Concentramos nossos estudos em três grandes áreas: Pesquisa Operacional, Tomada de Decisão e Inteligência Computacional.

- métodos de programação matemática
- planejamento de experimentos, análise de sensibilidade e modelos funcionalmente orientados
- modelagem matemática de sistemas e processos
- tomada de decisão multicritério (individual e em grupo)
- esquemas de consenso
- otimização multiobjetivo
- consideração do fator de incerteza e sua superação
- controle
*fuzzy*e sistemas especialistas - aprendizagem estatística, redes neurais,
*data mining*

P. Ekel, W. Pedrycz and J. Pereira Jr.,
*Multicriteria Decision–Making Under Conditions of Uncertainty: A Fuzzy Set Perspective, *New York/Chichester/Brisbane, John Wiley & Sons, 2020

F. D. Ramalho, P. Ya. Ekel, W. Pedrycz, J. G. Pereira Jr., and G. L. Soares,
"Multicriteria decision making under conditions of uncertainty in application to multiobjective allocation of resources,"
*Information Fusion, in press, *2019

P. Ya. Ekel, A. C. Lisboa, J. G. Pereira Jr., D. A. G. Vieira, L. M. L. Silva, and M. F. S. V. D‘Angelo,
"Two-stage multicriteria georeferenced express analysis of new electric transmission line projects,"
*International Journal of Electric Power and Energy Systems, *108, pp. 415-431, 2019

M. P. Liborio, T. M. Machado-Coelho, P. Bernardes, A. M. C. Machado, P. Ekel, and G. L. Soares,
"Forecasting Internet Demand Based in Open Data - a Case Study in Brazil,"
*IEEE Access, *6, pp. 1-7, 2018

V. O. Silva, P. Ya. Ekel, and C. A. P. S. Martins,
"An efficient parallel implementation of an optimized simplex method in GPU-CUDA,"
*IEEE Latin America Transactions, *16, pp. 564-573, 2018

T. M. Machado-Coelho, A. M. C. Machado, L. Jaulin, P. Ekel, W. Pedrycz, and G. L. Soares,
"An interval space reducing method for constrained problems with particle swarm optimization,"
*Applied Soft Computing, *23, pp. 405-417, 2017

W. H. Saldanha, G. L. Soares, T. M. Machado-Coelho, E. D. Santos, and P. Ekel,
"Choosing the best evolutionary algorithm to optimize the multiobjective shell-and-tube heat exchanger design problem using PROMETHEE,"
*Applied Thermal Engineering, *127, pp. 1049-1061, 2017

P. Ekel, I. Kokshenev, R. Parreiras, W. Pedrycz, and J. Pereira Jr.,
"Multiobjective and multiattribute decision making in a fuzzy environment and their power engineering applications,"
*Information Sciences, *361-362, pp. 100-119, 2016

J. G. Pereira, P. Ya. Ekel, R. M. Palhares, and R. O. Parreiras,
"On multicriteria decision making under conditions of uncertainty,"
*Information Sciences, *324, pp. 44-59, 2015

I. Kokshenev, R. Parreiras, P. Ya. Ekel, G. B. Alves, and S. V. Menicucci,
"A Web-based Decision Support Center for Electrical Energy Companies,"
*IEEE Transactions on Fuzzy Systems, *23, pp. 16-28, 2015

P. Ekel, M. Junges, I. Kokshenev, and R. Parreiras,
"Sensitivity and functionally oriented models for power system planning, operation, and control,"
*International Journal of Electric Power and Energy Systems, *45, pp. 2846-2868, 2013

R. Parreiras, P. Ekel, and F. Bernandes Jr.,
"A dynamic consensus scheme based on a nonreciprocal fuzzy preference relation modeling,"
*Information Sciences, *211, pp. 1-17, 2012

R.O. Parreiras, P.Ya. Ekel, and D.C. Morais,
"Fuzzy set based consensus schemes for multicriteria group decision making applied to strategic planning,"
*Group Decision and Negotiation, *21, pp. 153-183, 2012

W. Pedrycz, P. Ekel, and R. Parreiras,
*Fuzzy Multicriteria Decision-Making: Models, Methods, and Applications, *New York/Chichester/Brisbane, John Wiley & Sons, 2011

P. Ekel, I. Kokshenev, R. Palhares, R. Parreiras, F. Schuffner Neto,
"Multicriteria analysis based on constructing payoff matrices and applying methods of decision making in fuzzy environment,"
*Optimization and Engineering, *12, pp. 5-29, 2011

R. C. Berredo, P. Ya. Ekel, J. S. C. Martini, R. M. Palhares, R. O. Parreiras, and J. G. Pereira Jr.,
"Decision making in fuzzy environment and multicriteria power engineering problems,"
*International Journal of Electric Power and Energy Systems, *33, pp. 623-632, 2011

P. Ya. Ekel, J. S. C. Martini, and R. M. Palhares,
"Multicriteria analysis in decision making under information uncertainty,"
*Applied Mathematics and Computation, *200, pp. 501-516, 2008

P. Ya. Ekel, M. Menezes, and F. Schuffner Neto,
"Decision making in fuzzy environment and its application to power engineering problems,"
*Nonlinear Analysis: Hybrid Systems, *1, pp. 527-536, 2007

L. Canha, P. Ekel, J. Queiroz, and F. Schuffner Neto,
"Models and methods of decision making in fuzzy environment and their applications to power engineering problems,"
*Numerical Linear Algebra with Applications, *14, pp. 369-390, 2007

P.Ya. Ekel and F.H. Schuffner Neto,
"Algorithms of discrete optimization and their application to problems with fuzzy coefficients,"
*Information Sciences, *176, pp. 2846-2868, 2006

P. Ya. Ekel, C. A. P. S. Martins, J. G. Pereira Jr., R. M. Palhares, and L. N. Canha,
"Fuzzy set based multiobjective allocation of resources and its applications,"
*Computers and Mathematics with Applications, *52, pp. 197-210, 2006

E. A. Galperin and P. Ya. Ekel,
"Synthetic realization approach to fuzzy global optimization via gamma algorithm,"
*Mathematical and Computer Modelling, *41, pp. 1457-1468, 2005

R. C. Berredo, P. Ya. Ekel, and R. M. Palhares,
"Fuzzy preference relations in models of decision making,"
*Nonlinear Analysis: Theory, Methods and Applications, *63, pp. 735-741, 2005

P. Ya. Ekel and E. A. Galperin,
"Box-triangular multiobjective linear programs for resource allocation with application to load management and energy market problems,"
*Mathematical and Computer Modelling, *37, pp. 1-17, 2003

P. Ekel, R. Palhares, W. Araujo, M. Silva, V. Popov, A. Bondarenko, and V. Tkachenko,
"Generalized algorithms of discrete optimization and their applications,"
*International Journal of Computer Research, *12, pp. 131-140, 2003

P.Ya. Ekel,
"Fuzzy sets and models of decision making,"
*Computers & Mathematics with Applications, *44, pp. 863-875, 2002

P. Ya. Ekel,
"Methods of decision making in fuzzy environment and their applications,"
*Nonlinear Analysis: Theory, Methods and Applications, *47, pp. 979-990, 2001

P. Ekel, W. Pedrycz, and R. Schinzinger,
"A general approach to solving a wide class of fuzzy optimization problems,"
*Fuzzy Sets and Systems, *97, pp. 49-66, 1998