set theory

However, except for the elementary part, the system of Principia is no longer much used, having been largely superseded by set theory.

Attribute reduction is one of the core issues of the rough set theory and it has become a hot topic of the rough set theory research.

The core of rough set theory is a pair of non-numerical operators, i. e. lower and upper approximation operators.

Whereas, Zadeh's fuzzy set theory in terms of membership provides an effective platform in dealing with numerous fuzzy linguistic phenomena.

The discretization of continuous attributes is one of the most main problems in applying of rough set theory.

The Attribute reduction of Information system is one of the focus of Rough Set Theory and Applied research.

The graphic structure analysis for algebraic relationship of rough sets is a new research direction of the rough set theory.

Under incomplete information system, rules extraction is one of the key problems of rough set theory.

Then based on the point-set theory, a qualitative model about spatiotemporal topological relations between moving objects i.

Fuzzy set theory and rough set theory has a strong complementary in dealing with uncertain problem.

Discrete mathematics: logic, set theory, combinatorics, graph theory, and algorithms, complex variables, numerical analysis.

Mathematicians typically justify their fundamental axioms, in particular those of set theory, by informal appeals to the imagination.

Attributes reduction is one of important parts researched in rough set theory.

when we describe the fuzzy concept of approximate space in rough set theory , the fuzzy rough set was generated correspondingly.

Rough set theory and its application is a new academic focus, widely used in a lot of fields.

The characteristics of Rough set theory and Artificial Neural Network are very bright and obviously complementary.

Rough set theory can remove redundant information in the data to achieve optimal testing points and characteristics of the parameters.

The proof for this statement (which can again be carried out in ZF set theory) is included in the article on ideals.

To avoid the subjectiveness of experts in extracting diagnosis rules, rough set theory is introduced into extracting diagnosis rules.

This thesis in the light of fuzzy set theory makes an initial probe into semantic fuzziness.

In rough set theory, data reduction is a very important issue, it includes attributes and attribute values reduction.

The applications of the fuzzy set theory in scheme optimization of type selecting design of hydraulic turbine is discusses.

For improving, applying rough set theory, analyses the test paper, and discovers both redundance and significant level information.

From the relation, the reduction of attributes for the decision table is conducted by applying the rough set theory to gain decision rules.

Comprises useful routines for machine learning in general and for rough set theory in particular.

The user feature extraction algorithmic in this paper reference from attribute reduction and decision rule extraction of rough set theory.

The determination of feature core may be significantly contributory to solve the problem of feature reduction in rough set theory.

Zadeh proposed by the fuzzy set theory which can provide an effective method for the complex and sick system.

Rough set theory is an useful tool to process inaccurate data, reduction is an important concept in rough set.

We design and implement diagnostic system for rough set theory spleen deficiency syndrome differentiation.

Some of its strangest aspects first came to light in the late 1800s, with Georg Cantor's groundbreaking work on "set theory. "

The decision table was established by the rough set theory to make the knowledge reduced and determine the relevant evaluating indexes.

In general, supplier selection problems adhere to uncertain and imprecise data, and fuzzy-set theory is adequate to deal with them.

The concepts of synthesis source and field in synthesis reasoning were introduced into decision systems in rough set theory.

Discretization of continuous attributes is the key step in processing continuous problem with rough set theory.

Firstly, customer demand and production index of make-to-order company were proposed and simplified with rough set theory.

Attribute reduction, a basic conception in rough set theory, is introduced at first, then applied to forestry information management.

Rough set theory, a new effectiveness evaluation theory, is used to evaluate the effectiveness of satellite navigation systems.

All of these have shown how to make use of the Rough Set theory to make valuable information for the management decision in the enterprise.

Rough set theory is a new mathematical analysis method processing fuzzy and uncertainty knowledge.

It mainly introduces basic concepts and basic methods in logic, set theory, algebraic system and graph theory.

Further developments of set theory, probability theory and their influences on Game theory.

Introduct the classical rough set theory and the rough set attribute reduction method is applied to the study of feature selection.

Attribute reduction in rough set theory is a NP-hard problem, which is studied mainly to design a more efficient algorithm.

A model was built for a team's capabilities based on rough set theory, and the experience of former evaluations was summarized.

Rough set theory is a new mathematical means to deal with vagueness and uncertainty.

It is designed to determine whether you are comfortable enough with the language of set theory to begin the study of topology.

The reliability of the axiom group, which shows that characterizing of rough set theory based on similar relation is rational, is proved.

Fuzzy set theory is a processing language information capacity of control theory.

By taking the method of membership function in fuzzy set theory, the volume of coal gas was calculated by fuzzy matrix.

It is set theory of mathematics to describe the possibility is particularly important.

Rough set theory is a new data computing tool to deal with vagueness and uncertainty.

Rough Set theory is a new mathematic tool to deal with fuzzy and uncertain knowledge.

of the parts is discussed. The fuzzy mathematical expression of the margin tolerance of the parts is proposed based on fuzzy set theory'.

The fuzzy set theory was employed at the input layer to make the processing of linguistic variables possible.

However, it is the credibility measure which plays the role of probability measure in fuzzy set theory actually.

According to fuzzy rough set theory, a comprehensive data mining method is proposed and applied in spatial load forecasting (SLF).

Set Theory : Sets and Subsets, Set operations and the Laws of Set theory, Counting and Venn Diagrams.

Then data reduction in rough set theory based on difference-identity relation is discussed. Further displays the essence of reduction.

A new approach employing rough set theory and Fourier-Mellin transform to solve HRRP recognition problem is presented here.

For generalizing the content of synthesis reasoning, the model of synthesis reasoning based on rough set theory was proposed.

Diseases and symptoms analysis based on the fuzzy set theory is applicable in the platform for the medical community.

Absrtact: Rough set theory is a new mathematical tool to research imprecise and uncertain knowledge.

Rough set theory has the advantage of data reduction and rule extraction, and can initialize the structure of network.

A novel method that makes use of rough set theory to detect moving small target with low SNR in infrared image sequences is presented.

Rough set theory is a new math tool in dealing with fuzzy and uncertain knowledge.

Finally, based on the above escaping model combine the Rough Set theory with Cellular Automata to state the cells evolution.

In set theory, that particular property of a set which denotes how many objects are contained in that set .

To the dynamic traits of group formation in situation assessment, the methods based on S-rough set theory are studied.

To the dynastic demands in-group formation in situation assessment, a method based on S-rough set theory is put forward.

We model the vague constraints and uncertain data by fuzzy set theory.

Combined rough set theory and gray theory, and studied interval gray information system based on dominance relation.

An immune good-point set genetic algorithm is put forward based on the combination of immune system and good-point set theory.

To characterize similar rough set theory, an axiom group named S, consisting of 3 axioms, is proposed.

Among so many methods, Rough Set Theory is a kind of more valid method to deal with the complicated systems.

Of all the numerous data processing methods, Rough Set Theory is a solution that can play a large role in image processing.

This paper focus on the two systemized and influential atonality theories, the symmetry theory and the picth class set theory.

Then discusses the attributes reduction based on Rough Set theory and set covering problem to combine them.

in this dissertation , we study an unsupervised classification method based on fuzzy set theory.

This paper research a data mining system based on incremental updating algorithms of rough set theory.

The combined use of rough set theory arid group eigenvalue method in the renew able evaluation of water resources is feasible.

Reduction of knowledge is the core of rough set theory .

This paper researches a data mining system based on attributes reduction of rough set theory.

To show the application of the rough set theory, a rough set approach based on random sets is proposed.

Based on rough set theory, a new fault diagnosis method of power electronic circuits was presented.

At the same time, the idea of set theory on the problem-solving also has a guiding role.

Aim To establish a generalized model of rough set theory based on quasi order relation.

In addition, we combined SVM with rough set theory, and got rough support vector machine algorithm (RSVM).

A sensor task-assigning model based on semi-order relation in set theory has been presented in this paper.

In classical set theory, an ordinary set is a unified whole which is composed of some elements.

A sensor task-assigning model based on semi-order relation in set theory has been presented in this paper.

In classical set theory, an ordinary set is a unified whole which is composed of some elements.

So a new Bayesian model mixed tree augmented Naive Bayes classifier(MTANC) based on the rough set theory is presented.

A method of compressor fault diagnosis based on rough set theory is proposed.

In order to overcome the limitation of the method, an improved fault line detection method based on rough set theory is presented.

The third, a credit risk assessment model is designed and implemented based on rough set theory.

A case retrieval method was presented based on rough set theory in order to solve the retrieval problem in design of stamping dies.

In the latest sports and fitness based on set theory.

Unity of the Content and Form of Optimality Criteria by Means of Set Theory

In this paper, data collection, collation used methods of set theory, a set of matrix and vector data to generate a database for processing;

In this paper, data collection, collation used methods of set theory, a set of matrix and vector data to generate a database for processing;

The theorem hAS many deep extensions which are important not only in graph theory and combinatorics but in set theory(logic)analysis AS well

Rough set theory and application of it in fault diagnosis

An Approach to Determine Rules and Formula of Ore Grade Estimation Using Variable Precision Rough Set Theory

Study of Inventory Management with Fuzzy Set Theory under Uncertainty

The Research on Rough Set Theory-based Determining Weight Coefficients of Distributors'Performance Evaluation

The evaluation model for relative competition power of carmanufacturing enterprises based on Rough Set theory and its applications

Data Mining; Clustering Analysis; Outlier Detection; Rough Set Theory; Genetic Algorithm;

Study of weighted D-S evidence combination based on rough set theory and its application

The Counting Formulas for a Class of Problems in Combinatorial Set Theory

The Counting Formulas for a Class of Problems in Combinatorial Set Theory

An improved CART algorithm involving Rough Set theory and its application

Vague Set Theory and Its Application in Fuzzy Information Processing

Study on the Application of Rough Set Theory in Substrate Feeding Control and Fault Diagnosis in Fermentation Process

An application of series representation of real numbers to set theory

Application of Rough Set Theory in Target Identification Information Processing

Fault Diagnosis Model for the Regenerative Heating System of a Steam Turbine Unit Based on a Rough Set Theory

Using Math Fuzzy Set Theory to Quantitatively Evaluate Chinese Poetry Translations: An Outline

Information Representation for Attribute Reduction of Decision Tables in Rough Set Theory

Rough set theory and its application in fault diagnosis technology

Rough set theory and its application in fault diagnosis technology

The rough set theory applied in the random statistic strength analysis of the automobile frame

Rough Set Theory and Its Application in Fault Diagnosis in Nuclear Power Plant

An Information Representation of the Concepts and Operations in Rough Set Theory

Reliability analysis to deal with imperfect information by rough set theory

Generalized discretization of continuous attributes in rough set theory

Rough set theory and its application in cation anti-flotation control

Brief introduction and applying potential analysis of rough set theory in the electric power station field

Analysis of loop invariants in terms of set theory

Rough set theory and its application in geologic graphics system

Rough set theory and its application in geologic graphics system

Structure-property relationship modeling for linear chain polymers by Fuzzy set theory

Improvement of Definitions of Rough Function and Proof of Rough Derivative's Properties in Rough Set Theory

Fineness and coarseness of an approximation space in the rough set theory

Application of Rough Set Theory to Comprehensive Evaluation of Working Quality of Hospital

Research on rough-fuzzy set theory-based decision support approach of component adaptation

Appraisement for Medical Students'Chemistry Experiments by Fuzzy Set Theory

A Survey on Rough Set Theory and Its Application on Intelligent Control

Rough Set Theory and Its Application in Short-term Load Forecasting

Application of Rough Set Theory to the Identification of Fuzzy Membership Function

Application of Rough Set Theory to the Identification of Fuzzy Membership Function

Rough set theory and knowledge quantity use in the system of monitor on wind machine

Rough set theory and its application in the intelligent systems

Spectral Similarity Measure Based on Set Theory and Its Application to Hyperspectral RS Image Retrieval

Application Research on Rough Set Theory in Process Quality Control of Aviation Products

Application of Fuzzy Set Theory to Undergraduate Teaching Assessment

Application of Rough Set Theory in Knowledge Mining of Underground Mine Dispatching

Analysis of Students'Interest of Computer Operating Course through Rough Set Theory

The Application of Rough Set Theory in Attributes Reduction and Knowledge Partition

Knowledge Reduction Analysis of User Satisfaction Survey with Rough Set Theory

Knowledge Reduction Analysis of User Satisfaction Survey with Rough Set Theory

Application research of rough set theory in wastewater parameters soft measure

A Comparative Study between the Reduction of Knowledge Based on Rough Set Theory and the Statistical Classification

Research on Rough Set Theory and Its Progress on Applications

Understanding Mathematical Induction by Set Theory

Applications of Rough Set Theory in the Recognition of Communication Station's Platforms

The Application of Fuzzy Set Theory to the Fault Diagnosis of Wind Turbine Generating Units

The Representation of the Rough Entropy of Uncertainty in the Rough Set Theory

Attributes Relative Reduction Approach Based on Discernibility Function and Strong Compressible Set Theory

Discussion on Rough Set Theory and Its Applications

Discussion on Rough Set Theory and Its Applications

An Ontological And Epistemological Perspective Of Fuzzy Set Theory

An Algorithm for Discretization of Continuous Attributes in Rough Set Theory

Application of Rough Set Theory in Hydrogenerator Units Fault Diagnosis

The Application of Rough Set Theory in Underwater Target Identification

Study on Classification Method Induction Based on Rough Set Theory Used in Knowledge Rule Mining

Research on Rough Set Theory and Decision Tree Method Applied to IDS

Several basic concept distinction in the order relation of the set theory

Application of rough-set theory and fuzzy clustering analysis in insect taxonomy

Application of rough set theory on fault diagnosis of the rotary machine

Application of rough set theory on fault diagnosis of the rotary machine

The Performance Evaluation on Discipline Construction of Teaching and Research University Based on Dominance Rough Set Theory

Heuristic Genetic Algorithm for Reduction of Attributes in Rough Set Theory

An Algorithm for Discretization of Condition Attributes in Rough Set Theory

Incremental Algorithm for Attribute Reduction in Rough Set Theory

Testification for bug of Zadeh-fuzzy set theory and improvement-- C-fuzzy set theory that satisfies all classical set formulas

The Application of the Rough Set Theory in the Diagnosis of Computer Net Faults

A data mining approach with combination of rough set theory and expansion matrix theory

Application of rough set theory on factors analysis of influencing the grain output

Applications of Blur Set theory in Teaching Evaluation of Higher Education

Applications of Blur Set theory in Teaching Evaluation of Higher Education

Study on Evaluation Methods for Agricultural Mechanization Developing Level Based on Rough Set Theory and Fuzzy Aggregation

Generalization of Rough Set Theory Using Molecular Lattices

Discussion the relationship between geometry and set theory

Research of knowledge discovery based on rough set theory and its application in engineering

The Comprehensive Surveying Model for Various People and Its Reduction Based on Rough Set Theory

On the Relationship Between the Algebra View and Information View of Rough Set Theory

Application of Fuzzy Set Theory to Engine Temperature Control Process

Applications of Rough Set Theory in Personal Investment Analysis

A uniform definition of fuzzy set theory and fundamental of probability theory

Research into Finding Core Algorithm about Decision System in Rough Set Theory

The Difference and Complementary of Rough Set Theory and the Other Uncertain Theories

Application of Rough Set theory in output forecasting of film evaporators

Study of the Method for Determining Weight Based on Rough Set Theory

A System for Knowledge Discovery in Database on Rough Set Theory: Research and Design

Construction of the Internal Combustion Engine State Assessment Index System Based on Rough Set Theory

Fuzzy evaluation of product structural design using rough set theory

The Integration and Realization of Rough set Theory Archetype System

Extension of rough set theory under incomplete information

Applications of Rough Set Theory in Intelligent Fault Diagnosis

Application of Rough Set Theory in Tourism Resources Evaluation

Rough Set Theory and Its Present State and Prospects

A Method of Comprehensive Evaluation with Subjective and Objective Information Based on Evidential Reasoning and Rough Set Theory

Application Of Rough Set Theory in Coal Management of Electricity System

Study on rock movement factors analysis and subsidence prediction method based on rough-set theory and artificial neural network

A New Method for Continuous Value Attribute Discretization in Rough Set Theory

Research on an Intelligent Search on Web Pages Using the Rough Set Theory

Research of knowledge acquisition method with rough set theory

Application of rough set theory in transformer fault diagnosis

Algorithms of Attribute Relative Reduction in Rough Set Theory

Knowledge acquisition, incremental modification and reasoning based on rough set theory in expert systems

A Study of Expert System for Fault Diagnosis of Transformer Based on Rough Set Theory

A Method to Discretization for Successive Attribute of Rough Set Theory

Combining Rough Set Theory with Neural Network for Remote Sensing Image

Applying Rough Set Theory to Detect and Diagnose Fault for Liquid Rocket Engine

Evaluation of the Sea Warship Bid Engineering Based on Rough Set Theory

Rough Set Theory and It's Application Potential Analysis in Hydropower Unit Mechanical Fault Diagnosis

A Survey for the Integration of Rough Set Theory With Neural Networks

Application of Rough Set Theory to Regional Mean Rainfall Forecast

Evaluating Methods of Agricultural Mechanization Based on the Rough Set Theory and Neural Network Technology

Application of fuzzy set theory to single-phase-to-ground fault line detection

Application of Rough Set Theory in the Inter-city Passenger Traffic Sharing

Application of Fuzzy Set Theory on the Classification of Document

Discuss on application of rough set theory in intrusion detection

Discussion of Rough Set Theory and Seismic Damage Prediction

Rough set theory based fault diagnosis on power transformers

On the equivalent mapping between extensions of fuzzy set theory

On the Application of Rough Set Theory in Mechanical Fault Diagnosis

Knowledge Reduction Method of Rough Set Theory and Application

A correcting algorithm of incompatible rules in rough set theory

Application of Rough Set Theory in Fault Diagnosis Expert System

Application of Rough Set Theory on Corrosion Analysis of NG Pipeline

The Rough Set Theory's Application in Fault Diagnosis Expert System of Combustion Engine

Analyses of rough set theory and the application in management decision

The Application of Combination Forecast Based on Rough Set Theory in Measuring Intangible Asset Valuation

A survey on rough set theory and its application

Application of Information Entropy in Rough Set Theory

Intent Reduction of Concept Lattices and its Algorithm Based on Rough Set Theory

Application of rough set theory to prediction of seismic damage

An Application of Rough Set Theory in Chinese Medical Diagnosis

Research on the Information Fusion of Typical Faults of Rolling bearing Based onRough Set Theory

Weighting Coefficients Calculation of Feature Attributes of CBR in Stamping Die CAD System Based on Rough Set Theory

Research on venture capital investment evaluation model based on information entropy of rough set theory

A Study of Fault Diagnosis in Power Transformer Based on Rough Set Theory

Minimal Reduction Arithmetic in Communication Stations'Decision Table Based on the Rough Set Theory

The Application of Rough Set Theory in Knowledge Discovery

The application of rough set theory in the real-time fault diagnosis for rotating mechanical devices

An Empirical Study on the Critical Factors in Enterprise Informationalization Based on Rough Set Theory

Data Fusion Based on Rough Set Theory and Its Application in Target Recognition

The Application of Rough Set Theory in Data Mining for Personal Demand