Rough semigroups and rough fuzzy semigroups based on fuzzy ideals
type: Item
instance of: scholarly article
title: Rough semigroups and rough fuzzy semigroups based on fuzzy ideals
zbMATH Open document ID: 1372.20060
author: Qiumei Wang
author: Jianming Zhan
published in: Open Mathematics
publication date: 2017-01-17T00:00:00Z
review text: The authors of this article study some properties of rough subsemigroups and rough fuzzy subsemigroups of semigroups. They construct the \(t\)-level relation \(U(\mu, t)\) of a fuzzy ideal \(\mu\) of semigroups, and prove that \(U(\mu, t)\) is a congruence relation. The authors also consider the notions of lower and upper approximations based on a fuzzy ideal in semigroups, obtaining several interesting results.
reviewed by: T. M. G. Ahsanullah
Mathematics Subject Classification ID: 20N25
Mathematics Subject Classification ID: 20N99
Mathematics Subject Classification ID: 20M12
zbMATH DE Number: 6675362
zbMATH Keywords: fuzzy ideal
zbMATH Keywords: level sets
zbMATH Keywords: rough fuzzy semigroup
zbMATH Keywords: approximation
MaRDI profile type: Publication
full work available at URL: math-2016-0102
OpenAlex ID: W2568141316
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DOI: 10.1515/MATH-2016-0102
description: scientific article; zbMATH DE number 6675362