Some types of filters in MTL-algebras
type: Item
instance of: scholarly article
title: Some types of filters in MTL-algebras
zbMATH Open document ID: 1250.06017
author: R. A. Borzooei
author: S. Khosravi Shoar
author: R. Ameri
published in: Fuzzy Sets and Systems
publication date: 2012-06-18T00:00:00Z
review text: Some new types of filters in MTL-algebras are introduced and characterized. In the case of BL-algebras these new filters coincide with fantastic filters.
reviewed by: Wiesław A. Dudek
Mathematics Subject Classification ID: 06F35
Mathematics Subject Classification ID: 03G25
zbMATH DE Number: 6047120
zbMATH Keywords: MTL-algebra
zbMATH Keywords: BL-algebra
zbMATH Keywords: EIMTL-filter
zbMATH Keywords: IMTL-filter
zbMATH Keywords: strong filter
zbMATH Keywords: fantastic filter
zbMATH Keywords: positive implicative filter
MaRDI profile type: Publication
full work available at URL: j.fss.2011.09.001
OpenAlex ID: W2076771301
cites work: Some Properties of Residuated Lattices
cites work: Glivenko like theorems in natural expansions of BCK-logic
cites work: Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
cites work: Metamathematics of fuzzy logic
cites work: Some types of filters in BL algebras
cites work: Filter theory of BL algebras
cites work: Semi-divisible t-norms on discrete scales
cites work: Dense Elements and Classes of Residuated Lattices
cites work: Q4506244
cites work: Boolean deductive systems of BL-algebras
cites work: Q4542641
cites work: States on semi-divisible residuated lattices
DOI: 10.1016/J.FSS.2011.09.001
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description: scientific article; zbMATH DE number 6047120