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Fuzzy Mathematical Programming

Methods and Applications

  • Book
  • © 1992

Overview

Authors:
  1. Young-Jou Lai

    1. Department of Industrial Engineering, Kansas State University, Manhattan, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Ching-Lai Hwang

    1. Department of Industrial Engineering, Kansas State University, Manhattan, USA

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    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-XIII
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  2. Introduction

    • Young-Jou Lai, Ching-Lai Hwang
    Pages 1-13

  3. Fuzzy Set Theory

    • Young-Jou Lai, Ching-Lai Hwang
    Pages 14-73

  4. Fuzzy Mathematical Programming

    • Young-Jou Lai, Ching-Lai Hwang
    Pages 74-186

  5. Possibilistic Programming

    • Young-Jou Lai, Ching-Lai Hwang
    Pages 187-267

  6. Concluding Remarks

    • Young-Jou Lai, Ching-Lai Hwang
    Pages 268-278

  7. Back Matter

    Pages 279-306
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Industrial Engineering, Kansas State University, Manhattan, USA

    Young-Jou Lai, Ching-Lai Hwang

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