Mohannadi
author: M. W. Warner
published in: Fuzzy Sets and Systems
publication date: 1988-01-01T00:00:00Z
review text: If (X,\(\tau)\) is a topological space the authors call the topology w(\(\tau)\) of lower semi-continuous functions the `corresponding fuzzy topology'. The definition of `goodness' for a fuzzy topology is as follows: a property \(P_ f\) in (X,w(\(\tau)\)) is called a good extension of a property P in (X,\(\tau)\) when (X,w(\(\tau)\)) has \(P_ f\) iff (X,\(\tau)\) has P. The induced fuzzy topology and coinduced fuzzy topology, as defined usually, are `good'.
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 4078213
zbMATH Keywords: goodness of extension to fuzzy topology
zbMATH Keywords: (co)induced fuzzy topology
reviewed by: Sobhakar Ganguly
MaRDI profile type: Publication
full work available at URL: 0165-0114(88)90149-2
OpenAlex ID: W2037068827
cites work: Q5522002
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description: scientific article; zbMATH DE number 4078213