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This book provides an introduction to incorporating preference
information in Data Envelopment Analysis (DEA) with a special
emphasis in Value Efficiency Analysis. In addition to theoretical
considerations, numerous illustrative examples are included. Hence,
the book can be used as a teaching text as well. Only a modest
mathematical background is needed to understand the main
principles. The only prerequisites are a) familiarity with linear
algebra, especially matrix calculus; b) knowledge of the simplex
method; and c) familiarity with the use of computer software. The
book is organized as follows. Chapter 1 provides motivation and
introduces the basic concepts. Chapter 2 provides the basic ideas
and models of Data Envelopment Analysis. The efficient frontier and
production possibility set concepts play an important role in all
considerations. That's why these concepts are considered more
closely in Chapter 3. Since the approaches introduced in this study
are inspired by Multiple Objective Linear Programming, the basic
concepts of this field are reviewed in Chapter 4. Chapter 5 also
compares and contrasts Data Envelopment Analysis and Multiple
Objective Linear Programming, providing some cornerstones for
approaches presented later in the book. Chapter 6 discusses the
traditional approaches to take into account preference information
in DEA. In Chapter 7, Value Efficiency is introduced, and Chapter 8
discusses practical aspects. Some extensions are presented in
Chapter 9, and in Chapter 10 Value Efficiency is extended to cover
the case when a production possibility set is not convex. Three
implemented applications are reviewed in Chapter 11.
This book offers a comprehensive introduction to decision-making in
an MCDM framework. Designed as a tutorial, it presents the main
concepts and methods to be applied, together with essential
background information. This includes the concept of nondominance,
Simon's bounded rationality, Tversky and Kahneman's prospect
theory, and the concepts of behavioral vs. mathematical convergence
and premature stopping put forward by Korhonen, Moskowitz and
Wallenius. The book concludes with a non-technical review of many
popular decision algorithms, including the Analytic Hierarchy
Process (AHP), VIMDA, and a number of classic interactive
man-machine algorithms. In essence, the book is a "one-stop" source
on everything you need to know about managerial decision-making in
the multiple-criteria setting.
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