Grey Data Analysis : Methods, Models and Applications by Sifeng Liu, Yingjie Yang, Jeffrey Forrest

By Sifeng Liu, Yingjie Yang, Jeffrey Forrest

This e-book inclusively and systematically offers the basic equipment, versions and strategies of useful program of gray facts research, bringing jointly the authors’ decades of theoretical exploration, real-life program, and educating. It additionally displays the vast majority of contemporary theoretical and utilized advances within the conception completed through students from internationally, delivering readers a bright total photograph of this new conception and its pioneering learn activities. 
The ebook comprises 12 chapters, protecting the creation to gray platforms, a unique framework of gray approach conception, gray numbers and their operations, series operators and gray information mining, gray prevalence research versions, gray clustering assessment types, sequence of GM types, mixed gray versions, thoughts for gray platforms forecasting, gray versions for decision-making, recommendations for gray keep an eye on, and so forth. it is also a software program package deal that permits practitioners to comfortably and virtually hire the idea and techniques awarded during this ebook. All tools and types provided right here have been selected for his or her useful applicability and feature been broadly hired in numerous study works.
I nonetheless take into account 1983, while I first participated in a direction on gray procedure conception. The mimeographed educating fabrics had a blue hide and have been provided as a booklet. It used to be like discovering a treasure: This attention-grabbing ebook particularly encouraged me as a tender highbrow facing a interval of misunderstanding and shortage of educational path. It shone with pearls of knowledge and provided a beacon within the mist for a guy searching for his approach in educational examine. This booklet turned the guiding gentle in my lifestyles trip, inspiring me to forge an indissoluble bond with gray procedure Theory.
――Sifeng Liu

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2. 5 11 Most Actively Studied Uncertain Systems Theories Fuzzy mathematics, grey system theory, and rough set theory are currently the most actively studied uncertainty theories. 3). 6). Research on uncertain (fuzzy, grey, and rough) systems can be categorized into the following three aspects: (1) The mathematical foundation of uncertain systems theories; (2) The modeling of uncertain systems and computational schemes, including various uncertain systems modeling, modeling combined with other relevant methods, as well as related computational methods; and (3) The wide-range of applications of uncertain systems theories in natural and social sciences.

The researchers carried out effective research on economic decision applications using grey game model (Fang et al. 2006; Fang et al. 2010). In 2008, Qiao-Xing Li and Si-Feng Liu studied the grey matrix and grey input-output models (Li and Liu 2008). Based on such models, the authors put forward the Enterprise Grey Input-output analytical model in 2012 (Li et al. 2012). 8 Grey Control Models In the 1980s, Professor Julong Deng and Chaoshun Zhou (Deng and Zhou 1986; Zhou and Deng 1986; Deng 1988) worked on grey forecasting control, and addressed the stability of grey linear systems and sufficient conditions for the stability of inter-connected dynamic systems.

Furthermore, Chunhua Su and 26 2 The Grey Systems Theory Framework colleagues studied the robust stability problem of grey stochastic time-delay systems, especially the distribution type, neutral type and neutral-distribution type exponential robust stability problem of grey stochastic time-delay systems. In order to do so, Chunhua Su and colleagues used several methods such as the Lyapuonv function, Lyapunov-Krasovskii function, model transformation, combined Itô formula, matrix inequality, Holder inequality, Schur complement, decomposition technique of continuous grey matrix cover and other mathematical tools.

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