Soft ordered semigroups

Soft ordered semigroups
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DOI:
10.1002/malq.200810030
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发表时间:
2010-02-01
影响因子:
0.3
通讯作者:
Khan, Asghar
Khan, Asghar
中科院分区:
数学4区
文献类型:
--
作者:
Jun, Young Bae;Lee, Kyoung Ja;Khan, Asghar

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Molodtsov于1999年引入了这一概念; oftset作为一种新的数学工具,用于处理不确定性,不受困扰通常理论方法的困难的困扰。本文将Molodtsov的软集概念应用于序半群,引入了(平凡的,整体的)软序半群,软序子半群,软左(右)理想,左(右)理想软序半群的概念,并研究了它们的一些相关性质. (C)WILEY-VCH Verlag GmbH & Co KGaA.魏因海姆
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