classical set theory
英 [ˈklæsɪkl set ˈθɪəri]
美 [ˈklæsɪkl set ˈθiːəri]
网络 古典集合论; 经典集论
双语例句
- Most achievements of classical soil mechanics are set up on the basis of elastic theory.
古典土力学的大部分成果是建立在弹性理论基础上的。 - In order to process incomplete information systems, the classical rough set theory needs to be extended, especially, the indiscernibility relation needs to be extended to some inequivalent relation.
对于不完备信息系统的处理，需要对经典Rough集理论进行扩充，主要是对不可分辨关系进行扩充。 - Simultaneously, the classical rough set theory is based on complete information systems.
同时，经典粗糙集理论缺乏对不完备信息的处理。 - Dominance-based rough set approach ( DRSA) is an extension of classical rough set theory ( RST). Approximation of class unions is a very important approach in DRSA.
DRSA（Dominance-basedRoughSetApproach）是经典粗糙集理论在支配关系下的扩展，而类合集近似是DRSA中非常重要的概念与方法。 - Due to the vagueness and uncertainty in the scheme design of the gate, the classical rough set theory is not effective.
考虑到浇注系统方案设计中存在的模糊性和不确定性等因素，对经典的粗糙集理论进行了扩展。 - This paper introduces a method to prove the famous Zorn's Lemma with only the elementary knowledge on the classical set theory.
介绍了一种利用简单的集合论知识证明著名的Zorn引理的方法。 - As the generalizing of the classical mathematic set theory, the fuzzy set can express so many fuzzy concepts in human knowledge.
模糊集理论作为经典集合论的推广，可以用来表示人类知识中大量存在的模糊性概念。 - A fuzzy-rough set model was proposed based on the extension of the classical rough set theory.
对传统粗糙集理论进行了扩展，提出了一种模糊-粗糙集模型。 - Fuzzy set, Rough set and Vague set are all the extension of classical sets theory. They extend the application of set theory to Vague and uncertain problem.
模糊集、粗糙集和Vague集三种理论都是对经典集合理论的扩展，使得集合论的应用扩展到了含糊的、不确定性的问题领域。 - This paper is continuous Literary piece of reference [ 6], It expanded go a step further the classical set theory.
本文是[6]的续篇，是对经典集合的进一步扩张。 - Some basic properties of fuzzy set theory in ZB are discussed and natural numbers are defined with fuzzy real numbers built and the definition of the continuity of fuzzy real functions given so that more tools of classical mathematics are used in fuzzy set theory.
在ZB系统中定义模糊自然数，建立模糊实数。并给出模糊实函数连续性的定义，使得模糊数学能更多地使用传统数学的工具。 - This paper discusses a kind of problems of decision or pattern recognition in classical rough set theory, which cannot have identical decision rules for any two samples in sample spaces or decision tables.
对于经典Rough集理论中某一类决策或模式识别问题，其样本空间或决策表中客观存在的任何两个样本实例体现的决策规则不可能完全相同。 - The classical rough set theory thinks knowledge is granular and defines the concept of knowledge roughness, but it can not completely distinguish the information from the different knowledge granularity.
经典的粗糙集理论提出知识是有粒度的并定义了知识粗糙度的概念，但它不能完全区分不同信息粒度所表示的信息量。 - In this paper, we prove that there is an inconsistency in any infinite set of the classical set theory or the modern axiomatic set theory.
文中证明古典集合论与近代公理集合论中的任何一个无穷集合都是自相矛盾的非集。 - It satisfies all formulas of the classical set theory and is consistent with classical and normal thinking, logic and concepts.
并且是经典集合系统的特例，能满足全部经典集合的公式，与正常思维、逻辑和概念一致。 - Inclusion Relationship between Classical Axiomatic Set Theory and Madium Axiomatic Set Theory
经典公理集合论系统与中介公理集合论系统之间的包含关系 - Since non-well-founded sets can be used to model circular phenomena that cannot be described in classical set theory, they have vast applications in philosophy, economics, modal logic, linguistics and theoretical computer sciences.
由于非良基集合可以用来构造循环现象的模型，而这些循环现象都不能用经典集合论来描述，因此，它们在哲学、经济学、模态逻辑、语言学以及理论计算机科学中具有十分广阔的应用前景。 - Secondly, on the basis of the expansion of the classical rough set theory, this thesis discusses the attribute reduction method and the rule extraction in the incomplete information system.
其次，在对经典粗糙集理论进行扩展的基础上，讨论了不完备信息系统中关于属性约简方法和规则获取方法。 - For the inference of the models, the classical econometric model of economics set the model function according to economic theory and the data, and then estimates the parameters of the function and tests the relationship.
对于模型的推断，经典计量经济学模型首先根据经济理论和样本数据设定模型的函数关系，然后估计函数关系中的参数并检验所设定的关系。 - The classical rough set theory is extended to incomplete information systems, to define the indiscernibility relation in incomplete information systems, setting generalized rough set model as the rules of extracted basis of study in incomplete information systems.
将经典粗糙集理论推广到不完备信息系统中，对不完备信息系统中的不可分辨关系进行定义，以推广的粗糙集模型作为研究不完备信息系统规则提取的基础。 - Because of the classical set theory limitations and accidents randomness, the evaluation results are not very reasonable.
由于经典集合理论的局限性和事故的随机性，使其评价结果不甚合理。 - As is known to all, in classical Rough Set theory, equivalence relationship on relation domain plays a vital role.
众所周知，在经典粗糙集理论中，论域上的等价关系起着至关重要的作用。 - After analyze some kinds of extensions to the classical rough set theory, a new extension of rough set model based on limited non-symmetric similarity relation is developed.
为此，在分析研究已有的扩充粗糙集理论模型的基础上，进一步提出基于限制非对称相似关系的扩充粗糙集模型。 - The Out-lier algorithm based on density and attribution classical discrepant data protocol algorithm based on rough set theory were presented.
提出了一种基于密度的孤立点因子算法和一种基于粗集理论的属性类别差异数据归约算法。 - Rough set theory is developed on the basis of the classical set theory, and is a new mathematical theory for handling uncertainty and imprecision data.
粗糙集理论是在经典集合论的基础上发展起来的，用于处理不确定性和不精确性的一种新的数学理论。 - In this chapter, we give a brief introduction on the historical background of classical descriptive set theory, effective descriptive set theory and invariant descriptive set theory, then we give some basic definitions about equivalence relations and Borel reducibility.
在这一章中，我们简要介绍了关于经典描述集合论、有效描述集合论、不变量描述集合论的一些历史背景，然后我们给出等价关系与Borel归约的一些基本定义。 - Three generalized theories of fuzzy sets, rough sets and soft sets based on classical set theory effectively help us to solve the problem of many uncertainties.
在经典集合的基础上建立的模糊集、粗糙集和软集三种一般化理论能有效地帮助我们解决许多不确定性问题。 - In the classical set theory, the division of objects have often clear boundary. But when faced with randomness, fuzziness, and roughness and inaccuracy problems, the classical set theory is unable to solve them.
在经典集合论中，对对象的划分往往是有明确的分界，而当我们遇到随机性、模糊性、粗糙性和不精确性等问题时经典集合却是无法解决的。 - The classical rough set theory, first proposed by the Polish mathematician Paw-lak [ 1] in the early 1980s, is a mathematical tool to deal with uncertain concepts.
经典粗糙集理论是上世纪八十年代初由波兰数学家Pawlak[1]首先提出的一种处理不确定性的数学工具。 - The existing road traffic safety evaluation methods have based on the classical set theory and the majority of the accident data.
现有的道路交通安全评价方法大多数基于经典集合理论和事故资料。