Masatoshi Sakawa's Books

Cooperative and Noncooperative Multi-Level Programming

By: Masatoshi Sakawa,Ichiro Nishizaki

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Cooperative and Noncooperative Multi-Level Programming

By: Masatoshi Sakawa,Ichiro Nishizaki

To derive rational and convincible solutions to practical decision making problems in complex and hierarchical human organizations, the decision making problems are formulated as relevant mathematical programming problems which are solved by developing optimization techniques so as to exploit characteristics or structural features of the formulated problems. In particular, for resolving con?ict in decision making in hierarchical managerial or public organizations, the multi level formula tion of the mathematical programming problems has been often employed together with the solution concept of Stackelberg equilibrium. However,weconceivethatapairoftheconventionalformulationandthesolution concept is not always suf?cient to cope with a large variety of decision making situations in actual hierarchical organizations. The following issues should be taken into consideration in expression and formulation of decision making problems. Informulationofmathematicalprogrammingproblems,itistacitlysupposedthat decisions are made by a single person while game theory deals with economic be havior of multiple decision makers with fully rational judgment. Because two level mathematical programming problems are interpreted as static Stackelberg games, multi level mathematical programming is relevant to noncooperative game theory; in conventional multi level mathematical programming models employing the so lution concept of Stackelberg equilibrium, it is assumed that there is no communi cation among decision makers, or they do not make any binding agreement even if there exists such communication. However, for decision making problems in such as decentralized large ?rms with divisional independence, it is quite natural to sup pose that there exists communication and some cooperative relationship among the decision makers.

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250

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Springer Science & Business Media

Published Date

ISBN 10

1441906762

ISBN 13

9781441906762

Fuzzy Sets and Interactive Multiobjective Optimization

By: Masatoshi Sakawa

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Fuzzy Sets and Interactive Multiobjective Optimization

By: Masatoshi Sakawa

The main characteristics of the real-world decision-making problems facing humans today are multidimensional and have multiple objectives including eco nomic, environmental, social, and technical ones. Hence, it seems natural that the consideration of many objectives in the actual decision-making process re quires multiobjective approaches rather than single-objective. One ofthe major systems-analytic multiobjective approaches to decision-making under constraints is multiobjective optimization as a generalization of traditional single-objective optimization. Although multiobjective optimization problems differ from single objective optimization problems only in the plurality of objective functions, it is significant to realize that multiple objectives are often noncom mensurable and conflict with each other in multiobjective optimization problems. With this ob servation, in multiobjective optimization, the notion of Pareto optimality or effi ciency has been introduced instead of the optimality concept for single-objective optimization. However, decisions with Pareto optimality or efficiency are not uniquely determined; the final decision must be selected from among the set of Pareto optimal or efficient solutions. Therefore, the question is, how does one find the preferred point as a compromise or satisficing solution with rational pro cedure? This is the starting point of multiobjective optimization. To be more specific, the aim is to determine how one derives a compromise or satisficing so lution of a decision maker (DM), which well represents the subjective judgments, from a Pareto optimal or an efficient solution set.

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Page Count

319

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Springer Science & Business Media

Published Date

ISBN 10

1489916334

ISBN 13

9781489916334

Genetic Algorithms and Fuzzy Multiobjective Optimization

By: Masatoshi Sakawa

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Genetic Algorithms and Fuzzy Multiobjective Optimization

By: Masatoshi Sakawa

Since the introduction of genetic algorithms in the 1970s, an enormous number of articles together with several significant monographs and books have been published on this methodology. As a result, genetic algorithms have made a major contribution to optimization, adaptation, and learning in a wide variety of unexpected fields. Over the years, many excellent books in genetic algorithm optimization have been published; however, they focus mainly on single-objective discrete or other hard optimization problems under certainty. There appears to be no book that is designed to present genetic algorithms for solving not only single-objective but also fuzzy and multiobjective optimization problems in a unified way. Genetic Algorithms And Fuzzy Multiobjective Optimization introduces the latest advances in the field of genetic algorithm optimization for 0-1 programming, integer programming, nonconvex programming, and job-shop scheduling problems under multiobjectiveness and fuzziness. In addition, the book treats a wide range of actual real world applications. The theoretical material and applications place special stress on interactive decision-making aspects of fuzzy multiobjective optimization for human-centered systems in most realistic situations when dealing with fuzziness. The intended readers of this book are senior undergraduate students, graduate students, researchers, and practitioners in the fields of operations research, computer science, industrial engineering, management science, systems engineering, and other engineering disciplines that deal with the subjects of multiobjective programming for discrete or other hard optimization problems under fuzziness. Real world research applications are used throughout the book to illustrate the presentation. These applications are drawn from complex problems. Examples include flexible scheduling in a machine center, operation planning of district heating and cooling plants, and coal purchase planning in an actual electric power plant.

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Page Count

294

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Springer Science & Business Media

Published Date

ISBN 10

146151519X

ISBN 13

9781461515197

Fuzzy and Multiobjective Games for Conflict Resolution

By: Ichiro Nishizaki,Masatoshi Sakawa

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Fuzzy and Multiobjective Games for Conflict Resolution

By: Ichiro Nishizaki,Masatoshi Sakawa

Decision makers in managerial and public organizations often encounter de cision problems under conflict or competition, because they select strategies independently or by mutual agreement and therefore their payoffs are then affected by the strategies of the other decision makers. Their interests do not always coincide and are at times even completely opposed. Competition or partial cooperation among decision makers should be considered as an essen tial part of the problem when we deal with the decision making problems in organizations which consist of decision makers with conflicting interests. Game theory has been dealing with such problems and its techniques have been used as powerful analytical tools in the resolution process of the decision problems. The publication of the great work by J. von Neumann and O. Morgen stern in 1944 attracted attention of many people and laid the foundation of game theory. We can see remarkable advances in the field of game theory for analysis of economic situations and a number of books in the field have been published in recent years. The aim of game theory is to specify the behavior of each player so as to optimize the interests of the player. It then recommends a set of solutions as strategies so that the actions chosen by each decision maker (player) lead to an outcome most profitable for himself or her self.

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Page Count

264

Publisher

Physica

Published Date

ISBN 10

3790818305

ISBN 13

9783790818307

Linear and Multiobjective Programming with Fuzzy Stochastic Extensions

By: Masatoshi Sakawa,Hitoshi Yano,Ichiro Nishizaki

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Linear and Multiobjective Programming with Fuzzy Stochastic Extensions

By: Masatoshi Sakawa,Hitoshi Yano,Ichiro Nishizaki

Although several books or monographs on multiobjective optimization under uncertainty have been published, there seems to be no book which starts with an introductory chapter of linear programming and is designed to incorporate both fuzziness and randomness into multiobjective programming in a unified way. In this book, five major topics, linear programming, multiobjective programming, fuzzy programming, stochastic programming, and fuzzy stochastic programming, are presented in a comprehensive manner. Especially, the last four topics together comprise the main characteristics of this book, and special stress is placed on interactive decision making aspects of multiobjective programming for human-centered systems in most realistic situations under fuzziness and/or randomness. Organization of each chapter is briefly summarized as follows: Chapter 2 is a concise and condensed description of the theory of linear programming and its algorithms. Chapter 3 discusses fundamental notions and methods of multiobjective linear programming and concludes with interactive multiobjective linear programming. In Chapter 4, starting with clear explanations of fuzzy linear programming and fuzzy multiobjective linear programming, interactive fuzzy multiobjective linear programming is presented. Chapter 5 gives detailed explanations of fundamental notions and methods of stochastic programming including two-stage programming and chance constrained programming. Chapter 6 develops several interactive fuzzy programming approaches to multiobjective stochastic programming problems. Applications to purchase and transportation planning for food retailing are considered in Chapter 7. The book is self-contained because of the three appendices and answers to problems. Appendix A contains a brief summary of the topics from linear algebra. Pertinent results from nonlinear programming are summarized in Appendix B. Appendix C is a clear explanation of the Excel Solver, one of the easiest ways to solve optimization problems, through the use of simple examples of linear and nonlinear programming.

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347

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Springer Science & Business Media

Published Date

ISBN 10

1461493994

ISBN 13

9781461493990

Large Scale Interactive Fuzzy Multiobjective Programming

Decomposition Approaches

By: Masatoshi Sakawa

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Large Scale Interactive Fuzzy Multiobjective Programming

Decomposition Approaches

By: Masatoshi Sakawa

Simultaneous considerations of multiobjectiveness, fuzziness and block angular structures involved in the real-world decision making problems lead us to the new field of interactive multiobjective optimization for large scale programming problems under fuzziness. The aim of this book is to introduce the latest advances in the new field of interactive multiobjective optimization for large scale programming problems under fuzziness on the basis of the author's continuing research. Special stress is placed on interactive decision making aspects of fuzzy multiobjective optimization for human-centered systems in most realistic situations when dealing with fuzziness. The book is intended for graduate students, researchers and practitioners in the fields of operations research, industrial engineering, management science and computer science.

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Page Count

228

Publisher

Physica

Published Date

ISBN 10

3790818518

ISBN 13

9783790818512

Linear and Multiobjective Programming with Fuzzy Stochastic Extensions

By: Masatoshi Sakawa,Hitoshi Yano,Ichiro Nishizaki

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Linear and Multiobjective Programming with Fuzzy Stochastic Extensions

By: Masatoshi Sakawa,Hitoshi Yano,Ichiro Nishizaki

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347

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ISBN 10

1461493994

ISBN 13

9781461493990

Genetic Algorithms and Fuzzy Multiobjective Optimization

By: Masatoshi Sakawa

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Genetic Algorithms and Fuzzy Multiobjective Optimization

By: Masatoshi Sakawa

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Page Count

306

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Springer Science & Business Media

Published Date

ISBN 10

0792374525

ISBN 13

9780792374527

Cooperative and Noncooperative Multi-Level Programming

By: Masatoshi Sakawa,Ichiro Nishizaki

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Cooperative and Noncooperative Multi-Level Programming

By: Masatoshi Sakawa,Ichiro Nishizaki

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250

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ISBN 10

1441906762

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9781441906762

Fuzzy Stochastic Multiobjective Programming

By: Masatoshi Sakawa,Ichiro Nishizaki,Hideki Katagiri

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Fuzzy Stochastic Multiobjective Programming

By: Masatoshi Sakawa,Ichiro Nishizaki,Hideki Katagiri

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.

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Page Count

268

Publisher

Springer Science & Business Media

Published Date

ISBN 10

144198402X

ISBN 13

9781441984029

Multiple Criteria Decision Analysis in Regional Planning

Concepts, Methods and Applications

By: Fumiko Seo,Masatoshi Sakawa

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Multiple Criteria Decision Analysis in Regional Planning

Concepts, Methods and Applications

By: Fumiko Seo,Masatoshi Sakawa

This book is devoted to presenting theoretical fundamentals for the methods of multiple criteria decision making (MCDM) in the social sciences with particular intent to their applicability to real-world decision making. The main characteristics of the complex problems facing humans in the world today are multidimensional and have multiple objecti ves; they are large-scale, and have nonconimensura te and conflicting objectives, such as economic, environmental, societal, technical, and aesthetic ones. The authors intend to establish basic concepts for treating these complex problems and to present methodological discussions for MCDM with some applications to administrative, or regional, planning. MCDM is composed of two phases: analytical and judgmental. In this book, we intend to consolidate these two phases and to present integrated methodologies for manipulating them with particular interest in managerial decision making, which has not yet been properly treated in spite of its urgent necessi ty. Al though a number of books in MCDM fields have already been published in recent years, most of them have mainly trea ted one aspect of MCDM. Our work specifically intends to trea t the methodology in unified systems and to construct a conceptual structure with special regards to the intrinsic properties of MCDM and its "economic meanings" from the social scientific point of view.

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Page Count

551

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9400940351

ISBN 13

9789400940352

Large Scale Interactive Fuzzy Multiobjective Programming

Decomposition Approaches

By: Masatoshi Sakawa

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Large Scale Interactive Fuzzy Multiobjective Programming

Decomposition Approaches

By: Masatoshi Sakawa

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Page Count

228

Publisher

Physica

Published Date

ISBN 10

3790818518

ISBN 13

9783790818512

Fuzzy and Multiobjective Games for Conflict Resolution

By: Ichiro Nishizaki,Masatoshi Sakawa

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Fuzzy and Multiobjective Games for Conflict Resolution

By: Ichiro Nishizaki,Masatoshi Sakawa

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Page Count

258

Publisher

Physica

Published Date

ISBN 10

3662003643

ISBN 13

9783662003640

Book's by Masatoshi Sakawa

Cooperative and Noncooperative Multi-Level Programming

Cooperative and Noncooperative Multi-Level Programming

Fuzzy Sets and Interactive Multiobjective Optimization

Fuzzy Sets and Interactive Multiobjective Optimization

Genetic Algorithms and Fuzzy Multiobjective Optimization

Genetic Algorithms and Fuzzy Multiobjective Optimization

Fuzzy and Multiobjective Games for Conflict Resolution

Fuzzy and Multiobjective Games for Conflict Resolution

Linear and Multiobjective Programming with Fuzzy Stochastic Extensions

Linear and Multiobjective Programming with Fuzzy Stochastic Extensions

Large Scale Interactive Fuzzy Multiobjective Programming

Large Scale Interactive Fuzzy Multiobjective Programming

Linear and Multiobjective Programming with Fuzzy Stochastic Extensions

Linear and Multiobjective Programming with Fuzzy Stochastic Extensions

Genetic Algorithms and Fuzzy Multiobjective Optimization

Genetic Algorithms and Fuzzy Multiobjective Optimization

Cooperative and Noncooperative Multi-Level Programming

Cooperative and Noncooperative Multi-Level Programming

Fuzzy Stochastic Multiobjective Programming

Fuzzy Stochastic Multiobjective Programming

Multiple Criteria Decision Analysis in Regional Planning

Multiple Criteria Decision Analysis in Regional Planning

Large Scale Interactive Fuzzy Multiobjective Programming

Large Scale Interactive Fuzzy Multiobjective Programming

Fuzzy and Multiobjective Games for Conflict Resolution

Fuzzy and Multiobjective Games for Conflict Resolution

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