Uncertain Data Envelopment Analysis

This book is intended to present the milestones in the progression of uncertain Data envelopment analysis (DEA). Chapter 1 gives some basic introduction to uncertain theories, including probability theory, credibility theory, uncertainty theory and chance theory. Chapter 2 presents a comprehensive review and discussion of basic DEA models. The stochastic DEA is introduced in Chapter 3, in which the inputs and outputs are assumed to be random variables. To obtain the probability distribution of a random variable, a lot of samples are needed to apply the statistics inference approach. Chapter 4 and 5 provide two uncertain DEA methods to evaluate the DMUs with limited or insufficient statistical data, named fuzzy DEA and uncertain DEA. In order to evaluate the DMUs in which uncertainty and randomness appear simultaneously, the hybrid DEA based on chance theory is presented in Chapter 6.

List of contents

Uncertain Theories.- Introduction to DEA.- Stochastic DEA.- Fuzzy DEA.- Uncertain DEA.- Hybrid DEA.

Summary

This book is intended to present the milestones in the progression of uncertain Data envelopment analysis (DEA). Chapter 1 gives some basic introduction to uncertain theories, including probability theory, credibility theory, uncertainty theory and chance theory. Chapter 2 presents a comprehensive review and discussion of basic DEA models. The stochastic DEA is introduced in Chapter 3, in which the inputs and outputs are assumed to be random variables. To obtain the probability distribution of a random variable, a lot of samples are needed to apply the statistics inference approach. Chapter 4 and 5 provide two uncertain DEA methods to evaluate the DMUs with limited or insufficient statistical data, named fuzzy DEA and uncertain DEA. In order to evaluate the DMUs in which uncertainty and randomness appear simultaneously, the hybrid DEA based on chance theory is presented in Chapter 6.

Product details

• Authors: Meilin Wen
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2016
• EAN: 9783662525814
• ISBN: 978-3-662-52581-4
• No. of pages: 149
• Dimensions: 155 mm x 235 mm x 9 mm
• Weight: 259 g
• Illustrations: XI, 149 p. 4 illus.
• Series: Uncertainty and Operations Research; Uncertainty and Operations Research
• Subjects: Social sciences, law, business > Business > General, dictionaries; Operations Research, B, Management: Entscheidungstheorie, Business and Management, Operations Research/Decision Theory, Operations Research and Decision Theory, Management decision making, Management science, Decision Making, Uncertain DEA, Uncertain random variable, Stochastic DEA, Sensitivity and stability, Ranking criteria