查询词典 fuzzy set

We prove the fuzzy set-valued characteristicfunction of a compact Baire fuzzy set can be approached by fuzzy set-valuedcontinuous functions with fuzzy compact support sets,the integral of integrablesimple Baire fuzzy set-valued function can be approached not only by the integralsof integral simple fuzzy set-valued functions,but also by the integrals of fuzzy set-valued continuous function with fuzzy compact support sets.

定义了诱导空间上具有模糊紧支集的模糊集值连续函数，说明了它与分明的具有紧支集的连续函数的关系，证明了紧贝尔模糊集的模糊集值特征函数可以用具有模糊紧支集的连续函数列来逼近，可积简单贝尔模糊集值函数的积分可以用可积简单模糊集值函数的积分来逼近，还可以用具有模糊紧支集的模糊集值连续函数的积分来逼近。

Fuzzy set, Vague set and C(superscript *)-fuzzy set are extension of classical set theory. They are also results of fuzzy set theory development.

模糊集、Vague集和C-模糊集都是对经典集合论的扩展，同时又是模糊集合论分支的发展成果。

On this basis from the fuzzy set with the classic set of relations, the application of fuzzy set of the latest set of decomposition theorem, A new fuzzy definition of the fuzzy distance, definition and application of this research is partial order triangular fuzzy numbers fuzzy distance.

在此基础上从模糊集与经典集的关系出发，应用模糊集的截集以及分解定理，提出一种新的模糊集的模糊距离定义，并应用此定义研究具有偏序关系的三角模糊数的模糊距离。

In this thesis, we defined duality Fuzzy relation in a pointwise Fuzzy set by a set of duality Fuzzy point. Then we defined Fuzzy congruence and Fuzzy rough set in Fuzzy semigroups.

本文把二维模糊点作成的集合定义为一个点态化模糊集上的模糊二元关系，进一步定义模糊同余关系，并通过它又定义点态化模糊集上模糊粗糙子集，并研究了它们的一些性质。

Fuzzy classics, the fuzzy set of a summary and the future development of a briefing.

Fuzzy 的经典，对模糊集的一个总结和对未来发展的一个介绍。

By using the technigue of pointwise representation, this paper goes somewhat deeper into the theory of fuzzy subspaces. It has mainly studied the structure of generated fuzzy subspaces, and various relations between a fuzzy set and its generated fuzzy subspace are given. Furthermore, a pointwise representation theorem for fuzzy subspaces is presented.

本文利用点态表示方法进一步探讨了Fuzzy子空间理论，着重研究了生成Fuzzy子空间的结构，给出了Fuzzy集与其生成Fuzzy子空间之间的各种关系，进而，文章还给出了Fuzzy子空间的一个点态表示定理。

We prove that in every induced locally compact 〓fuzzy topological groupthere exist at least one regular fuzzy set-valued Haar measure.We define the fuzzymeasurable group and prove that the fuzzy set-valued Haar measure in a fuzzymeasurable group is essentially unique.We also construct the fuzzy topologicalstructure on a group by the fuzzy set-valued measure such that make it a fuzzytopological group.

证明了诱导局部紧〓模糊拓扑群上存在模糊集值Haar测度，定义了模糊可测群，通过对模糊可测群的研究证明了诱导局部紧〓模糊拓扑群上的模糊集值Haar测度本质上的唯一性，并利用模糊可测群上的模糊集值测度构造了群上的模糊拓扑结构使之成为模糊拓扑群。

From the point of view of measure theory, this paper gives the unified definition of measurable real fuzzy set-valued function and n-dimensional measurable real fuzzy set-valued function, and discusses the fundamental properties of them and their invers fuzzy set-valued function by combining with fuzzy σ-algebra.

5研究了有界闭复模糊数的四则运算、交并运算以及上下确界、上下极限与极限运算的若干基本性质

The paper tries to provide a synthetic fuzzy evaluation way to anal yze constrction project management ability and seriate the construction company by fuzzy set theory.

试图通过运用Fuzzy集合理论与模糊综合评审的方法，对这些模糊指标的数值进行分析，并在此基础上对建筑企业的项目管理能力进行排序。

Fuzzy sets and rough sets are means handling on fuzzy and indetermination. Today, fuzzy set theory, and rough set theory are combined in mathematics, and the combination is been adverted more and more by international academy.

二者是处理Fuzzy性和不确定性的数学工具，将二者结合起来研究，近年来越来越受到国际学术界的关注。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。