The characterizations of hemirings in terms of fuzzy soft h-ideals
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- 作者：Yunqiang Yin (1) (2)
Jianming Zhan (3) - 关键词：Hemiring ; Fuzzy soft set ; $$(\in_{\gamma} ; \in_{\gamma} \! \vee { q_{\delta}})$$ ; fuzzy soft left (right) h ; ideals ; $$(\in_{\gamma} ; \in_{\gamma} \! \vee { q_{\delta}})$$ ; fuzzy soft h ; bi ; ideals (h ; quasi ; ideals) ; (Left) h ; hemiregular hemirings ; (Left) duo hemirings
- 刊名：Neural Computing & Applications
- 出版年：2012
- 出版时间：August 2012
- 年：2012
- 卷：21
- 期：1/suppl
- 页码：43-57
- 全文大小：427 KB
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Jianming Zhan (3)
1. Key Laboratory of Radioactive Geology and Exploration Technology Fundamental Science for National Defense East China Institute of Technology, 344000, Fuzhou, Jiangxi, China
2. School of Mathematics and Information Sciences, East China Institute of Technology, 344000, Fuzhou, Jiangxi, China
3. Department of Mathematics, Hubei University for Nationalities, 445000, Enshi, Hubei Province, China - ISSN：1433-3058
文摘
Maji et?al. introduced the concept of a fuzzy soft set, which is an extension to the concept of a soft set. In this paper, we apply the concept of a fuzzy soft set to hemiring theory. The concepts of $(\in_{\gamma},\in_{\gamma} \! \vee { q_{\delta}})$ -fuzzy soft left h-ideals (right h-ideals, h-bi-ideals, and h-quasi-ideals) are introduced, and some related properties are obtained. The notion of left (right) h-hemiregular hemirings is provided. Some characterization theorems of (left) h-hemiregular and (left) duo hemirings are derived in terms of $(\in_{\gamma},\in_{\gamma} \! \vee { q_{\delta}})$ -fuzzy soft left (right) h-ideals, $(\in_{\gamma},\in_{\gamma} \! \vee { q_{\delta}})$ -fuzzy soft h-bi-ideals, and $(\in_{\gamma},\in_{\gamma} \! \vee { q_{\delta}})$ -fuzzy soft h-quasi-ideals.