Models and methods for interval-valued cooperative games in economic management.
2016
HB71-74
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Details
Title
Models and methods for interval-valued cooperative games in economic management.
Author
Li, Deng-Feng.
ISBN
9783319289984 (electronic book)
3319289985 (electronic book)
3319289969
9783319289960
3319289985 (electronic book)
3319289969
9783319289960
Publication Details
[Place of publication not identified] : Springer, 2016.
Language
English
Description
1 online resource
Call Number
HB71-74
Dewey Decimal Classification
330
Summary
This book proposes several commonly used interval-valued solution concepts of interval-valued cooperative games with transferable utility. It thoroughly investigates these solutions, thereby establishing the properties, models, methods, and applications. The first chapter proposes the interval-valued least square solutions and quadratic programming models, methods, and properties. Next, the satisfactory-degree-based non-linear programming models for computing interval-valued cores and corresponding bisection algorithm are explained. Finally, the book explores several simplification methods of interval-valued solutions: the interval-valued equal division and equal surplus division values; the interval-valued Shapley, egalitarian Shapley, and discounted Shapley values; the interval-valued solidarity and generalized solidarity values; and the interval-valued Banzhaf value. This book is designed for individuals from different fields and disciplines, such as decision science, game theory, management science, operations research, fuzzy sets or fuzzy mathematics, applied mathematics, industrial engineering, finance, applied economics, expert system, and social economy as well as artificial intelligence. Moreover, it is suitable for teachers, postgraduates, and researchers from different disciplines: decision analysis, management, operations research, fuzzy mathematics, fuzzy system analysis, applied mathematics, systems engineering, project management, supply chain management, industrial engineering, applied economics, and hydrology and water resources.
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Includes bibliographical references at the end of each chapters.
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Models and methods for interval-valued cooperative games in economic management.
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Table of Contents
The Interval-Valued Least Square Solutions of Interval-Valued Cooperative Games
Satisfactory Interval-Valued Cores of Interval-Valued Cooperative Games
Several Interval-Valued Solutions of Interval-Valued Cooperative Games and Simplified Methods.
Satisfactory Interval-Valued Cores of Interval-Valued Cooperative Games
Several Interval-Valued Solutions of Interval-Valued Cooperative Games and Simplified Methods.