The National University Research Council - PN II
IDEI Programme, Contract No.: 844/2008; NURC code: ID_1778

MULTICRITERIA DECISION MAKING MODELING UNDER UNCERTAINTY WITH APPLICATIONS IN PORTFOLIO MANAGEMENT

 

 

 


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Principal investigator: Assoc. Prof. Dr. Cristinca FULGA

Research team: C. Fulga, A. Agapie, R. Ciumara, S. Dedu, C.C. Popescu

Duration: 2009-2011

Acronym: DeMaMod

Presentation of the project

The aim of the project is the decision making modeling under uncertainty by combining multicriteria optimization techniques, dynamic and stochastic optimization techniques, as well as the development of efficient algorithms, adequate to the specific characteristics of this type of problems. The models and the algorithms developed can be used to solve problems concerning economic area. In this project they are applied to portfolio optimization.

Four research directions are taken into account.

The first direction consists in determining the characteristics of the multicriteria problem objective functions. The use of the utility functions with generalized convexity properties and new risk measures are proposed, in order to characterize the attitude towards risk of the decision maker.

The second direction consists in modeling and developing algorithms for multicriteria decision making. The situation in which the problem can be decomposed into subproblems will be analyzed and new specific algorithms using evolutionary algorithms will be developed. This model will be applied to economic problems with multiple decision factors, which take decisions as a consequence of their own informations and whose decisions must be coordinated such as, acting separately, they generate general optimal solutions.

The third direction regards dynamic decision making modeling. Models based on approximate dynamic programming techniques combined with evolutionary algorithms are developed. These models provide solutions to the dynamic resource allocation problems, such as: dividing the budget for the productivity activities, portfolio management, planning the new energetic resources.

The fourth direction regards the correlation of the obtained results and their application in dynamic portfolio optimization. In the same time, a relevant database for the construction of realistic scenarios will be developed and will be used to validate the developed algorithms.