Brief Introduction of Error Systems

Part of the Studies in Systems, Decision and Control book series (SSDC, volume 275)


In this chapter, we put error events and issues in the context of a system and treat X \(=\) X (\(\{W_i\}\), \(T(t_1\), \(t_2)\), J, GY, MG, R) as an object system, where \(\{W_i\}\) is the set composed of all the issues associated with research objects; T is the set of conditions with \(t_1\) stands for constrained conditions and the \(t_2\) represents conditions borne by the issue; J is the set for all conclusions of research objects; GY is the set of intrinsic features of the system formed by all research objects; MG is the set of objective features of research objects; R is the set containing all relationships connecting all research objects. In the object system, concept and classification of error, operation and transformations of error system are investigated accordingly. Within the context of object system, we examine the critical subsystems, major subsystems, important subsystems, critical structures, major structures, important structures, critical elements, major elements, important elements, and independence of subsystems. Next, we discuss the theory and method for conducting system optimization which should be carried on a non-erroneous system. For a system without errors (or a system tolerating errors), a programming model is built where the expected overall intrinsic features are the objectives; each intrinsic feature contained in objective features is defined as an independent variable; and the system’s conditions are constraints. By solving the programming model, the value or the range of values of each intrinsic feature is obtained. Feature-based system optimization is then conducted given the value or the range of values of each intrinsic feature.

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.School of ManagementGuangdong University of TechnologyGuangzhouChina
  2. 2.Guangzhou Vocational College of Science and TechnologyGuangzhouChina
  3. 3.Research Institute of Economics and ManagementSouthwestern University of Finance and EconomicsChengduChina

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