Fuzzy Stochastic Multiobjective Programming

  • Masatoshi Sakawa
  • Ichiro Nishizaki
  • Hideki Katagiri
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 159)

Table of contents

  1. Front Matter
    Pages 1-1
  2. Masatoshi Sakawa, Ichiro Nishizaki, Hideki Katagiri
    Pages 1-9
  3. Masatoshi Sakawa, Ichiro Nishizaki, Hideki Katagiri
    Pages 11-47
  4. Masatoshi Sakawa, Ichiro Nishizaki, Hideki Katagiri
    Pages 49-99
  5. Masatoshi Sakawa, Ichiro Nishizaki, Hideki Katagiri
    Pages 101-168
  6. Masatoshi Sakawa, Ichiro Nishizaki, Hideki Katagiri
    Pages 169-223
  7. Masatoshi Sakawa, Ichiro Nishizaki, Hideki Katagiri
    Pages 225-245
  8. Back Matter
    Pages 243-259

About this book

Introduction

Although studies on multiobjective mathematical programming under uncertainty have been accumulated and several books on multiobjective mathematical programming under uncertainty have been published (e.g., Stancu-Minasian (1984); Slowinski and Teghem (1990); Sakawa (1993); Lai and Hwang (1994); Sakawa (2000)), there seems to be no book which concerns both randomness of events related to environments and fuzziness of human judgments simultaneously in multiobjective decision making problems. In this book, the authors are concerned with introducing the latest advances in the field of multiobjective optimization under both fuzziness and randomness on the basis of the authors’ continuing research works. Special stress is placed on interactive decision making aspects of fuzzy stochastic multiobjective programming for human-centered systems under uncertainty in most realistic situations when dealing with both fuzziness and randomness. Organization of each chapter is briefly summarized as follows:

Chapter 2 is devoted to mathematical preliminaries, which will be used throughout the remainder

of the book. Starting with basic notions and methods of multiobjective programming, interactive

fuzzy multiobjective programming as well as fuzzy multiobjective programming is outlined.

In Chapter 3, by considering the imprecision of decision maker’s (DM’s) judgment for stochastic

objective functions and/or constraints in multiobjective problems, fuzzy multiobjective stochastic

programming is developed.

In Chapter 4, through the consideration of not only the randomness of parameters involved in

objective functions and/or constraints but also the experts’ ambiguous understanding of the realized values of the random parameters, multiobjective programming problems with fuzzy random variables are formulated.

In Chapter 5, for resolving conflict of decision making problems in hierarchical managerial or

public organizations where there exist two DMs who have different priorities in making decisions, two-level programming problems are discussed.

Finally, Chapter 6 outlines some future research directions.

Keywords

Computational methods Decision Science Fuzziness Multiobjective Programming Operations Research Optimization Randomness Stackleberg games Stochastic Uncertainty

Authors and affiliations

  • Masatoshi Sakawa
    • 1
  • Ichiro Nishizaki
    • 2
  • Hideki Katagiri
    • 3
  1. 1.Graduate School of Engineering, Department of System CyberneticsHiroshima UniversityHigashi-HiroshimaJapan
  2. 2.Graduate School of Engineering, Department of System CyberneticsHiroshima UniversityHigashi-HiroshimaJapan
  3. 3.Graduate School of Engineering, Department of System CyberneticsHiroshima UniversityHigashi-HiroshimaJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-8402-9
  • Copyright Information Springer Science+Business Media, LLC 2011
  • Publisher Name Springer, New York, NY
  • eBook Packages Business and Economics
  • Print ISBN 978-1-4419-8401-2
  • Online ISBN 978-1-4419-8402-9
  • Series Print ISSN 0884-8289
  • About this book