Studies in Computational Intelligence
cover

Flexible and Generalized Uncertainty Optimization

Theory and Approaches

Authors: Lodwick, Weldon Alexander, de Salles Neto, Luiz Leduino

  • Discusses how to analyze mathematically imprecise, uncertain, fuzzy information
  • Shows how to construct input data for use in flexible and generalized uncertainty optimization problems Second edition enriched with more examples and a chapter on interval multi-objective mini-max regret theory 
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eBook 74,89 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: January 12, 2021
  • ISBN 978-3-030-61180-4
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 93,59 €
price for Spain (gross)
About this Textbook

This book presents the theory and methods of flexible and generalized uncertainty optimization. Particularly, it describes the theory of generalized uncertainty in the context of optimization modeling. The book starts with an overview of flexible and generalized uncertainty optimization. It covers uncertainties that are both associated with lack of information and are more general than stochastic theory, where well-defined distributions are assumed. Starting from families of distributions that are enclosed by upper and lower functions, the book presents construction methods for obtaining flexible and generalized uncertainty input data that can be used in a flexible and generalized uncertainty optimization model. It then describes the development of the associated optimization model in detail. Written for graduate students and professionals in the broad field of optimization and operations research, this second edition has been revised and extended to include more worked examples and a section on interval multi-objective mini-max regret theory along with its solution method.

About the authors

Weldon Alexander Lodwick is a Full Professor of Mathematics at the University of Colorado Denver. He holds a Ph.D. degree in mathematics (1980) from the Oregon State University. He is the co-editor of the book Fuzzy Optimization: Recent Developments and Applications, Studies in Fuzziness and Soft Computing Vol. 254, Springer-Verlag Berlin Heidelberg, 2010, and the author of the book Interval and Fuzzy Analysis: A Unified Approach in Advances in Imaging and Electronic Physics, Vol. 148, pp. 76–192, Elsevier, 2007. His current research interests include interval analysis, distance geometry, as well as flexible and generalized uncertainty optimization. Over the last thirty years he has taught applied mathematical modeling to undergraduate and graduate students, which covers topics such as radiation therapy of tumor, fuzzy and possibilistic optimization modeling, global optimization, optimal control, molecular distance geometry problems, and neural networks applied to control problems.
Luiz L. Salles-Neto received the M.Sc. degree in mathematics and the Ph.D. degree in computational and applied mathematics from the University of Campinas, Brazil, in 2000 and 2005, respectively. He was a Research Scholar at the Universidad de Sevilla, Spain, in 2009/2010, and a Research Scholar at the University of Colorado Denver, USA, in 2017. He is an Associate Professor at Federal University of São Paulo, Brazil.

Buy this book

eBook 74,89 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: January 12, 2021
  • ISBN 978-3-030-61180-4
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 93,59 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Flexible and Generalized Uncertainty Optimization
Book Subtitle
Theory and Approaches
Authors
Series Title
Studies in Computational Intelligence
Series Volume
696
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-61180-4
DOI
10.1007/978-3-030-61180-4
Hardcover ISBN
978-3-030-61179-8
Series ISSN
1860-949X
Edition Number
2
Number of Pages
VIII, 209
Number of Illustrations
3 b/w illustrations, 30 illustrations in colour
Topics