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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.
The book investigates the identification of non-dominated elements within a set of feasible alternatives, given a preference cone. The authors, G. Fandel and T. Gal, present the cone dominance problem, where dominance is defined by the addition of a non-zero vector from a preference cone. This framework is rooted in multi-attribute decision making, where elements are evaluated based on various attributes to be maximized or minimized. The text explores the mathematical underpinnings of identifying these efficient points within a given set.
This volume, a collection of proceedings from a 1979 conference, focuses on the theoretical and applied aspects of Multiple Criteria Decision Making. The content likely delves into advanced mathematical and operational research techniques for analyzing complex choices with multiple, often conflicting, objectives. The technical nature of the subject matter suggests it is aimed at researchers and practitioners in fields such as economics, operations research, and management science.
Page Count:
578
Publication Date:
2012-12-06
Publisher:
Springer Science & Business Media
ISBN-10:
3642487823
ISBN-13:
9783642487828
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