Design Basis: Underlying Modeling Logic

Yong Li, Xunchen Liu, Shanling Han and Jian‘gang Gao
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Yong Li: Shandong University of Science and Technology, College of Mechanical and Electronic Engineering
Xunchen Liu: Shandong University of Science and Technology, College of Mechanical and Electronic Engineering
Shanling Han: Shandong University of Science and Technology, College of Mechanical and Electronic Engineering
Jian‘gang Gao: Ocean University of China, Faculty of Information Science and Engineering

Chapter Chapter 2 in Intelligent Manufacturing Engineering, 2026, pp 21-242 from Springer

Abstract: Abstract The theoretical basis of IME is applied mathematics, embodied perception, mechanics, and digital image processing. This chapter covers the basic concepts, principles, theorems, and laws related to intelligent design in “relational mathematics: Graph theory → Complex networks → Operations Research” and perception. It further explains how to extract complex network problems from manufacturing systems and transform them into mathematical models (e.g., scenario-based matrices), thereby grasping the underlying modeling logic of IME. This chapter uses accessible language to describe mathematics in an IME system. By comparing IME systems to humans to explain the functions of various theories, we hope to make boring theories interesting.

Date: 2026
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DOI: 10.1007/978-981-95-3109-7_2

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