Multiple-Criteria Decision Making: Concepts, Techniques, and Extensions: Mathematical Concepts and Methods in Science and Engineering, cartea 30
Autor Po-Lung Yuen Limba Engleză Paperback – 25 apr 2012
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Specificații
ISBN-13: 9781468483970
ISBN-10: 1468483978
Pagini: 404
Ilustrații: 402 p.
Dimensiuni: 152 x 229 x 21 mm
Greutate: 0.54 kg
Ediția:Softcover reprint of the original 1st ed. 1985
Editura: Springer Us
Colecția Springer
Seria Mathematical Concepts and Methods in Science and Engineering
Locul publicării:New York, NY, United States
ISBN-10: 1468483978
Pagini: 404
Ilustrații: 402 p.
Dimensiuni: 152 x 229 x 21 mm
Greutate: 0.54 kg
Ediția:Softcover reprint of the original 1st ed. 1985
Editura: Springer Us
Colecția Springer
Seria Mathematical Concepts and Methods in Science and Engineering
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
1. Introduction.- 1.1. The Needs and Basic Elements.- 1.2. An Overview of the Book.- 1.3. Notation.- 2. Binary Relations.- 2.1. Preference as a Binary Relation.- 2.2. Characteristics of Preferences.- 2.3. Optimality Condition.- 2.4. Further Comments.- Exercises.- 3. Pareto Optimal or Efficient Solutions.- 3.1. Introduction.- 3.2. General Properties of Pareto Optimal Solutions.- 3.3. Conditions for Pareto Optimality in the Outcome Space.- 3.4. Conditions for Pareto Optimality in the Decision Space.- 3.5. Further Comments.- 3.6. Appendix: Generalized Gordon Theorem.- 3.7. Appendix: Optimality Conditions.- Exercises.- 4. Goal Setting and Compromise Solutions.- 4.1. Introduction.- 4.2. Satisficing Solutions.- 4.3. Compromise Solutions.- 4.4. Further Comments.- Exercises.- 5. Value Function.- 5.1. Revealed Preference from a Value Function.- 5.2. Conditions for Value Functions to Exist.- 5.3. Additive and Monotonic Value Functions and Preference Separability.- 5.4. Further Comments.- Exercises.- 6. Some Basic Techniques for Constructing Value Functions.- 6.1. Constructing General Value Functions.- 6.2. Constructing Additive Value Functions.- 6.3. Approximation Method.- 6.4. Further Comments.- 6.5. Appendix: Perron-Frobenius Theorem.- Exercises.- 7. Domination Structures and Nondominated Solutions.- 7.1. Introduction.- 7.2. Domination Structures.- 7.3. Constant Dominated Cone Structures.- 7.4. Local and Global N-Points in Domination Structures.- 7.5. Interactive Approximations for N-Points with Information from Domination Structures.- 7.6. Further Comments.- 7.7. Appendix: A Constructive Proof of Theorem 7.3.- Exercises.- 8. Linear Cases, MC- and MC2-Simplex Methods.- 8.1. N-Points in the Linear Case.- 8.2. MC-Simplex Method and Nex-Points.- 8.3. Generating the Set N from Nex-Points.- 8.4. MC2-Simplex Method and Potential Solutions in Linear Systems.- 8.5. Further Comments.- 8.6. Appendix: Proof of Lemma 8.2.- Exercises.- 9. Behavioral Bases and Habitual Domains of Decision Making.- 9.1. Introduction.- 9.2. Behavioral Bases for Decision Making.- 9.3. Habitual Domains.- 9.4. Some Observations in Social Psychology.- 9.5. Some Applications.- 9.6. Further Comments.- 9.7. Appendix: Existence of Stable Habitual Domains.- Exercises.- 10. Further Topics.- 10.1. Interactive Methods for Maximizing Preference Value Functions.- 10.2. Preference over Uncertain Outcomes.- 10.3. Multicriteria Dynamic Optimization Problems.- 10.4. Second-Order Games.- Exercises.