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Handling The Multiplicity of Solutions in a Moea Based Pda-Theseus Framework for Multi-Criteria Sorting

Covantes E., Fernández E., Navarro J.

Foundations of Computing and Decision Sciences

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2016

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Vol. 41, No. 4

213--235

EN

This paper proposes the combination of the THESEUS multi-criteria sorting method with an evolutionary optimization-based preference-disaggregation analysis. The main features of the combined method are studied by performing an extensive computer experiment that explores many models of preferences and sizes of problems as well as different degrees of decision-maker involvement. As a result of the experiment, the effectiveness of the combined framework and the importance of the decision-maker’s involvement are characterized.

2

Automatic Enhancement of the Reference Set for Multi-Criteria Sorting in The Frame of Theseus Method

Fernandez E., Navarro J., Salomon E.

Foundations of Computing and Decision Sciences

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2014

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Vol. 39, No. 2

57--77

EN

Some recent works have established the importance of handling abundant reference information in multi-criteria sorting problems. More valid information allows a better characterization of the agent’s assignment policy, which can lead to an improved decision support. However, sometimes information for enhancing the reference set may be not available, or may be too expensive. This paper explores an automatic mode of enhancing the reference set in the framework of the THESEUS multi-criteria sorting method. Some performance measures are defined in order to test results of the enhancement. Several theoretical arguments and practical experiments are provided here, supporting a basic advantage of the automatic enhancement: a reduction of the vagueness measure that improves the THESEUS accuracy, without additional efforts from the decision agent. The experiments suggest that the errors coming from inadequate automatic assignments can be kept at a manageable level.

3

Evolutionary multi-objective optimization for inferring outranking model’s parameters under scarce reference information and effects of reinforced preference

Fernandez E., Navarro J., Mazcorro G.

Foundations of Computing and Decision Sciences

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2012

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Vol. 37, No. 3

163--184

EN

Methods based on fuzzy outranking relations constitute one of the main approaches to multiple criteria decision problems. The use of ELECTRE methods require the elicitation of a large number of parameters (weights and different thresholds) but direct eliciting is often a demanding task for the decision-maker (DM). For handling intensity-of-preference effects on concordance levels, a generalized concordance model was proposed by Roy and Slowinski which is more complex than previous outranking models. In this paper, an evolutionary multi-objective-based indirect elicitation of the complete ELECTRE III model-parameter set is proposed. The evolutionary multi-objective inference method is successfully extended to inferring reinforced-preference model parameters. Wide experimental evidence is provided to support the proposal, which performs well even working on small size reference sets.

4

Computer-based decision models for R&D project selection in public organizations

Fernandez E., Navarro J.

Foundations of Computing and Decision Sciences

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2005

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Vol. 30, No. 2

103-131

EN

Project selection is the most important problem concerning R&D management in public organizations, where weak heuristics are used for evaluating projects and making decisions about final portfolios. We propose here an integrated approach for analyzing projects and solving portfolio problems whose central parts are the use of decision tables as models of decision-maker's preferences and beliefs, and a mode! of R&D portfolio quality derived from Utility Theory and based on fuzzy sets to model some sources of imprecision. The resulting optimization problem is very complex in order to be solved by classical mathematical programming methods, so we propose an evolutionary algorithm able to achieve a strong improvement of the quality of solution. Some results are applicable in other problems outside the scope of this paper.