Multiple criteria decision making : theory and application : proceedings of the third conference, Hagen/Königswinter, West Germany, August 20-24, 1979
Author(s)
Bibliographic Information
Multiple criteria decision making : theory and application : proceedings of the third conference, Hagen/Königswinter, West Germany, August 20-24, 1979
(Lecture notes in economics and mathematical systems, 177)
Springer-Verlag, 1980
- : gw
- : us
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Note
Includes bibliographies and index
Description and Table of Contents
Description
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.
Table of Contents
"Characterization of Pareto and Lexicographic Optimal Solutions".- "Duality Based Characterizations of Efficient Facets".- "Sensitivity Analysis in Multiple Objective Linear Programming: Changes in the Objective Function Matrix".- "Exhaustible Resources and a Leontief Model of Production with Scarce Energy".- "Multicriteria Decision Models with Specified Goal Levels".- "Multiple Objective Linear Programming and the Tradeoff - Compromise Set".- "A Note on Size Reduction of the Objective Functions Matrix in Vector Maximum Problems".- "The Surrogate Worth Trade-Off (SWT) Method and its Extensions".- "Bicriterion Path Problems".- "The Haar Condition in Vector Optimization".- "A Comparative Evaluation of Conjoint Measurement and Goal Programming as Aids in Decision Making for Marine Environmental Protection".- "An Experiment with Some Algorithms for Multiple Criteria Decision Making".- "How to Order three Hypotheses According to their Plausibility".- "A Bargaining Model for Solving the Multiple Criteria Problem".- "On Computing the Set of all Weakly Efficient Vertices in Multiple Objective Linear Fractional Programming".- "Multiple Goal Operations Management Planning and Decision Making in a Quality Control Department".- "A Multiple Criteria Analysis Model for Academic Policies, Priorities, and Budgetary Constraints".- "Flexibility and Rigidity in Multicriterion Linear Programming".- "Subjective Programming in Multi-Criterion Decision Making".- "Linear Regression Using Multiple-Criteria".- "Interactive Multiple Goal Programming: an Evaluation and Some Results".- "Psychological Factors in Decision Making: New Decision Models".- "Using Preference Information in Multistep Methods for Solving Multiple Criteria Decision Problems".- "Manpower Allocation with Multiple Objectives - The Min Max Approach".- "Multicriteria Decision-Aid-Making in Production-Management Problems".- "The Use of Local-Global Mapping Techniques in Analysing Multi Criteria Decision Making".- "A Satisfying Aggregation of Objectives by Duality".- "Interactive Algorithm for Multiobjective Optimization".- "Ranking of Multiattribute Alternatives with an Application to Coal Power Plant Siting".- "Efficient Stopping of a Random Series of Partially Ordered Points".- "An Interactive Branch and Bound Procedure for Multicriterion Integer Linear Programming".- "The Use of Reference Objectives in Multiobjective Optimization".- "Multiperiod Portfolio Selection and Capital Asset Pricing".- "BehaviorBases and Habitual Domains of Human Decision/ Behavior - Concepts and Applications".- "Methods for Solving Management Problems Involving Multiple Objectives".- Conference Program.- List of Participants.
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