查询词典 fuzzy set

We have introduced in [1] the concept of the normal fuzzy set structure which is a characterization and generalization of fuzzy set theory and we have proved that any one normal fuzzy set structure is a Boolean-valued model of the axiomatic set theory ZFa with urel...

本文是对文献[1]的一种阐明，详细地阐明了正规弗晰集合结构与弗晰集合论中的一些基本概念之间的联系与转换，同时引进了正规弗晰集合结构的序数、基数等基本概念。

We have introduced in [1] the concept of the normal fuzzy set structure which is a characterization and generalization of fuzzy set theory and we have proved that any one normal fuzzy set structure is a Boolean-valued model of the axiomatic set theory ZFa wit...

本文是对文献[1]的一种阐明，详细地阐明了正规弗晰集合结构与弗晰集合论中的一些基本概念之间的联系与转换，同时引进了正规弗晰集合结构的序数、基数等基本概念。

It is proved that there is a bijection between the set of fuzzy filters and the set of fuzzy congruence relations. Afterwards, the notion of normal mapping from a residuated lattice to another is defined .

本章的第三节引入了两个剩余格之间的正规映射，讨论了正规映射的一些性质，证明了由正规映射诱导的Zadeh型函数是保Fuzzy滤子的映射。

Cˉfuzzy set theory ; C ˉfuzzy set theory ; Zadeh's fuzzy set theory ; Classical set theory2000M SC:03E72

Cˉ模糊集合论； C ˇˉ模糊集合论； Zadeh模糊集合论；经典集合论

The main results of this paper are given as follows: In the first chapter , the concept of fuzzy filter is introduced. Some of its properties are investigated. The structure of fuzzy filters is discussed and it is proved that the set of all fuzzy filters of a residuated lattice is a distributive and complete lattice .

本文的主要内容如下：本文的第一章在剩余格中引入了Fuzzy滤子的概念，得到了它的一些特征性质；给出了Fuzzy滤子的结构，证明了剩余格中的Fuzzy滤子之集构成完备的分配格；利用Fuzzy滤子的特有结构，在剩余格中定义了Fuzzy滤子间的两个运算""，""

In this paper, firstly, it is stated that, an intuitionistic fuzzy sets is a L-fuzzy set, and a set of all intuitionistic fuzzy sets over X is a complete lattice.

首先指出一个直觉模糊集是L-模糊集且X上所有直觉模糊集的集合是一个完备格。

Zadeh put forward, make MTL-algebra"s filter conception fuzzified, provide the conceptions and properties of fuzzy filter, obtain the structure of all fuzzy, filters, prove that the set of all fuzzy filters forms a complete distribution lattice; Provide several fuzzy Boolean filter"s equivalent forms, introduce fuzzy positive implicative filter, fuzzy obstinate filter and fuzzy ultra filter, discuss some property characteristics and terms that transform each other under certain terms to obtain them.

Zadeh提出的模糊集思想使MTL-代数的滤子概念模糊化，给出了Fuzzy滤子的概念和性质，得到了全体Fuzzy滤子的结构，证明了全体Fuzzy滤子之集构成完备的分配格；给出了Fuzzy布尔滤子的若干等价形式，并且引入了Fuzzy正蕴涵滤子，Fuzzy固执滤子和Fuzzy超滤的概念，得出了它们的一些性质特征以及在一定条件下之间相互转化的条件。

In this article, we first discuss the various algebraic properties of fuzzy sets, and then define a fuzzy digraph by the fuzzy set and the fuzzy relation of the set.

在本文中，我们首先讨论迷离集合的各种代数性质，然后我们利用一个集合的迷离集合与其迷离关系来定义迷离有向图形。

For example, the Maximum Membership Function Principle is proposed in Chapter 2 on which the presently"scattered" ones among fuzzy mathematical operations for fuzzy control methods such as the acquisition of fuzzy relation, the composition of fuzzy relations and the fuzzy set projection algorithms can be unified to within a common theoretic frame; the geometric criterion for the redundant design parameters is developed for a class of fuzzy supervisory control algorithm in Chapter 4; such concepts as the metric equivalent distance between fuzzy rules are defined to realize the highly efficient reasoning process; consequently the strategy and algorithm for a dynamically commissioned fuzzy controller is given.

如在第二章中，提出了最大隶属度原则，从而将现有模糊控制方法中诸如模糊关系的获得、模糊关系的合成、模糊集的投影等"零碎"模糊数学运算统一到一个共同的理论框架之中；在第四章中，还针对一类模糊监督控制算法推导了其冗余设计参数的几何选取准则；为实现高效推理过程而定义了模糊规则间的距离当量等概念，在此基础上，提出了动态构造模糊控制器的策略和算法。

With the background of application of fuzzy control techniques to a rather typical complex control system, gas-burning water heater, theories, applications and techniques of fuzzy information processing have been studies. The obtained results include:(1) For lattice-valued logic systems based on lattice implication algebras, two dynamical lattice-valued propositional logic Lvpl and lattice-valued first-order logic Lvfl have been constructed, and some theories and methods of fuzzy reasoning have been proposed based on fuzzy set theory and multi-valued logic.(2) Some methods for designing and optimizing fuzzy control systems and some corresponding control algorithms have been proposed, and some new theories and methods for fuzzy control rule base and fuzzy control system performance analysis have been introduced.(3) 6 fuzzy control systems have been developed, and some difficult problems on craft of manufacture, batch consistency, quality stability, installation and main

本项目以模糊控制技术用于燃气热水器这一较典型的复杂控制系统为应用背景，在模糊信息处理的理论、应用和技术三个层次开展了相关的研究工作：(1)进一步研究了基于格蕴涵代数的格值逻辑系统，建立了两种动态的格值命题逻辑Lvpl和格值一阶逻辑Lvfl，并基于模糊集理论和多值逻辑提出了多种模糊推理的理论与方法；(2)提出了模糊控制系统的多种设计及优化方法与控制算法，建立了模糊控制规则库和模糊控制系统性能分析的一些新理论与新方法；(3)研制完成了6个模糊控制系统，还特别解决了模糊控制燃气热水器和智能控制燃气热水器在产业化过程中的生产工艺、批量一致、质量稳定、安装维修和性能价格等一系列难题，做好了批量生产前的技术准备，现已小批量生产。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。