Characterization of ordered semigroups in terms of fuzzy soft ideals
type: Item
instance of: scholarly article
title: Characterization of ordered semigroups in terms of fuzzy soft ideals
zbMATH Open document ID: 1258.06013
author: Yunqiang Yin
author: Jianming Zhan
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2012-10-10T00:00:00Z
full work available at URL: vol35 4 16.html
review text: Applying the concept of fuzzy soft sets, for an ordered semigroup, the concepts of \((\in_\gamma,\;\in_\gamma\vee q_\delta)\)-fuzzy soft left (right) ideals, \((\in_\gamma,\;\in_\gamma\vee q_\delta)\)-fuzzy soft bi-ideals and \((\in_\gamma,\;\in_\gamma\vee q_\delta)\)-fuzzy soft quasi-ideals are introduced and some of their properties are given. Then, the intra-regular, the left (right) quasi-regular, and the ordered semigroups which are both intra-regular and left quasi-regular in terms of \((\in_\gamma,\;\in_\gamma\vee q_\delta)\)-fuzzy soft left (right) ideals, \((\in_\gamma,\;\in_\gamma\vee q_\delta)\) fuzzy soft bi-(quasi)-ideals are characterized. Reviewer's remark: A subset \(X\) of an ordered semigroup is called idempotent if \(X=(X^2]\).
reviewed by: Niovi Kehayopulu
Mathematics Subject Classification ID: 06F05
Mathematics Subject Classification ID: 08A72
zbMATH DE Number: 6092342
zbMATH Keywords: ordered semigroup
zbMATH Keywords: fuzzy soft set
zbMATH Keywords: fuzzy soft ideal
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6092342