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  • © 2012

Fuzzy Stochastic Optimization

Theory, Models and Applications

  • Examines statistical methods with fuzzy data based on the fuzzy random variable

  • Covers how to characterize information which is both probabilistically uncertain and fuzzily imprecise

  • Discusses building optimization models working with uncertain data

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xvi
  2. Introduction

    • Shuming Wang, Junzo Watada
    Pages 1-5
  3. Theory

    1. Front Matter

      Pages 7-7
    2. Fuzzy Random Variable

      • Shuming Wang, Junzo Watada
      Pages 9-54
    3. Fuzzy Stochastic Renewal Processes

      • Shuming Wang, Junzo Watada
      Pages 55-82
  4. Models

    1. Front Matter

      Pages 83-83
  5. Real-Life Applications

    1. Front Matter

      Pages 199-199
    2. Case Study I: Dam Control System Design

      • Shuming Wang, Junzo Watada
      Pages 201-213
    3. Case Study II: Location Selection for Frozen Food Plants

      • Shuming Wang, Junzo Watada
      Pages 215-225
  6. Back Matter

    Pages 239-248

About this book

In 2014, winner of "Outstanding Book Award" by The Japan Society for Fuzzy Theory and Intelligent Informatics.

Covering in detail both theoretical and practical perspectives, this book is a self-contained and systematic depiction of current fuzzy stochastic optimization that deploys the fuzzy random variable as a core mathematical tool to model the integrated fuzzy random uncertainty. It proceeds in an orderly fashion from the requisite theoretical aspects of the fuzzy random variable to fuzzy stochastic optimization models and their real-life case studies.

 

The volume reflects the fact that randomness and fuzziness (or vagueness) are two major sources of uncertainty in the real world, with significant implications in a number of settings. In industrial engineering, management and economics, the chances are high that decision makers will be confronted with information that is simultaneously probabilistically uncertain and fuzzily imprecise, and optimization in the form of a decision must be made in an environment that is doubly uncertain, characterized by a co-occurrence of randomness and fuzziness. This book begins by outlining the history and development of the fuzzy random variable before detailing numerous optimization models and applications that include the design of system controls for a dam.









Reviews

From the reviews:

“Fuzzy stochastic optimization models can be divided into two main classes: single-stage and multistage models. The book consists of three parts: ‘Theory’, ‘Models’ and ‘Real-life applications’. … This book may be useful for students and researchers in uncertain programming.” (Róbert Fullér, Mathematical Reviews, January, 2013)

Authors and Affiliations

  • Waseda University, Fukuoka, Japan

    Shuming Wang, Junzo Watada

About the authors

In 2014, winner of "Outstanding Book Award" by The Japan Society for Fuzzy Theory and Intelligent Informatics. Dr. Shuming Wang received his Ph.D in Engineering at WASEDA University, Japan, 2011. He was a Special Research Fellow of the Japan Society for the Promotion of Science (JSPS), Japan, and worked as a Researcher in Research Institute and Risk Management Division of China Galaxy Securities Co. LTD (HQ), Beijing, China. Currently, Dr. Wang is being with National University of Singapore (NUS) as a Research Fellow, he is also an Adjunct Researcher of WASEDA University, Japan.

Dr. Wang has published more than 20 international journal and conference papers in the fields of optimization under uncertainty, soft computing, and industrial engineering. He has also served as a referee for several international journals, including, IEEE Transactions on Systems, Man & Cybernetics: Systems, IEEE Transactions on Systems, Man & Cybernetics: Cybernetics, IEEE Transactions on Industrial Electronics, IEEE Transactions on Engineering Management, Annals of Operations Research, International Journal of Production Research, and Journal of Global Optimization.

Dr. Junzo Watada is currently a full professor of Management Engineering, Knowledge Engineering and Soft Computing at Graduate School of Information, Production & Systems, Waseda University. He is the Principal Editor, a Co-Editor and an A

ssociate Editor of various international journals, including International Journal of Biomedical Soft Computing and Human Sciences, ICIC Express Letters, International J

ournal of Systems and Control Engineering, and Fuzzy Optimization & Decision Making.

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access