Fuzzy \(\theta\)-connectedness
type: Item
instance of: scholarly article
title: Fuzzy \(\theta\)-connectedness
zbMATH Open document ID: 0805.54014
DOI: 10.1016/0165-0114(93)90204-U
author: Jin Han Park
author: Bu Young Lee
author: Jae Rong Choi
published in: Fuzzy Sets and Systems
publication date: 1995-02-05T00:00:00Z
review text: The authors introduce continuous-like mappings in fuzzy setting and fuzzy \(\theta\)-connected sets by the help of the concept of fuzzy \(\theta\)- closure. It is shown that for a fuzzy set \(A\) of a fuzzy regular space \(X\) the following is equivalent: (a) \(A\) is fuzzy connected set; (b) \(A\) is fuzzy \(\delta\)-connected; (c) \(A\) is fuzzy \(\theta\)-connected. Finally, the authors study the images of fuzzy \(\theta\)-connected sets under different types of continuous-like mappings.
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 516639
zbMATH Keywords: fuzzy \(\delta\)-closure
zbMATH Keywords: fuzzy \(\theta\)-closure
zbMATH Keywords: fuzzy \(\theta\)-connected sets
reviewed by: Sobhakar Ganguly
MaRDI profile type: Publication
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full work available at URL: 0165-0114(93)90204-u
OpenAlex ID: W2022296250
description: scientific article; zbMATH DE number 516639