Fuzzy Mathematical Programming: Methods and Applications

Fuzzy Mathematical Programming: Methods and Applications

Fuzzy Mathematical Programming: Methods and Applications

Fuzzy Mathematical Programming: Methods and Applications

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Overview

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.

Product Details

ISBN-13: 9783540560982
Publisher: Springer Berlin Heidelberg
Publication date: 03/17/1995
Series: Lecture Notes in Economics and Mathematical Systems , #394
Pages: 306
Product dimensions: 6.69(w) x 9.61(h) x 0.03(d)

Table of Contents

1 Introduction.- 1.1 Objectives of This Study.- 1.2 Fuzzy Mathematical Programming Problems.- 1.3 Classification of Fuzzy Mathematical Programming.- 1.4 Applications of Fuzzy Mathematical Programming.- 1.5 Literature Survey.- 2 Fuzzy Set Theory.- 2.1 Fuzzy Sets.- 2.2 Fuzzy Set Theory.- 2.3 Membership Functions.- 2.4 Fuzzy Decision and Operators.- 2.5 Fuzzy Arithmetic.- 2.6 Fuzzy Ranking.- 3 Fuzzy Mathematical Programming.- 3.1 Fuzzy Linear Programming Models.- 3.2 Interactive Fuzzy Linear Programming.- 3.3 Some Extensions of Fuzzy Linear Programming Problems.- 4 Possibilistic Programming.- 4.1 Possibilistic Linear Programming Models.- 4.2 Some Extensions of Possibilistic Linear Programming.- 5 Concluding Remarks.- 5.1 Probability Theory versus Fuzzy Set Theory.- 5.2 Shastic versus Possibilistic Programming.- 5.3 Future Research.- 5.4 Introduction of the Following Volume.- 5.5 Fuzzy Multiple Attribute Decision Making.- Books, Monographs and Conference Proceedings.- Journal Articles, Technical Reports and Theses.
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