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Uncertain data envelopment analysis / Meilin Wen.

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 r...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Wen, Meilin (Author)
Format: eBook
Language:English
Published: Berlin : Springer, [2014]
Series:Uncertainty and operations research.
Subjects:
Data envelopment analysis.

MARC

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245 1 0 |a Uncertain data envelopment analysis /  |c Meilin Wen. 
264 1 |a Berlin :  |b Springer,  |c [2014] 
264 4 |c ©2015. 
300 |a 1 online resource (xi, 149 pages) :  |b illustrations. 
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490 1 |a Uncertainty and Operations Research,  |x 2195-996X. 
504 |a Includes bibliographical references. 
505 0 |a Preface; Uncertain Theories; Introduction to DEA; Stochastic DEA; Fuzzy DEA; Uncertain DEA; Hybrid DEA; Purpose; Acknowledgment; Contents; 1 Uncertain Theories; 1.1 Probability Theory; 1.1.1 Probability Measure; 1.1.2 Random Variable; 1.1.3 Operational Law; 1.1.4 Expected Value; 1.2 Credibility Theory; 1.2.1 Credibility Measure; 1.2.2 Fuzzy Variable; 1.2.3 Expected Value; 1.3 Uncertainty Theory; 1.3.1 Uncertain Measure; 1.3.2 Uncertain Variable; 1.3.3 Operational Law; 1.3.4 Expected Value; 1.4 Chance Theory; 1.4.1 Uncertain Random Variable; 1.4.2 Uncertain Random Measure. 
505 8 |a 1.4.3 Operational Law1.4.4 Expected Value; References; 2 Introduction to DEA; 2.1 Symbols and Notations; 2.2 CCR Model; 2.3 BCC Model; 2.4 Additive Model; 2.5 SBM Model; 2.6 Russell Measure Model; References; 3 Stochastic DEA ; 3.1 Symbols and Notations; 3.2 Stochastic DEA Models; 3.2.1 Marginal Chance-Constrained Models; 3.2.2 Satisfying DEA Models; 3.3 Stochastic DEA Ranking Criteria; 3.3.1 Expected Ranking Criterion; 3.3.2 Optimistic Ranking Criterion; 3.3.3 Maximal Chance Ranking Criterion; 3.3.4 Hurwicz Ranking Criterion; References; 4 Fuzzy DEA ; 4.1 Symbols and Notations. 
505 8 |a 4.2 Fuzzy DEA Models4.3 Sensitivity and Stability; 4.4 Fuzzy DEA Ranking Criteria; 4.4.1 Expected Ranking Criterion; 4.4.2 Optimistic Ranking Criterion; 4.4.3 Maximal Chance Ranking Criterion; 4.4.4 Hurwicz Ranking Criterion; 4.4.5 Numerical Examples; 4.5 Fuzzy Congestion; 4.5.1 Congestion in DEA; 4.5.2 Fuzzy Congestion; 4.5.3 A Numerical Example; 4.6 Hybrid Intelligent Algorithm; 4.6.1 Fuzzy Simulations; 4.6.2 Genetic Algorithm; 4.6.3 Hybrid Intelligent Algorithm; References; 5 Uncertain DEA ; 5.1 Symbols and Notations; 5.2 Uncertain DEA Models; 5.3 Sensitivity and Stability. 
505 8 |a 5.4 Uncertain DEA Ranking Criteria5.4.1 Expected Ranking Criterion; 5.4.2 Optimistic Ranking Criterion; 5.4.3 Maximal Chance Ranking Criterion; 5.4.4 Hurwicz Ranking Criterion; 5.5 Uncertain Congestion; References; 6 Hybrid DEA ; 6.1 Symbols and Notations; 6.2 Hybrid DEA Models; 6.3 Hybrid DEA Ranking Criteria; 6.3.1 Expected Ranking Criterion; 6.3.2 Optimistic Ranking Criterion; 6.3.3 Maximal Chance Ranking Criterion; 6.3.4 Hurwicz Ranking Criterion; 6.4 Hybrid Congestion; References; List of Frequently Used Symbols. 
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