The Sensitivity Analysis of “Inexact” Multicriteria Decisions

Robinson, Mitchell S.; Soland, Richard M.

doi:10.1007/978-3-642-59132-7_21

Cited by 2 publications

References 4 publications

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Nonlinear Multiobjective Programming

Engau

2011

Wiley Encyclopedia of Operations Research and Management Science

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This introductory treatment of the theory and methodology of nonlinear multiobjective programming offers an annotated bibliographic overview of various concepts and approaches to solve continuous deterministic multicriteria optimization problems. First, the notions of Pareto optimality, efficiency, and nondominance are discussed and then related to approximate, epsilon, and proper efficiency. Second, after highlighting similarities and pointing out differences to first‐ and second‐order optimality conditions in classical nonlinear programming, several other topics including duality and sensitivity are also mentioned. Third, a number of solution approaches and generating methods are described with a particular focus on scalarizations using objective aggregation, prioritization, and norm or distance minimization to some utopian reference point.

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Nonlinear Multiobjective Programming

Engau

2011

Wiley Encyclopedia of Operations Research and Management Science

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Additive aggregation with variable interdependent parameters: the VIP analysis software

Dias

Clímaco

2000

Journal of the Operational Research Society

104

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We consider the aggregation of multicriteria performances by means of an additive value function under imprecise information. The problem addressed here is the way an analysis may be conducted when the decision makers are not able to (or do not wish to) fix precise values for the importance parameters. These parameters can be seen as interdependent variables that may take several values subject to constraints. First, we briefly classify some existing approaches to deal with this problem. We will argue that they complement each other, each one having its merits and shortcomings. Then, we present a new decision support software-VIP Analysis-which incorporates approaches belonging to different classes. It proposes a methodology of analysis based on the progressive reduction of the number of alternatives, introducing a concept of tolerance that lets the decision makers use some of the approaches in a more flexible manner.

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The Sensitivity Analysis of “Inexact” Multicriteria Decisions

Cited by 2 publications

References 4 publications

Nonlinear Multiobjective Programming

Nonlinear Multiobjective Programming

Additive aggregation with variable interdependent parameters: the VIP analysis software

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