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1)  λ cut of a set
集合的λ-截点
1.
We transform it into the general parameter linear programming problem by means of the concept λ cut of a set,prove that the method is the extension of the method for the interval number linear programming with the concept of constraint satisfactory degree, and provide an efficient and satisfactory way for uncertainty linear programming problem.
对目标函数和约束条件均为集值的不确定线性规划问题 ,利用集合的λ-截点把集值线性规划问题转化为确定型的一般参数规划问题来解决 ,并证明了这种求解方法是区间线性规划基于满意度求解方法的推广。
2)  λ cut set
λ截集
1.
By introducing λ cut set,fuzzy numbers are converted into a series of interval numbers; by use of which,fuzzy stochastic reliability is calculated.
利用分解定理,取一系列λ截集,将模糊数转换为一系列区间数进行运算,得到了一种模糊随机可靠度的计算方法。
2.
For simplicity,the fuzzy stochastic reliability is calculated by transforming fuzzy numbers into a series of interval numbers via λ cut set theory.
为简化计算,将模糊数通过分解定理,取一系列λ截集,转换为一系列区间数进行计算。
3)  λ-cut sets
λ-截集
1.
The characteristics of rough down branch fuzzy sets,rough up branch fuzzy sets and rough both-branch fuzzy sets are discussed;Depending on the introduction of λ-cut sets and λ-strong cut sets,the mathematics structure and characterizations of rough both-branch fuzzy sets are discussed.
在粗糙集和双枝模糊集的基础上,给出了粗双枝模糊集的概念;讨论了粗下枝模糊集,粗上枝模糊集和粗双枝模糊集的性质;利用模糊集的λ-截集及λ-强截集,讨论了粗双枝模糊集的数学结构及表示。
4)  λ-strong cut sets
λ-强截集
1.
The characteristics of rough down branch fuzzy sets,rough up branch fuzzy sets and rough both-branch fuzzy sets are discussed;Depending on the introduction of λ-cut sets and λ-strong cut sets,the mathematics structure and characterizations of rough both-branch fuzzy sets are discussed.
在粗糙集和双枝模糊集的基础上,给出了粗双枝模糊集的概念;讨论了粗下枝模糊集,粗上枝模糊集和粗双枝模糊集的性质;利用模糊集的λ-截集及λ-强截集,讨论了粗双枝模糊集的数学结构及表示。
5)  λ-lower cut set
λ-下截集
6)  λ-cut set
λ–截集
1.
The method of λ-cut sets for the fuzzy-random variable was used to convert the problem of fuzzy-random probability into classical probability problem.
考虑两者的不确定性,把电压暂降引起的敏感设备故障定义为模糊随机事件,引入模糊随机变量的概念,建立电压暂降引起的敏感设备故障概率的模糊随机评估模型,利用模糊随机变量的λ–截集,把模糊随机变量的概率求解问题转化为普通随机变量的概率求解,保证了评估方法的可行性。
补充资料:λ点
分子式:
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性质:饱和液体4He的比热容随温度上升。在1.32K时,比热容为0.5862J/(g·K),到2.19K尖锐上升到最大值12.5604J/(g·K)。然后在0.002K间隔内突然急剧下降约2.093J/(g·K)。其变化形状很像希腊字母λ,这就是λ现象,该温度称λ点。从熔化点1.75K,3.04MPa起He I和He II分界线向下倾斜至饱和液体2.19K,5.04kPa止,这条分界线上各点都是λ点。在λ点,如表面张力、黏度、导热系数等性质也有突变。

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