The characterizations of hemirings in terms of fuzzy soft h-ideals
The characterizations of hemirings in terms of fuzzy soft h-ideals
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DOI：
10.1007/s00521-011-0591-9
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发表时间：
2012-08
影响因子：
6
通讯作者：
Yunqiang Yin;J. Zhan
中科院分区：
文献类型：
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作者：
Yunqiang Yin;J. Zhan
Maji等人引入了模糊软集的概念，它是软集概念的扩展。本文将模糊软集的概念应用到半环理论中。引入了模糊软左理想（右理想、h-双理想和h-拟理想）的概念，并得到了一些相关性质。提供了左（右）h-半正则半分的概念。利用模糊软左（右）h-理想、-模糊软双理想和模糊软拟理想，导出了（左）h-半正则和（左）二半模糊的一些刻划定理。
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-fuzzy soft lefth-ideals (righth-ideals,h-bi-ideals, andh-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-fuzzy soft left (right)h-ideals,-fuzzy softh-bi-ideals, and-fuzzy softh-quasi-ideals.