An investigation on algebraic structure of soft sets and soft filters over residuated lattices.
type: Item
instance of: scholarly article
title: An investigation on algebraic structure of soft sets and soft filters over residuated lattices.
zbMATH Open document ID: 1314.08002
DOI: 10.1155/2014/635783
author: Bijan Davvaz
author: Saeed Rasouli
published in: ISRN Algebra
publication date: 2014-06-16T00:00:00Z
review text: Summary: We introduce the notion of soft filters in residuated lattices and investigate their basic properties. We investigate relations between soft residuated lattices and soft filter residuated lattices. The restricted and extended intersection (union), \(\vee\) and \(\wedge\)-intersection, Cartesian product, and restricted and extended difference of the family of soft filters residuated lattices are established. Also, we consider the set of all soft sets over a universe set \(U\) and the set of parameters \(P\) with respect to \(U\), \(\mathrm{Soft}_P(U)\), and we study its structure.
Mathematics Subject Classification ID: 08A72
Mathematics Subject Classification ID: 03G25
Mathematics Subject Classification ID: 06F05
Mathematics Subject Classification ID: 06D72
zbMATH DE Number: 6304839
zbMATH Keywords: soft filters
zbMATH Keywords: soft residuated lattices
zbMATH Keywords: soft filter residuated lattices
zbMATH Keywords: soft sets
Wikidata QID: Q59048087
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/635783
OpenAlex ID: W2015171151
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description: scientific article; zbMATH DE number 6304839