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

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 do...

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Bibliographic Details
Other Authors: Fandel, G. (Editor), Gal, T. (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1980, 1980
Edition:1st ed. 1980
Series:Lecture Notes in Economics and Mathematical Systems
Subjects:
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Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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Summary: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
Physical Description:XVI, 578 p online resource
ISBN:9783642487828