ENGLISH

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

By Prof. Dr. Günter Fandel , Prof. Dr. Dr. Tomas Gal (eds.) , Aharon Ben-Tal (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1980
ISBN
978-3-540-09963-5, 978-3-642-48782-8
DOI
10.1007/978-3-642-48782-8
Language
english
Format
PDF
Filesize
12 MB (12672652 bytes)
Series
Lecture Notes in Economics and Mathematical Systems 177
Edition
1
Pages
578\589
Time added
2013-12-12 02:00:00
Economics/Management Sciencegeneral

Description

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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