Dear friends,
this Friday we have a talk on Interval Computations gently given by
Prof. Weldon Lodwick (University of Colorado-Denver)
Everybody is welcome. Please disclose it!
Regivan
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Title: Interval Valued Probability Measures as a Unifying Theory for Optimization
Under Generalized Uncertainty.
Speaker: Weldon A. Lodwick
Professor Visitante, UNIFESP, São José dos Campos,
São Paulo, Instituto de Ciências e Tecnologia Departamento de Matemática and University of Colorado (Denver), Mathematics Department.
Schedule: 30/08 16:00
Room: LabEnsino-Dimap-UFRN.
Abstract: This talk uses a new formal definition of interval valued probability
measure (IVPM) based on a measure theoretic foundation and shows that
generalized uncertainty data occurring in optimization models, in
particular, possibilistic optimization, can be formulated in the IVPM framework. We
will first develop interval-valued probability measure theory and then look at how it
is used in optimization. If there is time, we will present interval-valued probability
measure integration theory.
Since generalized uncertainty is defined by a set of distributions bounded above
and below by two distributions, a representation that uses a parameterized
combination of upper and lower bounding functions, called constraint interval
functions, is used to carry out the possibilistic optimization.
* This is joint work with Dr. K. David Jamison and completed by the presenter while a
visiting professor at UNIFESP.
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Prof. Dr. Regivan Hugo Nunes SantiagoGroup for Logic, Language, Information, Theory and Applications - LoLITA
Department of Informatics and Applied Mathematics - DIMAp
Federal University of Rio Grande do Norte - UFRN
Avenida Senador Salgado Filho, 3000,
Campus Universitario, Lagoa Nova, 59.078-970, Natal, RN, Brasil