| 广义模糊实数及其水平集 |
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| 引用本文： | 韩慧蓉 曹怀信. 广义模糊实数及其水平集[J]. 西安工业大学学报, 2007, 27(1): 99-102 |
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| 作者姓名： | 韩慧蓉 曹怀信 |
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| 作者单位： | 陕西师范大学数学与信息科学学院，陕西师范大学数学与信息科学学院 西安710062，西安航空技术高等专科学校基础部，西安710077，西安710062 |
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| 基金项目： | 国家科学基金资助项目(10561113) |
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| 摘 要： | 研究广义模糊实数及其水平集之间的关系.利用已有的模糊数的定义,引入广义模糊实数及其水平集的概念,定义了广义模糊实数的加、减、乘、除运算和序.建立了广义模糊实数及其水平集之间的关系,证明了一些重要性质.将原有的模糊实数推广为广义模糊数,对于模糊数学的研究具有实际意义.
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| 关 键 词： | 广义模糊数 水平集 模糊凹性 正规性 上半连续性 |
| 文章编号： | 1000-5714（2007）01-099-03 |
| 收稿时间： | 2006-06-27 |
| 修稿时间： | 2006-06-27 |
Generalized Fuzzy Real Numbers and Level Sets |
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| HAN Hui-rong , CAO Huai-xin. Generalized Fuzzy Real Numbers and Level Sets[J]. Journal of Xi'an Institute of Technology, 2007, 27(1): 99-102 |
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| Authors: | HAN Hui-rong CAO Huai-xin |
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| Abstract: | The relationship between the generalized fuzzy real number and its level set is studied.Based on the usual fuzzy real numbers,the concept of generalized fuzzy real number and its level set is introduced.The partial order and the operations of these numbers such as sum,minus,product and division are also defined.The relationship between the generalized fuzzy real number and its level set is established and some properties concerned are proved.Generalizing the usual fuzzy real numbers is of significance for the study of the fuzzy mathmatics. |
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| Keywords: | generalized fuzzy real number level set fuzzy concavity normality upper semicontinuity |
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