Combined Grey Models

Abstract

This book systematically presents the fundamental theory, methods, and techniques of practical application of grey systems theory. It stands for the crystallization of the authors’ many years of theoretical exploration, real-life application, and teaching. It absorbs most of the recent theoretical and applied advances of the theory achieved by scholars from across the world so that it vividly presents the reader with the overall picture of this new theory and its frontal research activities. This book contains 10 chapters, including Introduction to Grey Systems Theory, Basic Building Blocks of Grey Systems Theory, Grey Relationships, Grey Systems Modeling, Discrete Grey Prediction Models, Combined Grey Models, Grey Models for Decision Making, Grey Game Models, Grey Control, and others. It includes a computer software package developed for grey systems modeling. The contents, such as the axiomatic system of buffer operators and a series of weakening and strengthening operators, the axioms for measuring the greyness of grey numbers, the general grey incidences (grey absolute incidence, grey relative incidence, grey comprehensive incidence, grey analogy incidence, grey nearness incidence), discrete grey models, fixed weight grey cluster evaluation and grey evaluation methods based on triangular whitenization weight functions, multiattribute intelligent grey target decision models, the applicable range of the G(1,1) model, grey econometric models (G-E), grey Cobb-Douglass model (G-C-D), grey input-output model (G-I-O), grey Markov models (G-M), grey game models (GG), etc., are introduced by the authors the first time. This book will be appropriate as a reference and/or textbook 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 as a reference book by researchers and technicians in research institutions, business entities, and government agencies.