Soft semirings

Soft semirings
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DOI:
10.1016/j.camwa.2008.05.011
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发表时间:
2008-11-01
影响因子:
2.9
通讯作者:
Zhao, Xianzhong
Zhao, Xianzhong
中科院分区:
数学2区
文献类型:
--
作者:
Feng, Feng;Jun, Young Bae;Zhao, Xianzhong

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莫洛佐夫引入了软集的概念,可以将其视为处理不确定性的新数学工具。在本文中,我们利用软集理论开始了软半环的研究。介绍了软半环、软子半环、软理想、理想软半环和软半环同态的概念,并研究了一些相关性质。 (C) 2008 Elsevier Ltd. 保留所有权利。
Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we initiate the study of soft semirings by using the soft set theory. The notions of soft semirings, soft subsemirings, soft ideals, idealistic soft semirings and soft semiring homomorphisms are introduced, and several related properties are investigated. (C) 2008 Elsevier Ltd. All rights reserved.