
The authors describe an interactive fuzzy programming for multi-level 0-1-programming problems, In these problems each of \(t\) decision makers has his own linear objective function, which depends on \(t\) (0-1)-vectors. The set of feasible solutions is described by a system of linear inequalities and is common for all decision makers. Each decision maker tries to optimize his own objective function, but is prepared to cooperate with the others. The authors suggest an interactive method, which makes possible, after determining fuzzy goals of the decision makers, to find a satisfactory compromise solution under the assumption that each decision maker takes into account also the interests of the others. The method can be applied especially to hierarchical decision problems with cooperative participants. The method is illustrated by a numerical example with three decision makers.
Management decision making, including multiple objectives, Fuzzy and other nonstochastic uncertainty mathematical programming, interactive method, Decision theory, multi-level 0-1-programming, Multi-objective and goal programming, interactive fuzzy programming, fuzzy goals
Management decision making, including multiple objectives, Fuzzy and other nonstochastic uncertainty mathematical programming, interactive method, Decision theory, multi-level 0-1-programming, Multi-objective and goal programming, interactive fuzzy programming, fuzzy goals
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