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[Lecture Notes in Economics and Mathematical Systems] Multiple Criteria Decision Making Theory and Application Volume 177 || Multiple Objective Linear Programming and the Tradeoff — Compromise Set

✍ Scribed by Fandel, Günter; Gal, Tomas


Book ID
120504923
Publisher
Springer Berlin Heidelberg
Year
1980
Tongue
German
Weight
886 KB
Category
Article
ISBN
3642487823

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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.


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This Book Gives The Reader An Insight Into The State Of The Art In The Field Of Multiobjective (linear, Nonlinear And Combinatorial) Programming, Goal Programming And Multiobjective Metaheuristics. The 26 Papers Describe All Relevant Trends In This Fields Of Research . They Cover A Wide Range Of Top