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Cooperative and Noncooperative Multi-Level Programming

2009-07-01 Business & Economics
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Release : 2009-07-01
Genre : Business & Economics
Kind : eBook
Book Rating : 755/5 ( reviews)

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Book Synopsis Cooperative and Noncooperative Multi-Level Programming by : Masatoshi Sakawa

Download or read book Cooperative and Noncooperative Multi-Level Programming written by Masatoshi Sakawa. This book was released on 2009-07-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Cooperative and Noncooperative Multi-Level Programming

2009-06-18 Business & Economics
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Release : 2009-06-18
Genre : Business & Economics
Kind : eBook
Book Rating : 762/5 ( reviews)

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Book Synopsis Cooperative and Noncooperative Multi-Level Programming by : Masatoshi Sakawa

Download or read book Cooperative and Noncooperative Multi-Level Programming written by Masatoshi Sakawa. This book was released on 2009-06-18. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fuzzy and Multi-Level Decision Making

2012-12-06 Technology & Engineering
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Release : 2012-12-06
Genre : Technology & Engineering
Kind : eBook
Book Rating : 830/5 ( reviews)

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Book Synopsis Fuzzy and Multi-Level Decision Making by : E. Stanley Lee

Download or read book Fuzzy and Multi-Level Decision Making written by E. Stanley Lee. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Managerial Decisions in hierarchy organizations, such as the various manufacturing and service companies, are difficult to formalize and even more difficult to optimize. By exploring the typical fuzziness, vagueness, or the "not-well-defined" nature of such organizations, this book presents the first comprehensive treatment of this difficult and practically important problem. The advantages of the proposed fuzzy interactive approach are that it significantly reduces computational requirements. Equally, the representation of the system is made more realistic through the recognition of the inherent fuzziness of such large organizations. Both the multi-ploy and the game-like decision making processes, also known as multi-level programming and the fuzzy interactive approach, are discussed in detail. The emphasis is on numerical algorithms and numerous examples are solved and compared. The concepts of fuzzy set and fuzzy linguistic representation, which form an integral part of any managerial decision, are also discussed.

Fuzzy and Multi-Level Decision Making: Soft Computing Approaches

2018-12-14 Technology & Engineering
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Release : 2018-12-14
Genre : Technology & Engineering
Kind : eBook
Book Rating : 253/5 ( reviews)

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Book Synopsis Fuzzy and Multi-Level Decision Making: Soft Computing Approaches by : Chi-Bin Cheng

Download or read book Fuzzy and Multi-Level Decision Making: Soft Computing Approaches written by Chi-Bin Cheng. This book was released on 2018-12-14. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive overview of cutting-edge approaches for decision-making in hierarchical organizations. It presents soft-computing-based techniques, including fuzzy sets, neural networks, genetic algorithms and particle swarm optimization, and shows how these approaches can be effectively used to deal with problems typical of this kind of organization. After introducing the main classical approaches applied to multiple-level programming, the book describes a set of soft-computing techniques, demonstrating their advantages in providing more efficient solutions to hierarchical decision-making problems compared to the classical methods. Based on the book Fuzzy and Multi-Level Decision Making (Springer, 2001) by Lee E.S and Shih, H., this second edition has been expanded to include the most recent findings and methods and a broader spectrum of soft computing approaches. All the algorithms are presented in detail, together with a wealth of practical examples and solutions to real-world problems, providing students, researchers and professionals with a timely, practice-oriented reference guide to the area of interactive fuzzy decision making, multi-level programming and hierarchical optimization.

Facets of Uncertainties and Applications

2015-05-11 Mathematics
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Release : 2015-05-11
Genre : Mathematics
Kind : eBook
Book Rating : 012/5 ( reviews)

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Book Synopsis Facets of Uncertainties and Applications by : Mihir K. Chakraborty

Download or read book Facets of Uncertainties and Applications written by Mihir K. Chakraborty. This book was released on 2015-05-11. Available in PDF, EPUB and Kindle. Book excerpt: Since the emergence of the formal concept of probability theory in the seventeenth century, uncertainty has been perceived solely in terms of probability theory. However, this apparently unique link between uncertainty and probability theory has come under investigation a few decades back. Uncertainties are nowadays accepted to be of various kinds. Uncertainty in general could refer to different sense like not certainly known, questionable, problematic, vague, not definite or determined, ambiguous, liable to change, not reliable. In Indian languages, particularly in Sanskrit-based languages, there are other higher levels of uncertainties. It has been shown that several mathematical concepts such as the theory of fuzzy sets, theory of rough sets, evidence theory, possibility theory, theory of complex systems and complex network, theory of fuzzy measures and uncertainty theory can also successfully model uncertainty.

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