Multiple-Criteria Decision Making : Concepts, Techniques, and Extensions / by Po-Lung Yu
(Mathematical Concepts and Methods in Science and Engineering ; 30)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | Boston, MA : Springer US |
| 出版年 | 1985 |
| 本文言語 | 英語 |
| 大きさ | 402 p : online resource |
書誌詳細を非表示
| 内容注記 | 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 |
|---|---|
| 一般注記 | This book is an outgrowth of formal graduate courses in multiple-criteria decision making (MCDM) that the author has taught at the University of Rochester, University of Texas at Austin, and University of Kansas since 1972. The purpose is, on one hand, to offer the reader an integral and systematic view of various concepts and techniques in MCDM at an "introductory" level, and, on the other hand, to provide a basic conception of the human decision mechanism, which may improve our ability to apply the techniques we have learned and may broaden our llJ.ind for modeling human decision making. The book is written with a goal in mind that the reader should be able to assimilate and benefit from most of the concepts in the book if he has the mathematical maturity equivalent to a course in operations research or optimiz ation theory. Good training in linear and nonlinear programming is sufficient to digest, perhaps easily, most of the concepts in the book |
| 著者標目 | *Yu, Po-Lung author SpringerLink (Online service) |
| 件 名 | LCSH:Computer science LCSH:Computer organization FREE:Computer Science FREE:Computer Science, general FREE:Computer Systems Organization and Communication Networks |
| 分 類 | DC23:004 |
| 巻冊次 | ISBN:9781468483956 
|
| ISBN | 9781468483956 |
| URL | http://dx.doi.org/10.1007/978-1-4684-8395-6 |
目次／あらすじ