Vague filters of residuated lattices
type: Item
instance of: scholarly article
title: Vague filters of residuated lattices
zbMATH Open document ID: 1302.03074
DOI: 10.1155/2014/120342
author: Shokoofeh Ghorbani
published in: Journal of Discrete Mathematics
publication date: 2014-11-13T00:00:00Z
review text: Summary: Notions of vague filters, subpositive implicative vague filters, and Boolean vague filters of a residuated lattice are introduced and some related properties are investigated. The characterizations of (subpositive implicative, Boolean) vague filters is obtained. We prove that the set of all vague filters of a residuated lattice forms a complete lattice and we find its distributive sublattices. The relation among subpositive implicative vague filters and Boolean vague filters are obtained and it is proved that subpositive implicative vague filters are equivalent to Boolean vague filters.
Mathematics Subject Classification ID: 03G25
zbMATH DE Number: 6369284
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/120342
OpenAlex ID: W2071587145
Wikidata QID: Q59048449
cites work: Fuzzy sets
cites work: Vague sets
cites work: Q3639883
cites work: Vague BCK/BCI-algebras
cites work: Residuated Lattices
cites work: Q4056047
cites work: Pseudo BL-algebra of fractions and maximal pseudo BL-algebra of quotients
cites work: Mathematics behind fuzzy logic
cites work: Q3078077
description: scientific article; zbMATH DE number 6369284