A Nondifferentiable Approach to Multicriteria Optimization
Decision-making problems, the design of control systems, and the construction of multipurpose products all require the solution of multicriteria problems. These problems can be summarized in the following way. Let x ∈R n be an n-dimensional vector of decisions (or construction parameters), and the constraint set X ⊂R n to which the vectors x belong be given. The value of each decision (or the performance of the product) is estimated on the basis of m different scalar-valued criteria (objective functions): F i (x), i∈[1:m]. We shall denote these criteria by F(x) = [F 1(x),...,F m (x)].
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