Fuzzy Mathematical Programming

Methods and Applications

  • Young-Jou Lai
  • Ching-Lai Hwang

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 394)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Young-Jou Lai, Ching-Lai Hwang
    Pages 1-13
  3. Young-Jou Lai, Ching-Lai Hwang
    Pages 14-73
  4. Young-Jou Lai, Ching-Lai Hwang
    Pages 74-186
  5. Young-Jou Lai, Ching-Lai Hwang
    Pages 187-267
  6. Young-Jou Lai, Ching-Lai Hwang
    Pages 268-278
  7. Back Matter
    Pages 279-306

About this book

Introduction

In the last 25 years, the fuzzy set theory has been applied in many disciplines such as operations research, management science, control theory,artificial intelligence/expert system, etc. In this volume, methods and applications of fuzzy mathematical programming and possibilistic mathematical programming are first systematically and thoroughly reviewed and classified. This state-of-the-art survey provides readers with a capsule look into the existing methods, and their characteristics and applicability to analysis of fuzzy and possibilistic programming problems. To realize practical fuzzy modelling, we present solutions for real-world problems including production/manufacturing, transportation, assignment, game, environmental management, resource allocation, project investment, banking/finance, and agricultural economics. To improve flexibility and robustness of fuzzy mathematical programming techniques, we also present our expert decision-making support system IFLP which considers and solves all possibilities of a specific domain of (fuzzy) linear programming problems. Basic fuzzy set theories, membership functions, fuzzy decisions, operators and fuzzy arithmetic are introduced with simple numerical examples in aneasy-to-read and easy-to-follow manner. An updated bibliographical listing of 60 books, monographs or conference proceedings, and about 300 selected papers, reports or theses is presented in the end of this study.

Keywords

Addition Arithmetic Decision Theory Division Entscheidungstheorie Fuzzy Sets Mathematical Programming Mathematische Programmierung Multiplication Subtraction set theory

Authors and affiliations

  • Young-Jou Lai
    • 1
  • Ching-Lai Hwang
    • 1
  1. 1.Department of Industrial EngineeringKansas State UniversityManhattanUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-48753-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-56098-2
  • Online ISBN 978-3-642-48753-8
  • Series Print ISSN 0075-8442
  • About this book