Fuzzy connectedness and its stronger forms
type: Item
instance of: scholarly article
title: Fuzzy connectedness and its stronger forms
zbMATH Open document ID: 0588.54008
DOI: 10.1016/0022-247X(85)90229-X
author: U. V. Fatteh
author: D. S. Bassan
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: A topological space is said to be superconnected if each nonempty open subset is dense, and strongly connected if it is not the union of two nonempty proper open subsets. The authors study the analogues of ordinary connectedness and these two strong forms of connectedness in fuzzy topological spaces. Many elementary theorems on connectedness hold in the setting of fuzzy spaces, but some do not. For example, the fuzzy product of fuzzy connected spaces need not be fuzzy connected. The paper contains a very nice introduction to fuzzy sets and fuzzy topological spaces.
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54D05
zbMATH DE Number: 3944796
zbMATH Keywords: fuzzy connectedness
zbMATH Keywords: superconnectedness
zbMATH Keywords: strong forms of connectedness
MaRDI profile type: Publication
cites work: Fuzzy sets
cites work: Fuzzy topological spaces
cites work: Fuzzy topology: product and quotient theorems
cites work: Dense Topologies
cites work: Strongly Connected Sets in Topology
cites work: Neighborhoods, bases and continuity in fuzzy topological spaces
cites work: On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity
cites work: Q3966760
description: scientific article; zbMATH DE number 3944796