| 引用本文: | 姜华彪.Fuzzy 环的直和.[J].国防科技大学学报,1985,(3):105-110.[点击复制] |
| Jiang Huabiao.The Direct Sum of Fuzzy Rings[J].Journal of National University of Defense Technology,1985,(3):105-110[点击复制] |
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| Fuzzy 环的直和 |
| 姜华彪 |
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| 摘要: |
| 自 A.Rosenfeld 1971年提出 Fuzzy群的概念以来，Fuzzy代数有了较大的发展，发表了很多有关这方面的论文。本文作为这方面的继续，考虑了Fuzzy 环的直和，得到了环的直和环上的 Fuzzy环可表现为各个环上的 Fuzzy子环的直和的充要条件。最后指出了对 t-Fuzzy环也可以进行类似的讨论。 |
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| 投稿日期：1985-04-25 |
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| The Direct Sum of Fuzzy Rings |
| Jiang Huabiao |
| Abstract: |
| Many papers about Fuzzy algebra have been published since A. Rosenfeld presented the concept of Fuzzy subgroups in 1971. As further work in this respect，we study the direct sum of Fuzzy subrings in this paper，introduce the concepts of projective Fuzzy sets and marginal Fuzzy sets of direct sum rings，and abtain a necessary and sufficient condition that a Fuzzy subring on the direct sum of rings may be represented by the direct sum of Fuzzy subrings on each ring. Finally，a similar discussion of t-Fuzzy subrings is suggested. |
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