Random-Like Bi-level Decision Making

Authors: Jiuping Xu, Zongmin Li, Zhimiao Tao



Introduces numerous bi-level programming models with random-like parameters

Shows readers how to apply procedures to solve some bi-level programming problems with random-like coefficients

Helps readers understand the bi-level modelling process and the efficiency of algorithms

Summarizes the methodological system for random-like bi-level decision making

Among the various multi-level formulations of mathematical models in decision making processes, this book focuses on the bi-level model. Being the most frequently used, the bi-level model addresses conflicts which exist in multi-level decision making processes. From the perspective of bi-level structure and uncertainty, this book takes real-life problems as the background, focuses on the so-called random-like uncertainty, and develops the general framework of random-like bi-level decision making problems. The random-like uncertainty considered in this book includes random phenomenon, random-overlapped random (Ra-Ra) phenomenon and fuzzy-overlapped random (Ra-Fu) phenomenon. Basic theory, models, algorithms and practical applications for different types of random-like bi-level decision making problems are also presented in this book.

Table of contents

Front Matter
Pages i-xi

Foundations of Random-Like Bi-Level Decision Making
Pages 1-75

Bi-Level Decision Making in Random Phenomenon
Pages 77-197

Bi-Level Decision Making in Ra-Ra Phenomenon
Pages 199-282

Bi-Level Decision Making in Ra-Fu Phenomenon
Pages 283-364

Methodology From an Equilibria Viewpoints
Pages 365-386

Back Matter
Pages 387-401

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