Partial ordering in L-underdeterminate sets
type: Item
instance of: scholarly article
title: Partial ordering in L-underdeterminate sets
zbMATH Open document ID: 0576.06004
DOI: 10.1016/0020-0255(85)90045-3
author: Ulrich Höhle
author: Nicole Blanchard
published in: Information Sciences
publication date: 1985-01-01T00:00:00Z
review text: The paper introduces a new approach to the consideration of fuzzy relations. Properties of fuzzy relations are defined with respect to a fuzzy equivalence E in the crisp set X considered (the pair (X,E) is called an underdeterminate set). In particular, fuzzy partial order in (X,E) is considered and the existence of a linear extension in (X,E) is proved (a generalization of the Szpilrain theorem).
Mathematics Subject Classification ID: 06A06
Mathematics Subject Classification ID: 08A30
Mathematics Subject Classification ID: 08A02
zbMATH DE Number: 3920537
zbMATH Keywords: fuzzy relations
zbMATH Keywords: fuzzy equivalence
zbMATH Keywords: fuzzy partial order
zbMATH Keywords: linear extension
reviewed by: Józef Drewniak
MaRDI profile type: Publication
full work available at URL: 0020-0255(85)90045-3
OpenAlex ID: W2059408789
cites work: Q5331549
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cites work: A proof of the independence of the continuum hypothesis
cites work: Similarity relations and fuzzy orderings
description: scientific article; zbMATH DE number 3920537