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| On Fuzzy Preordered Structures and （Fuzzy） Hyperstructures | |
| 作者姓名： | Irina CRISTEA Morteza JAFARPOUR Seyed Sh. MOUSAVI |
| 作者单位： | [1]School of Applied Sciences, University of Nova Gorica, Vipavska 13, Nova Gorica 5000, Slovenia [2]Department of Civil Engineering and Architecture, University of Udine, Via delle Scienze 206, Udine 33100, Italy [3]Mathematics Department, Vali-e-Asr University of Rafsanjan, Rafsanjan 7718685753, Iran [4]Mathematics Department, Shahid Bahonar University of Kerman, Kerman 7619674419, Iran |
| 摘 要： | |
| 关 键 词： | 拟序结构 模糊点 连接点 半群 |
On fuzzy preordered structures and (Fuzzy) hyperstructures |
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| Irina CRISTEA,Morteza JAFARPOUR,Seyed Sh. MOUSAVI.On fuzzy preordered structures and (Fuzzy) hyperstructures[J].Acta Mathematica Sinica,2012,28(9):1787-1798. | |
| Authors: | Irina Cristea Morteza Jafarpour Seyed Sh Mousavi |
| Institution: | 1. School of Applied Sciences, University of Nova Gorica, Vipavska 13, Nova Gorica, 5000, Slovenia 2. Department of Civil Engineering and Architecture, University of Udine, Via delle Scienze 206, Udine, 33100, Italy 3. Mathematics Department, Vali-e-Asr University of Rafsanjan, Rafsanjan, 7718685753, Iran 4. Mathematics Department, Shahid Bahonar University of Kerman, Kerman, 7619674419, Iran |
| Abstract: | This article presents a connection between fuzzy preordered structures and hyperstructures. Firstly, we introduce the notion of fuzzy preordered semigroup and then, we construct a semihypergroup associated with it, giving some properties of the associated hyperstructure. Secondly, we define the notion of fuzzy preordered ring in order to construct a fuzzy hyperring. |
| Keywords: | Fuzzy preordered semigroup hypergroup fuzzy hyperring mutually associativity |
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