| 模糊近环新进展 |
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| 引用本文： | 廖祖华,曹姝,胡淼菡. 模糊近环新进展[J]. 上饶师范学院学报, 2011, 31(3): 11-17 |
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| 作者姓名： | 廖祖华 曹姝 胡淼菡 |
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| 作者单位： | 江南大学理学院,江苏无锡,214122 |
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| 基金项目： | 江苏省教育科学“十一五”规划基金项目(D/2006/01/171); 江苏省教育厅项目:江苏省高等学校大学生实践创新训练计划(模糊集与粗糙集的研究2009-598); 江南大学创新团队发展计划资助项目应用数学(200902) |
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| 摘 要： | 模糊近环问题是模糊代数中的一个重要的问题。在近几十年解决这一问题的过程中,模糊代数的研究领域和研究方法得到了极大的丰富和发展。文章首先阐述了模糊近环的历史背景以及目前国内外模糊近环的研究进展,然后介绍了（∈,∈∨q（λμ））-模糊子近环和理想,（—∈,—∈∨q—（λμ））-模糊子近环及其理想,R-广义模糊子近环及其理想的概念以及它们的相关性质。
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| 关 键 词： | 模糊子近环 模糊理想 （∈,∈∨q（λμ））-模糊子近环和理想 （∈—,∈—∨q-（λμ））-模糊子近环及其理想 R-广义模糊子近环（理想） |
New Development of Fuzzy Near-ring |
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| LIAO Zu-hua,CAO Shu,HU Miao-han. New Development of Fuzzy Near-ring[J]. Journal of Shangrao Normal College, 2011, 31(3): 11-17 |
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| Authors: | LIAO Zu-hua CAO Shu HU Miao-han |
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| Affiliation: | LIAO Zu-hua,CAO Shu,HU Miao-han(Schools of Science,Jiangnan University,Jiangsu Wuxi 214122,China) |
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| Abstract: | Fuzzy near-ring problem is an important problem in fuzzy algebra.The research area and approach of fuzzy algebra have been enlarged and developed essentially during recent decades,in which the fuzzy near-ring problem was solved completely.In this paper,we firstly recall the history of fuzzy near-ring and give an overview of fuzzy near-ring at home and abroad,then we introduce the concepts of fuzzy subnear-ring and ideal,fuzzy subnear-ring and ideal,R-generalized fuzzy subnear-ring and ideal.At the same time... |
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| Keywords: | Fuzzy subnear-ring fuzzy ideal fuzzy subnear-ring and ideal R-generalized fuzzy subnear-ring(ideal) |
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