Multiobjective Decision Making: Theory and MethodologyThis first-rate text explores the theory and methodology of systems engineering in evaluating alternative courses of action and associated decision-making policies. It treats criteria as multidimensional, rather than scalar, in the development of normative theories. These contribute to a behavioral theory of decision making and provide guidance for exercising judgment. An introductory discussion of the systemic approach to judgment and decision is followed by explorations of psychological value measurements, utility, classical decision analysis, and vector optimization theory. The second section chiefly deals with methods of assessing and evaluating alternatives, including both noninteractive and interactive methods. A taxonomy and a comparative evaluation of methods conclude the text. |
Contents
Elements of Multiobjective Decision Problems | 3 |
Selected Background Topics | 25 |
Utility Theory | 62 |
Vector Optimization Theory | 113 |
for Noninferiority | 137 |
Assessment Methodologies | 179 |
Methods for Generating Noninferior Solutions | 221 |
Noninteractive and Interactive Multiobjective | 291 |
The Surrogate Worth Tradeoff Method | 351 |
Comparative Evaluation and Comments | 383 |
Appendix Tradeoff Interpretation in the Minimax | 391 |
| 397 | |
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Common terms and phrases
a₁ algorithm analysis apply assume attributes basic feasible solution basic variables Bernoulli's principle best-compromise solution Chapter constraint construct convex set convexity assumption corresponding decision maker decision maker's preference decision rule decision tree decision variables decision-making defined discussed example exists expected utility f₁ f₂ Figure Fishburn given goal programming Haimes Hence implies indifference curve interactive Keeney linear problems linear programming mathematical matrix maximal noninferior face measurement multiobjective decision problem multiobjective optimization multiple objective nonbasic columns noninferior extreme points noninferior solutions objective functions obtained optimal solution optimization problem outranking relation P₁ payoff Pr(e preference structure preferentially independent risky prospect satisfied scale Section set of alternatives set of noninferior solution of P(w solution of VOP solves P(w step subset sufficient conditions techniques Theorem tion trade-off rate utility function utility independence utility theory value function w₁ w₂ weak-difference independent X₁ y₁ Zeleny