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Multicriteria Optimization in Engineering and in the Sciences (Hardcover, 1988 ed.)
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Multicriteria Optimization in Engineering and in the Sciences (Hardcover, 1988 ed.)
Series: Mathematical Concepts and Methods in Science and Engineering, 37
Expected to ship within 12 - 17 working days
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We are rarely asked to. make decisions based on only one criterion;
most often, decisions are based on several usually confticting,
criteria. In nature, if the design of a system evolves to some
final, optimal state, then it must include a balance for the
interaction of the system with its surroundings certainly a design
based on a variety of criteria. Furthermore, the diversity of
nature's designs suggests an infinity of such optimal states. In
another sense, decisions simultaneously optimize a finite number of
criteria, while there is usually an infinity of optimal solutions.
Multicriteria optimization provides the mathematical framework to
accommodate these demands. Multicriteria optimization has its roots
in mathematical economics, in particular, in consumer economics as
considered by Edgeworth and Pareto. The critical question in an
exchange economy concerns the "equilibrium point" at which each of
N consumers has achieved the best possible deal for hirnself or
herself. Ultimately, this is a collective decision in which any
further gain by one consumer can occur only at the expense of at
least one other consumer. Such an equilibrium concept was first
introduced by Edgeworth in 1881 in his book on mathematical
psychics. Today, such an optimum is variously called "Pareto
optimum" (after the Italian-French welfare economist who continued
and expanded Edgeworth's work), "effi. cient," "nondominated," and
so on."
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