Pointwise uniformities and pointwise metrics on fuzzy lattices
type: Item
instance of: scholarly article
title: Pointwise uniformities and pointwise metrics on fuzzy lattices
zbMATH Open document ID: 0882.54002
DOI: 10.1007/BF02882582
published in: Chinese Science Bulletin
publication date: 1998-03-03T00:00:00Z
review text: In fuzzy topology, there are pointlike structures. But on fuzzy uniformities and fuzzy metrics on fuzzy lattices, most works are made in pointless framework. In the paper the author first introduces the concept of the order-preserving and symmetric mapping. Moreover, based on his work on pointwise quasi-uniformity [Acta Math. Sin. 39, No. 5, 701-706 (1996; Zbl 0866.54023)], the author gives successfully the definition of the pointwise uniformity on fuzzy lattices. Correspondingly, results on the pointwise fuzzy metric are obtained.
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 06F30
Mathematics Subject Classification ID: 06D99
zbMATH DE Number: 1063719
zbMATH Keywords: fuzzy lattices
zbMATH Keywords: pointwise quasi-uniformity
zbMATH Keywords: pointwise fuzzy metric
author: Fu-Gui Shi
reviewed by: Yingming Liu
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf02882582
OpenAlex ID: W2010058237
description: scientific article; zbMATH DE number 1063719