Soft ordered semigroups

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2010 English Publisher:WileyJournal:Mathematical Logic Quarterly, volume 56, pages 42-50 (issn: 0942-5616, eissn: 1521-3870,

Copyright policy )

Authors: Young Bae Jun; Kyoung Ja Lee; Asghar Khan;

doi: 10.1002/malq.200810030

Soft ordered semigroups

- Summary
- Subjects
- Metrics

Abstract

AbstractMolodtsov introduced 1999 the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of soft sets by Molodtsov to ordered semigroups. The notions of (trivial, whole) soft ordered semigroup, soft ordered subsemigroup, soft left (right) ideal, and left (right) idealistic soft ordered semigroup are introduced, and various related properties are investigated (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Related Organizations

Gyeongsang National University
Korea (Republic of)
Quaid-i-Azam University
Pakistan

Keywords

soft ordered semigroup, idealistic soft ordered semigroup, Ordered semigroups and monoids, soft set, ordered semigroup

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	92
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%