Quantitative Pareto Analysis by Cone Separation Technique - Rilegato

Kaliszewski, Ignacy

 
9780792394921: Quantitative Pareto Analysis by Cone Separation Technique

Sinossi

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.

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Contenuti

Preface. Notation. 1. Introduction. 2. Basic Elements. 3. Cones, Efficiency and Proper Efficiency -- a General Setting. 4. Proper Efficiency with Respect to k+. 5. Quantitative Pareto Analysis. 6. Substantial Efficiency. 7. Computational Tractability of the Quantitative Pareto Analysis. References. Index.

Product Description

Book by Kaliszewski Ignacy

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Altre edizioni note dello stesso titolo

9781461361978: Quantitative Pareto Analysis by Cone Separation Technique

Edizione in evidenza

ISBN 10:  1461361974 ISBN 13:  9781461361978
Casa editrice: Springer, 2012
Brossura