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Pareto Optimal or Efficient Solutions
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Multiple-Criteria Decision Making: Concepts, Techniques, and Extensions
Limited preview - 2013
A-convex additive value function Assume assumption basis behavior Chapter charge structures circuit pattern compromise solution concave concave function concepts contains convex cone convex set corresponding criteria criterion decision maker decision problems defined Definition denoted differentiable domination structures effective constraint eigenvector eigenweight vector elements Example Figure following theorem given goal functions goal programming habitual domains ideal point ideas/actions implies indifference curves information inputs LD(y Lemma lexicographical ordering linear programming locate LP(y matrix maximum point MC-simplex multicriteria N-points Note Observe obtain optimal control optimal solution outcomes Pareto optimal Pareto preference pivot players polyhedral cone potential solution programming problem Proof properties reachable domain reader Remark respect revealed preference satisficing set satisficing solution satisfied self-suggestion solution concept solve subset Suppose Tableau target point Theorem tradeoff uniquely maximizes verify weak order weight Zk(J