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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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.
Book by Kaliszewski Ignacy
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Condizione: New. Presents interactive mathematics within a self-contained framework, the cone separation technique. This work interprets elements of interactive, multiple-objective decision making in terms of cone separation. It treats the topic formally, but the mathematics is subordinate to the technique of seeking results to assist decision making. Num Pages: 160 pages, biography. BIC Classification: KJMD; PBW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 11. Weight in Grams: 950. . 1994. Hardback. . . . . Codice articolo V9780792394921
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Buch. Condizione: Neu. Quantitative Pareto Analysis by Cone Separation Technique | Ignacy Kaliszewski | Buch | Einband - fest (Hardcover) | Englisch | 1994 | Springer US | EAN 9780792394921 | Verantwortliche Person für die EU: Springer Heidelberg, Tiergartenstr. 17, 69121 Heidelberg, buchhandel-buch[at]springer[dot]com | Anbieter: preigu Print on Demand. Codice articolo 102025017
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