Journal
MATHEMATICAL LOGIC QUARTERLY
Volume 56, Issue 1, Pages 42-50Publisher
WILEY-V C H VERLAG GMBH
DOI: 10.1002/malq.200810030
Keywords
Soft set; soft ordered semigroup; soft ordered subsemigroup; idealistic soft ordered semigroup
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Molodtsov introduced 1999 the concept of;oft 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 scmigroup, soft ordered subsemigroup, soft left (right) ideal, and left (right) idealistic soft ordered semigroup are introduced, and various related properties are investigated. (C) 2010 WILEY-VCH Verlag GmbH & Co KGaA. Weinheim
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