Multiple Criteria Decision Making Theory and Application : Proceedings of the Third Conference Hagen/Königswinter, West Germany, August 20-24, 1979

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ISBN 10: 3540099638 / ISBN 13: 9783540099635

Published by Springer, 1980

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Zustand: Sehr gut | Seiten: 600 | Sprache: Englisch | Produktart: Bücher | He consider a cone dominance problem: given a "preference" cone lP and a set n X ~ R of available, or feasible, alternatives, the problem is to identify the non­ dominated elements of X. The nonzero elements of lP are assumed to model the do- nance structure of the problem so that y s X dominates x s X if Y = x + P for some nonzero p S lP. Consequently, x S X is nondominated if, and only if, ({x} + lP) n X = {x} (1.1) He will also refer to nondominated points as efficient points (in X with respect to lP) and we will let EF(XJP) denote the set of such efficient points. This cone dominance problem draws its roots from two separate, but related, ori­ gins. The first of these is multi-attribute decision making in which the elements of the set X are endowed with various attributes, each to be maximized or minimized.

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Bibliographic Details

• Title: Multiple Criteria Decision Making Theory and Application : Proceedings of the Third Conference Hagen/Königswinter, West Germany, August 20-24, 1979
• Publisher: Springer
• Publication Date: 1980
• Language: English
• ISBN 10: 3540099638
• ISBN 13: 9783540099635
• Binding: Soft cover
• Condition: Sehr gut
• Seller catalogs:
  • Bücher

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Synopsis

He consider a cone dominance problem: given a "preference" cone lP and a set n X ~ R of available, or feasible, alternatives, the problem is to identify the non­ dominated elements of X. The nonzero elements of lP are assumed to model the do- nance structure of the problem so that y s X dominates x s X if Y = x + P for some nonzero p S lP. Consequently, x S X is nondominated if, and only if, ({x} + lP) n X = {x} (1.1) He will also refer to nondominated points as efficient points (in X with respect to lP) and we will let EF(XJP) denote the set of such efficient points. This cone dominance problem draws its roots from two separate, but related, ori­ gins. The first of these is multi-attribute decision making in which the elements of the set X are endowed with various attributes, each to be maximized or minimized.