Generalized uncertainty applied to optimization

• Grant number: 11/13985-0
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: January 15, 2012
• End date: January 14, 2013
• Field of knowledge: Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
• Principal Investigator: Geraldo Nunes Silva
• Grantee: Geraldo Nunes Silva
• Visiting researcher: Weldon A. Lodwick
• Visiting researcher institution: University of Colorado, Denver (CU), United States
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil

Abstract

For the computational component of dynamical systems we wish to implement advanced algorithms based on fuzzy logic combined with differential equations so that real-time differential constraints can be obtained which will be important for Dengue fever response. Computational Methods for Control: We plan to develop algorithms to solve optimal control problems under generalized uncertainty. We begin by extending the work of Lodwick (1980) and then employ evolutionary algorithms such as Gen D. If we are successful, it will enable us to use our methods with realistic real-time data associated with our application. As regards Computational Methods for Generalized Uncertainty Optimization models, as above, we plan to look at the work of Buscena (2004) and develop a class of evolutionary algorithm based on participatory learning and selective transfer to solve static and dynamic uncertain optimization models. (AU)

Scientific publications

(9)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CHALCO-CANO, YURILEV; DE OLIVEIRA, VALERIANO A.; SILVA, GERALDO N.. Description of the Attainable Sets of One-Dimensional Differential Inclusions. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, v. 164, n. 1, p. 138-153, JAN 2015. (13/07375-0, 11/01977-2, 11/13985-0)

LODWICK, WELDON A.; JENKINS, OSCAR A.. Constrained intervals and interval spaces. SOFT COMPUTING, v. 17, n. 8, p. 10-pg., 2013-08-01. (11/13985-0)

CHALCO-CANO, Y.; LODWICK, W. A.; BEDE, B.. Single level constraint interval arithmetic. FUZZY SETS AND SYSTEMS, v. 257, p. 23-pg., 2014-12-16. (11/13985-0)

CHALCO-CANO, Y.; LODWICK, W. A.; BEDE, B.. Single level constraint interval arithmetic. FUZZY SETS AND SYSTEMS, v. 257, n. SI, p. 146-168, DEC 16 2014. (11/13985-0)

LODWICK, WELDON A.. An overview of flexibility and generalized uncertainty in optimization. COMPUTATIONAL & APPLIED MATHEMATICS, v. 31, n. 3, p. 569-589, 2012. (11/13985-0)

LODWICK, WELDON A.; JENKINS, OSCAR A.. Constrained intervals and interval spaces. SOFT COMPUTING, v. 17, n. 8, SI, p. 1393-1402, AUG 2013. (11/13985-0)

THIPWIWATPOTJANA, PHANTIPA; LODWICK, WELDON A.. A relationship between probability interval and random sets and its application to linear optimization with uncertainties. FUZZY SETS AND SYSTEMS, v. 231, p. 45-57, NOV 16 2013. (11/13985-0)

CHALCO-CANO, Y.; LODWICK, W. A.; RUFIAN-LIZANA, A.. Optimality conditions of type KKT for optimization problem with interval-valued objective function via generalized derivative. Fuzzy Optimization and Decision Making, v. 12, n. 3, p. 305-322, SEP 2013. (11/13985-0)

LODWICK, WELDON A.. An overview of flexibility and generalized uncertainty in optimization. COMPUTATIONAL & APPLIED MATHEMATICS, v. 31, n. 3, p. 21-pg., 2012-01-01. (11/13985-0)