This book covers recent advances in the gray information and research systems, provides a state-of-the-art of this field is important. Covering basic theory, basic methods and major topics in the gray and information systems research, this book covers all the basic concepts: basic principles, gray numbers and their operations, equations and matrix gray, the operator sequence generation and sequence of gray, gray incidence analysis, the gray cluster and statistical evaluation of the gray, gray modeling system, the combined model gray, gray prediction, decision-gray, ash-programming gray, gray, and the control input and output gray, etc. This book will appeal to advanced students and researchers in various fields including science and information systems and management science, and for those working in applied areas such as geo-science, engineering, agriculture, medicine, biosciences and others.