Soft BCK/BCI-algebras

Soft BCK/BCI-algebras
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DOI:
10.1016/j.camwa.2008.02.035
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发表时间:
2008-09-01
影响因子:
2.9
通讯作者:
Jun, Young Bae
Jun, Young Bae
中科院分区:
数学2区
文献类型:
--
作者:
Jun, Young Bae

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莫洛佐夫[D.莫洛佐夫软集理论-第一个结果,计算。Math.Appl.37(1999)19-31]引入了软集的概念,作为处理不确定性的新的数学工具,它没有困扰通常理论方法的困难。本文将Molodtsov的软集概念应用到BCK/BCI-代数理论中。引入了软BCK/BCI-代数和软子代数的概念,并给出了它们的基本性质。(C)2008爱思唯尔有限公司保留所有权利。
Molodtsov [D. Molodtsov. Soft set theory - First results, Comput. Math. Appl. 37 (1999) 19-31] introduced 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 the theory of BCK/BCI-algebras. The notion of soft BCK/BCI-algebras and soft subalgebras are introduced, and their basic properties are derived. (C) 2008 Elsevier Ltd. All rights reserved.