Ditopological texture spaces and fuzzy topology. I: basic concepts
type: Item
instance of: scholarly article
title: Ditopological texture spaces and fuzzy topology. I: basic concepts
zbMATH Open document ID: 1070.54002
author: Lawrence M. Brown
author: Rıza Ertürk
author: Şenol Dost
published in: Fuzzy Sets and Systems
publication date: 2004-11-23T00:00:00Z
review text: Textures, introduced by the first author in 1992, were studied by the first two authors [Fuzzy Sets Syst. 110, No. 2, 227--235 (2000; Zbl 0953.54010)]. In this paper, the authors define and investigate direlations and difunctions for textures, categories whose objects are textures and whose morphisms are difunctions or special point functions, several subcategories of this categories and functors between them.
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54E55
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 06D72
zbMATH DE Number: 2118375
zbMATH Keywords: texture
zbMATH Keywords: Hutton algebra
zbMATH Keywords: Hutton texture
zbMATH Keywords: \(\mathbb L\)-Fuzzy subset
zbMATH Keywords: product texture
zbMATH Keywords: disjoint union
zbMATH Keywords: direlation
zbMATH Keywords: difunction
zbMATH Keywords: category
zbMATH Keywords: construct
zbMATH Keywords: adjoint functor
reviewed by: Bernhard Behrens
MaRDI profile type: Publication
full work available at URL: j.fss.2004.02.009
OpenAlex ID: W2165167495
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DOI: 10.1016/J.FSS.2004.02.009
description: scientific article; zbMATH DE number 2118375