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.
General
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