| Fuzzy概率空间的Fuzzy格刻划 |
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| 引用本文： | 贾武,刘蔚萍. Fuzzy概率空间的Fuzzy格刻划[J]. 数学杂志, 2005, 25(6): 691-694 |
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| 作者姓名： | 贾武 刘蔚萍 |
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| 作者单位： | 1. 武汉大学系统工程研究所,湖北,武汉,430072
2. 华中科技大学数学系,湖北,武汉,430074 |
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| 摘 要： | 本文研究了Fuzzy概率空间中Fuzzy事件及概率的代数性质.利用Fuzzy概率空间中的概率为集函数这一特征和Fuzzy格的相关理论，得到了Fuzzy概率空间中的概率是从一个Fuzzy格到某个区间的Fuzzy格模同态，并将概率分解成Fuzzy格同态与Fuzzy格模同态的乘积。
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| 关 键 词： | Fuzzy格 Fuzzy σ-代数 三角模 Fuzzy格模同态 |
| 文章编号： | 0255-7797（2005）06-0691-04 |
| 收稿时间： | 2003-08-20 |
| 修稿时间： | 2003-08-202003-08-20 |
FUZZY PROBABILITY SPACES CHARCTERIZED BY FUZZY LATTICES |
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| JIA Wu,LIU Wei-ping. FUZZY PROBABILITY SPACES CHARCTERIZED BY FUZZY LATTICES[J]. Journal of Mathematics, 2005, 25(6): 691-694 |
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| Authors: | JIA Wu LIU Wei-ping |
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| Affiliation: | 1. Institute of System Engineering, Wuhan University, Wuhan , 430072; 2. Dept. of Math. , Huazhong University of Science and Technology ,Wuhan ,430074 |
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| Abstract: | In this paper, we make researches on algebraic properties of the fuzzy events and the probability of fuzzy probability spaces. By the set features of the probability of the fuzzy probability spaces and the correlative theory of fuzzy lattices, we obtain that the probability of the fuzzy probability spaces is a fuzzy lattice modular homomorphism from a fuzzy lattice to an interval, and decompose the probability into the product of a fuzzy lattice homomorphism and a fuzzy lattice modular homomorphism. |
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