查询词典 fuzzy set

In this paper, we deal with the complete extension of a fuzzy relation and obtain the following main conclusion. Every reflexive,*-antisymmetric and *-transitive fuzzy relation can be extended to a complete reflexive,*-antisymmetric and *-transitive fuzzy relation, namely, every partial order can be extended to a linear order.

文章研究了一个模糊关系的完全扩张问题，主要结果为：一个自反的、*-反对称的*、-传递的模糊关系可以扩张成为一个完全的、自反的、*-反对称的、*-传递的模糊关系，即任何一个偏序都可以扩张成一个线性序。

This paper mainly involves the design of fuzzy control system based on the variable universe method and the design of adaptive fuzzy control system based on the universal approximation theorem of fuzzy system.

本论文主要涉及变论域模糊控制和基于模糊系统泛逼近理论的自适应模糊控制两个方面的内容。

A new generalized fuzzy hyperbolic model is proposed, which can be seen as the generalization of common fuzzy hyperbolic model. The generalized fuzzy hyperbolic model is proven to be a universal approximator. Two identification algorithms are put forward to identify the model from input/out data.

通过对模糊双曲正切模型的改进，提出一种广义模糊双曲正切模型，证明了此模型可以以任意精度逼近紧集上的连续非线性函数，即此模型具有全局逼近性，并给出其辨识算法。

The method utilizes fuzzy ordered weighted averaging operator to aggregate the fuzzy linguistic evaluation information given by experts, and then uses the expected values formula of triangular fuzzy numbers to obtain the weighted vector of factors determining the scale of logistics park.

结合模糊集理论和多属性群决策理论，提出基于模糊语言多属性群决策的物流因区规模确定模型。

Interval-valued intuitionistic fuzzy numbers; operation laws; pure interval-valued intuitionistic fuzzy weighted arithmetric averagingoperator; pure interval-valued intuitionistic fuzzy ordered weighted averaging operator

区间直觉模糊数；运算法则；纯区间直觉模糊数加权算术平均算子；纯区间直觉模糊数有序加权平均算子

The fuzzy entropy based on equivalent relation is extended to generalize the fuzzy entropy based on general binary relation, and the calculating formula and the equivalent expression of the generalized fuzzy entropy are also given.

并将基于等价关系的粗糙集的模糊熵拓展到基于一般二元关系下粗糙集的广义模糊熵，给出了广义模糊熵的计算公式及等效表示形式。

For the fuzzy group decision making problem, in which the preference patterns of both individual and group are fuzzy, the fuzzy Borda number rule is provided.

对于决策个体和决策群体的偏爱均为模糊结构的群体决策问题，建立了模糊 Borda数规则，并研究了它的性质和满足模糊偏爱公理系的情况。

We get the two edge blocking convergencetheorem of sequence of fuzzy numbers and the almost everywhere cut-convergence theorem ofmonotone bounded sequence of fuzzy numbers, and point out that monotone bounded sequenceof fuzzy numbers may not cut-converges and converges.

讨论了模糊数列的收敛、截收敛、几乎处处截收敛性，得到了模糊数列收敛的夹逼定理及单调序有界模糊数列必几乎处处截收敛定理，并指出了单调序有界模糊数列未必截收敛、收敛。

It is pointed out that the category of L-fuzzy topological vector spaces is isomorphic to the full subcategory of the category of I -fuzzy topological vector spaces, whose elements are induced I -fuzzy topological spaces.

指出了格值模糊拓扑线性空间范畴同构于I型fuzzy线性拓扑空间范畴中诱导空间构成的满子范畴。

Using the equivalent condition under which the limit of a sequence of fuzzy numbers exists in the sense of level convergence, we analyze the structure of the level continuous fuzzy number valued function. On the basis of it, we prove the level continuous fuzzy number valued function on a closed interval exists supremum and infimum and give the precise representation.

利用模糊数序列水平收敛意义下极限存在的充要条件，在分析了水平连续函数结构特点的基础上，证明了闭区间上水平连续的模糊数值函数存在上、下确界，并给出了上、下确界的具体表达式。

Aquatic or marsh-growing fern allies; known to have existed since the Cenozoic; sometimes included in Lycopodiales.

生活于水中或湿地的蕨类；从新生代生存至今；有时归于石松目之中。

The engine was uprated from a 90hp Franklin to a 125hp Lycoming.

改良过的引擎是从90hp到125hp莱康明富兰克林。