Grey Data Analysis_Nanjing University of Aeronautics and Astronautics

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Grey Data Analysis

开课时间： 2023年05月10日 ~ 2023年07月12日

学时安排： 3 hours per week

当前开课已结束已有 42 人参加

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课程概述

This course will systematically explain the basic theory, basic methods and application of the grey system, which was first introduced in 1982 by J.L. Deng at Huazhong University of Science and Technology. The content of the course is the quintessence of the course group's long-term theoretical exploration, practical application and teaching practice. It also absorbs the theories and applications obtained by domestic and foreign colleagues in recent years. The main content includes the basic concepts and basic principles of grey systems, sequence operators and grey data mining, grey incidence analysis, grey cluster evaluation models, GM series models, grey combination models, grey system forecasting technology, etc.

This course has been selected as the National Excellent Course in 2008, and as the National Excellent Resource Sharing Course in 2012; besides, it was selected as the National Excellent Online Open Course in 2018, and National first-class undergraduate courses in 2020. The supporting textbooks were selected as the "Eleventh Five-Year" and "Twelfth Five-Year" national planning textbooks and the "Famous Masterpiece Series" of Science Press. In 2017, it was rated as the No. 1 Highly Cited Book of Natural Sciences by CNKI in 1949-2009

Through online courses, students will systematically master the basic theories and methods of grey system, be able to use grey system modelling software proficiently, have the ability to analyze and solve practical problems, and the wisdom of innovative thinking.

On September 7, 2019, German Chancellor Angela Merkel gave special praise to China’s original grey system theory in a speech at Huazhong University of Science and Technology. He praised the work of Professor Deng Julong, the founder of Grey System Theory, and Professor Liu Sifeng, the head of this course, ‘profoundly affect the world’.

课程大纲

Preface

Chapter 2 The generation and development of grey system theory and the concept and basic principle of grey system

2.1 Appearance of Grey System Theory

2.2 Popularization and Internationalization of GST

2.3 Characteristics of Uncertain System

2.4 Comparison of Several Studies of Uncertain Systems

2.5 Elementary Concepts of Grey System

2.6 Main Components of GST

Chapter 3 Grey number and its operation

3.1 Grey Numbers and their Operations

3.2 Whitenization of Grey Numbers and Possibility Function

3.3 Degree of Greyness

3.4 Operations of Interval Grey Numbers

3.5 Reduced Form of Grey Numbers

3.6 General Grey Numbers

Chapter 4 Sequence Operators and Grey Data Mining

4.1 Introduction

4.2 Buffer Operators

4.3 Construction of Practically Useful Buffer Operators

4.4 The Average Operator

4.5 The Quasi-smooth Sequence and Stepwise Ratio Operator

4.6 Accumulating and Inverse Accumulating Operators

4.7 Exponential Law of Accumulating Generation

Chapter 5 Grey Incidence Analysis Models

5.1 Grey Incidence Factors and Set of Grey Incidence Operators

5.2 Deng's model of grey incidence analysis

5.3 Absolute Degree of Grey Incidence Model

5.4 Relative and Synthetic Degree of Grey Incidence Models

5.5 Similarity, Closeness and Three Dimensional Degree of Grey Incidence Models

5.6 Superiority Analysis

5.7 Practical Application

Chapter 6 Grey Clustering Evaluation Models

6.1 Grey Clustering Evaluation Models

6.2 The four kinds of possibility functions

6.3 Variable Weight Grey Clustering Model

6.4 Fixed Weight Grey Clustering Model

6.5 Grey Clustering Evaluation Models Based on Mixed End-point Possibility Functions

6.6 Grey Clustering Evaluation Models Based on Mixed Center-point Possibility Functions

Chapter 7 series of GM Models

7.1 Series of GM Models

7.2 The Four Basis Models of GM(1,1)

7.3 Suitable Range of Different GM(1,1)

7.4 Group of GM(1,1) Models

7.5 GM(0,N) Model

7.6 Grey Verhulst Model

Chapter 8 Techniques of Grey Systems Forecasting

8.1 Techniques for Grey Systems Forecasting

8.2 Sequence Forecasting

8.3 Wave Form Forecasting

8.4 Grey Disaster Forecasting

Chapter 9 Grey Model of Decision-Making

9.1 Grey Model for Decision-Making

9.2 Grey Target Decision

9.3 Functions of Uniform Effect Measure

9.4 Multi-attribute Intelligent Grey Target Decision Model

9.5 The Paradox of Rule of Maximum Value

9.6 The Weight Vector Group of Kernel Clustering

9.7 The Weight Coefficient Vector of Kernel Clustering for Decision-Making

9.8 The two stages decision model

展开全部

预备知识

Advanced Mathematics, Linear Algebra, Probability Theory and Mathematical Statistics

参考资料

1） Liu S.F., Yang Y.J. Forrest J.. Grey Data Analysis: Models, Methods, and Applications. Springer-Verlag. 2016

2） Liu S.F., Lin Y., Yang Y.J.. Grey System: thinking, methods, and models with applications. John Wiley & Sons, Inc., 2015

3）Liu S.F., Lin Y. Grey Systems: theory and applications. Springer-Verlag. 2011

4） Liu S.F., Lin Y. Advances in Grey Systems Research. Springer-Verlag. 2010

5）Liu S.F., Lin Y. Grey information theory and practical applications. Springer-Verlag. 2006

Nanjing University of Aeronautics and Astronautics

1 位授课老师

Sifeng LIU

Professor

Sifeng LIU

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