Grey Systems Analysis

The book covers up-to-date theoretical and applied advances in grey systems theory from across the world and vividly presents the reader with the overall picture of this new theory and its frontier research. Many of the concepts, models and methods in the book are original by the authors, including simplified form of grey number, general grey number and the operations of grey numbers; the axiomatic system of buffer operators and a series of weakening and strengthening operators; a series of grey relational analysis models, including grey absolute, relative, synthetic, similarity, closeness, negative and three dimension degree, etc.; grey fixed weight clustering model, grey evaluation models based on center-point and end-point mixed possibility functions; original difference grey model (ODGM), even difference grey model (EDGM), discrete grey model (DGM), fractional grey models, self-memory grey models; multi-attribute intelligent grey target decision models, weight vector group withkernel and the weighted comprehensive clustering coefficient vector, and spectrum analysis of sequence operators, etc. This book will be appropriate as a reference and/or professional book for courses of grey system theory for graduate students or high-level undergraduate students, majoring in areas of science, technology, agriculture, medicine, astronomy, earth science, economics, and management. It can also be utilized by researchers and practitioners in research institutions, business entities, and government agencies.

Gives thorough in-depth coverage of all aspects of the Grey Systems Theory Provides most cutting-edge methods and models by the authors for the first time Examines the fundamental theory, methods, and techniques of practical application of gray systems theory

Autorentext

Professor Sifeng Liu, Ph.D., a distinguished professor at Northwestern Polytechnical University. He was a professor at NUAA, DMU and HAU respectively. Dr Liu has selected into the long-term project of national major talent programs of China, honorary fellow of WOSC, and senior fellowship of Marie Sk odowska-Curie actions of the EU. He is serving as the founding director of CGSS at NPU, the founding president of IAGSUA, the founding editor of GS, and the editor-in-chief of JGS and two book series on Grey Systems one in English (Springer-Nature) and the other one in Chinese (Science Press). He was the founding director of IGSS at NUAA and the founding president of GSSC. His publications has been cited 51631 times with an H-Index of 95 in Huezhi Scholar and ranking first in the list of the highly cited authors in the field of system science by Baidu Scholar. He has listed in top 2% scientists of the world by Stanford University. On the 7th of September, 2019, then German Chancellor Merkel praised Prof. Liu's work as "profoundly influencing the world". In 2023, Prof. Liu won the Global Excellence Award by GSSP. In 2024, he was selected as one of the top 0.05% Highly Ranked Scholar-Lifetime of the world by Scholar GPS.

Inhalt

1. Introduction.- 2.Characteristics of grey system theory.- 3.Grey Numbers and their Operations.- 4. Sequence Operators and Grey Data Mining.- 5. Grey Relational Analysis Models.- 6. Grey Clustering Evaluation Models.- 7. Series of GM Models.- 8. Combined Grey Models.- 9.Techniques for Grey System Forecasting.- 10. Grey Models for Decision-Making.- 11. Grey Control Systems.- 12. Spectrum analysis of sequence operators. <p