As one of applications, the Jordan decomposition theorem of a properly defined signed vector-valued measure is obtained, and the signed vector-valued measure is just a fuzzy number-valued measure.
作为应用之一，在合理定义了广义矢值测度后，得到了约当分解定理，并且这种广义矢值测度就是一个模糊数值测度。
Based on the embedding theorem of fuzzy sets, we consider a sort of parameter family for the distribution of imprecise data and propose the corresponding point estimation approach.
基于模糊集的嵌入定理，对非精确数据的分布提出一种统计参数族，并给出相应的点估计方法。
Using the step response behavior of inertia process and the superposition theorem of linear system, this paper puts forward a fuzzy predictive model of dead-time processes.
利用惯性过程的阶跃响应特性和线性系统中的叠加原理，提出了纯滞后过程的模糊预估模型。
Finally, intuitionistic fuzzy relations are investigated with the proof of a theorem on intuitionistic fuzzy similar matrix.
最后，研究了直觉模糊相似关系，证明了直觉模糊相似矩阵的一个定理。
Based on the fundamental quality of fuzzy events, the basic theorem of fuzzy entropy is obtained.
运用模糊事件及概率测度的基本性质，给出了模糊熵的一些基本定理。
This paper gives the control convergent theorem of integral for fuzzy random functions on basis fuzzy functions and fuzzy integral.
在可测模糊随机函数及模糊值函数积分的基础上，研究了模糊值函数的有界控制收敛定理。
Based on resolution of interval Numbers and fuzzy resolution theorem, we develop a method of solving the structural fuzzy finite element equilibrium equations.
利用区间数的分解和模糊分解定理，研究了一种结构模糊有限元平衡方程的求解方法。
Some properties of VV normal fuzzy subgroup and VV fuzzy quotient group are discussed and the isomorphism theorem of VV fuzzy quotient group is established.
最后讨论了向量值正规模糊子群与向量值模糊商群的性质，同时建立了向量值模糊商群的同构定理。
The concept of fuzzy homomorphism of groups is introduced based on the fuzzy mapping and the fundamental theorem of fuzzy homomorphism is given.
利用模糊映射，给出群的模糊同态的概念，并得到模糊同态基本定理。
The union-representation theorem of both-branch fuzzy set is given, and some operational properties of both-branch fuzzy set are discussed.
建立了双枝模糊集并-表现定理，讨论了双枝模糊集的运算性质。
The operations of the dynamic fuzzy sets are defined, the basic properties of the dynamic fuzzy sets are discussed, and the decomposition theorem of the dynamic fuzzy sets is given.
定义了动态模糊集的运算，讨论了动态模糊集的基本性质，给出了动态摸糊集的分解定理。
Furthermore, an accurate calculation method for the multiplication of fuzzy Numbers is derived, and the fuzzy cost importance of each risk is obtained according to the representation theorem.
基于表现定理推导出三角模糊数相乘的精确求法，并求得各风险的模糊成本重要度。
At last, an important theorem, Fuzzy Schema theorem, is given.
还给出了一个重要的定理：模糊模式定理。
What is more, we offer a common fixed point theorem under the linear contractive condition in the setting of an intuitionistic fuzzy metric space.
另外，在直觉模糊半度量空间中，讨论了一个非线性压缩条件下的公共不动点定理。
This paper presents a research on the structure of fuzzy controller's rules based on the limiting structure theorem.
根据模糊控制器的解析结构，基于极限结构理论对模糊控制器规则进行结构辨识。
Based on the minimizing vector theorem of the fuzzy inner product space, the pseudo fuzzy orthogonal vector is defined and the projected theorem of the fuzzy inner product space is testified.
在模糊内积空间的极小化向量定理基础上，给出了向量拟模糊正交定义，并在模糊内积空间中证明了投影定理。
In particular, the second uniqueness theorem for normal L-fuzzy decompositions of the L-fuzzy ideals is given.
特别是对L模糊理想数的正规l模糊分解给出了第二个唯一性定理。
Does research in a common fixed point theorem of fuzzy mappings in inequality conditions and the cut set is the nonempty closed bounded subsets of, while is complete metric space.
研究了在完备度量空间中一对模糊映象满足一些特定不等式条件，以及当其截集是中非空有界闭集时，该对模糊映象的公共不动点的存在性问题。
The inferable theorem is discussed under the mixed circumstances under fuzzy functional dependency and fuzzy multivalued dependency.
讨论了在模糊函数依赖、模糊多值依赖混合作用下的推导公理系统；
Based on Dynamic Fuzzy Set, the Dynmic Fuzzy Measure theorem is proposed in this paper.
基于动态模糊集，提出动态模糊测度理论。
Based on Dynamic Fuzzy Set, the Dynmic Fuzzy Measure theorem is proposed in this paper.
基于动态模糊集，提出动态模糊测度理论。
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