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[Lecture Notes in Economics and Mathematical Systems] Multiple Criteria Decision Making Theory and Application Volume 177 || A Satisfying Aggregation of Objectives by Duality

✍ Scribed by Fandel, Günter; Gal, Tomas


Book ID
120514315
Publisher
Springer Berlin Heidelberg
Year
1980
Tongue
German
Weight
654 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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✍ Fandel, Günter; Gal, Tomas 📂 Article 📅 1980 🏛 Springer Berlin Heidelberg 🌐 German ⚖ 886 KB

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This Collection Of Articles Aspires To Be A Permanent Record Of Ideas Which Are Likely To Become Important Determinants In The Future Of Management Sciences. These Papers Were Initially Presented At The First Session On Multiple Criteria Decision Making Qmcdm) Organized Under The Auspices Of The Ins