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E-book
Author Li, Deng-Feng, 1965- author.

Title Linear programming models and methods of matrix games with payoffs of triangular fuzzy numbers / Deng-Feng Li
Published Heidelberg : Springer, [2016]
©2016

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Description 1 online resource (xvi, 165 pages) : illustrations (some color)
Series Studies in Fuzziness and Soft Computing, 1860-0808 ; volume 328
Studies in fuzziness and soft computing ; v. 328. 1434-9922
Contents PART I. MODELS AND METHODS OF MATRIX GAMES WITH PAYOFFS OF TRIANGULAR FUZZY NUMBERS -- 1. Interval-Valued Matrix Games. 1.1. Introduction. 1.2. Matrix Games and Auxiliary Linear Programming Models. 1.3. Interval-Valued Mathematical Programming Models of Interval-Valued Matrix Games. 1.4. Acceptability-Degree-Based Linear Programming Models of Interval-Valued Matrix Games. 1.5. The Lexicographic Method of Interval-Valued Matrix Games. 1.6. Primal-Dual Linear Programming Models of Interval-Valued Matrix Games. 2. Matrix Games with Payoffs of Triangular Fuzzy Numbers -- 2.1. Introduction. 2.2. Triangular Fuzzy Numbers and Alfa-Cut Sets. 2.3. Fuzzy Multi-Objective Programming Models of Matrix Games with Payoffs of Triangular Fuzzy Numbers. 2.4. Two-Level Linear Programming Models of Matrix Games with Payoffs of Triangular Fuzzy Numbers. 2.5. The Lexicographic Method of Matrix Games with Payoffs of Triangular Fuzzy Numbers. 2.6. Alfa-Cut-Based Primal-Dual Linear Programming Models of Matrix Games with Payoffs of Triangular Fuzzy Numbers
PART II. MODELS AND METHODS OF CONSTRAINED MATRIX GAMES WITH PAYOFFS OF TRIANGULAR FUZZY NUMBERS -- 3. Interval-Valued Constrained Matrix Games. 3.1. Introduction. 3.2. Constrained Matrix Games and Auxiliary Linear Programming Models. 3.3. Primal-Dual Linear Programming Models of Interval-Valued Constrained Matrix Games -- 4. Constrained Matrix Games with Payoffs of Triangular Fuzzy Numbers. 4.1. Introduction. 4.2. Fuzzy Multi-Objective Programming Models of Constrained Matrix Games with Payoffs of Triangular Fuzzy Numbers. 4.3. Alfa-Cut-Based Primal-Dual Linear Programming Models of Constrained Matrix Games with Payoffs of Triangular Fuzzy Numbers
Summary This book addresses two-person zero-sum finite games in which the payoffs in any situation are expressed with fuzzy numbers. The purpose of this book is to develop a suite of effective and efficient linear programming models and methods for solving matrix games with payoffs in fuzzy numbers. Divided into six chapters, it discusses the concepts of solutions of matrix games with payoffs of intervals, along with their linear programming models and methods. Furthermore, it is directly relevant to the research field of matrix games under uncertain economic management. The book offers a valuable resource for readers involved in theoretical research and practical applications from a range of different fields including game theory, operational research, management science, fuzzy mathematical programming, fuzzy mathematics, industrial engineering, business and social economics
Bibliography Includes bibliographical references
Notes English
Online resource; title from PDF title page (SpringerLink, viewed March 16, 2016)
Subject Fuzzy decision making.
Fuzzy sets.
Fuzzy numbers.
Linear programming
Matrices.
Operations research.
Fuzzy decision making.
Fuzzy numbers.
Fuzzy sets.
Linear programming.
Matrices.
Operations research.
Genre/Form Electronic books
Form Electronic book
ISBN 9783662484760
3662484765