Uncertain Data Envelopment Analysis

  • Meilin Wen

Part of the Uncertainty and Operations Research book series (UOR)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Meilin Wen
    Pages 1-44
  3. Meilin Wen
    Pages 45-59
  4. Meilin Wen
    Pages 61-81
  5. Meilin Wen
    Pages 83-116
  6. Meilin Wen
    Pages 117-137
  7. Meilin Wen
    Pages 139-147
  8. Back Matter
    Pages 149-149

About this book

Introduction

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.

Keywords

Congestion analysis Credibility variable Data envelopment analysis Fuzzy DEA Fuzzy simulation Genetic algorithm Hybrid DEA Random variable Ranking criteria Sensitivity and stability Stochastic DEA Uncertain DEA Uncertain random variable

Authors and affiliations

  • Meilin Wen
    • 1
  1. 1.Science and Technology on Reliability and Environmental Engineering Laboratory, School of Reliability and Systems EngineeringBeihang UniversityBeijingChina

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-43802-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2015
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Business and Economics
  • Print ISBN 978-3-662-43801-5
  • Online ISBN 978-3-662-43802-2
  • Series Print ISSN 2195-996X
  • Series Online ISSN 2195-9978
  • About this book
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