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近环上的模糊软理想和反模糊软理想

On fuzzy soft ideals and anti fuzzy soft ideals in near-rings
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摘要 Molodtsov引入的软集理论,可作为通用的数学工具去处理不确定性问题。给出了近环上的模糊软理想和反模糊软理想的概念,对它们的性质进行了研究,进一步,定义了近环上的模糊软理想和反模糊软理想间的模糊软同态和模糊软同构,给出了近环上的模糊软理想和反模糊软理想的同构像定理和同态逆像定理。 Molodtsov introduces the concept of soft set theory which can be used as generic mathematical tool for dealing with uncertainty. The notions of fuzzy soft ideals and anti fuzzy soft ideals in near-rings are given. Some of their properties are studied. Furthermore, definitions of fuzzy soft homomorphism and fuzzy soft isomomorphism of fuzzy soft ideals and anti fuzzy soft ide- als in near-rings are defined and the theorems of isomomorphic image and homomorphic pre-image of fuzzy soft ideals and anti fuzzy soft ideals in near-rings are given.
作者 李瑞华
机构地区 陕西榆林学院信息工程学院
出处 《计算机工程与应用》 CSCD 2013年第6期123-126,共4页 Computer Engineering and Applications
关键词 模糊集 模糊软集 近环 模糊软理想 反模糊软理想 fuzzy set fuzzy soft set near-rings fuzzy soft ideals anti fuzzy soft ideals
分类号 O159.1 [理学—基础数学]
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参考文献15

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计算机工程与应用
2013年 第6期

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