Soft ordered semigroups |
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| Authors: | Young Bae Jun Kyoung Ja Lee Asghar Khan |
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| Institution: | 1. Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660‐701, Korea;2. Department of Mathematics, Quaid‐i‐Azam University, Islamabad, Parkistan |
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| Abstract: | Molodtsov 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) |
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| Keywords: | Soft set soft ordered semigroup soft ordered subsemigroup idealistic soft ordered semigroup |
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