Generalized fuzzy \(h\)-bi-ideals and \(h\)-quasi-ideals of hemirings.
type: Item
instance of: scholarly article
title: Generalized fuzzy \(h\)-bi-ideals and \(h\)-quasi-ideals of hemirings.
zbMATH Open document ID: 1166.16024
author: Xueling Ma
author: Jianming Zhan
published in: Information Sciences
publication date: 2009-03-25T00:00:00Z
review text: The paper is a continuation on the previous author's paper [\textit{J. Zhan} and \textit{W. A. Dudek}, Inf. Sci. 177, No. 3, 876-886 (2007; Zbl 1118.16031)]. Now, prime and semiprime \((\in,\in\!\vee q)\)-fuzzy \(h\)-bi-ideals are described. Next, such ideals are used to the characterization of \(h\)-hemiregular and \(h\)-intra-hemiregular hemirings.
reviewed by: Wiesław A. Dudek
Mathematics Subject Classification ID: 16Y60
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 16D25
zbMATH DE Number: 5532943
zbMATH Keywords: hemirings
zbMATH Keywords: bi-ideals
zbMATH Keywords: quasi-ideals
zbMATH Keywords: hemiregularity
MaRDI profile type: Publication
full work available at URL: j.ins.2008.12.014
OpenAlex ID: W2031791047
cites work: \((\in,\in\vee\;q)\)-fuzzy subgroup
cites work: Operators that preserve semiring matrix functions
cites work: Linear operators strongly preserving idempotent matrices over semirings
cites work: \((\in,\in\!\vee q)\)-fuzzy subnear-rings and ideals.
cites work: Redefined fuzzy \(H_v\)-submodules and many valued implications.
cites work: Generalized fuzzy \(H_v\)-submodules endowed with interval valued membership functions.
cites work: Fuzzy sets and systems. Theory and applications
cites work: Special types of intuitionistic fuzzy left \(h\)-ideals of hemirings.
cites work: Q4880510
cites work: Q4846612
cites work: Q4449426
cites work: On the Jacobson radical of semiring
cites work: Q4700998
cites work: On fuzzy \(h\)-ideals in hemirings.
cites work: Q5693124
cites work: Q5696566
cites work: On fuzzy \(h\)-ideals of hemirings.
cites work: Fuzzy topology. I: Neighborhood structure of a fuzzy point and Moore-Smith convergence
cites work: On invertible matrices over antirings
cites work: On nilpotent matrices over antirings
cites work: Q5555052
cites work: The characterizations of \(h\)-hemiregular hemirings and \(h\)-intra-hemiregular hemirings.
cites work: Generalized fuzzy groups and many-valued implications
cites work: Fuzzy sets
cites work: Toward a generalized theory of uncertainty (GTU) -- an outline
cites work: Is there a need for fuzzy logic?
cites work: On properties of fuzzy left \(h\)-ideals in hemirings with \(t\)-norms.
cites work: Q5436115
cites work: A new view of fuzzy hypernear-rings.
cites work: Fuzzy \(h\)-ideals of hemirings.
cites work: Q4657792
DOI: 10.1016/J.INS.2008.12.014
description: scientific article; zbMATH DE number 5532943