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Quantitative Pareto Analysis by Cone Separation Technique

ISBN-10: 1461361974
ISBN-13: 9781461361978
Edition: 1994
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Description: This monograph presents interactive mathematics within a self-contained framework, the cone separation technique. This framework affords a unified approach to multiple objective decision problems and their most common model, the vector optimization  More...

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Book details

Copyright year: 1994
Publisher: Springer
Publication date: 12/22/2012
Binding: Paperback
Pages: 160
Size: 6.10" wide x 9.20" long
Weight: 0.616
Language: English

This monograph presents interactive mathematics within a self-contained framework, the cone separation technique. This framework affords a unified approach to multiple objective decision problems and their most common model, the vector optimization problem, regardless of their linear, discrete, continuous, convex, or nonconvex nature. With this approach, the analysis of relations between efficient decisions is significantly broadened, new facts are identified and proved. The cone separation technique gives the decision maker or researcher better methods for analyzing potential efficiency solutions. Specifically, the framework can add any of the following to a solution: a simple way of creating hierarchical structures over sets of efficient decisions; a way of visualizing the decision making process by a method of graphic approximation; a method to calculate trade-offs and gain-to-loss ratios; and sensitivity analysis of efficient solutions with respect to perturbation analysis. It is the first monograph which interprets elements of interactive, multiple-objective decision making in terms of cone separation. The book treats the topic formally, but the mathematics is subordinate to the technique of seeking results to assist decision making.

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