Non-dual fuzzy connections
type: Item
instance of: scholarly article
title: Non-dual fuzzy connections
zbMATH Open document ID: 1060.03042
author: George Georgescu
author: Andrei Popescu
published in: Archive for Mathematical Logic
publication date: 2005-02-11T00:00:00Z
review text: The present paper introduces and studies fuzzy conjugated pairs, with their underlying closure operators and hierarchical structure. Isotone versions of fuzzy Galois connections and closure operators are also studied, arguing that they are not dual to the antitone ones, but providing quite similar results about them. A form of artifical common treatment of classically dual notions that fail to be fuzzily dual is concretized into the concept of \((\alpha,\beta)\)-connection, which could be seen as recovering remains of duality by means of common polynominal invariants.
Mathematics Subject Classification ID: 03B52
Mathematics Subject Classification ID: 06A15
zbMATH DE Number: 2133519
zbMATH Keywords: fuzzy set
zbMATH Keywords: Galois connection
zbMATH Keywords: closure
reviewed by: Wiesław A. Dudek
MaRDI profile type: Publication
full work available at URL: s00153-004-0240-4
OpenAlex ID: W2007046457
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DOI: 10.1007/S00153-004-0240-4
description: scientific article; zbMATH DE number 2133519