Наредни састанак Семинара биће одржан у уторак, 17. октобра 2023, у сали 301ф Математичког института САНУ са почетком у 14.15.
Предавач: Богдана Станојевић, Математички институт САНУ
Наслов предавања: OPTIMIZATION-BASED FUZZY REGRESSION IN FULL COMPLIANCE WITH THE EXTENSION PRINCIPLE
Апстракт: The tools offered by a regression analysis can be used either to identify the correlation of a dependency between the observed inputs and outputs; or to provide a convenient approximation to the output data set, thus enabling its simplified manipulation. In this talk, we present an approach for predicting the outputs of a fuzzy in – fuzzy out system through a fuzzy regression analysis developed in full accordance with the extension principle. Within our approach, a couple of mathematical optimization problems are solved for each desired $\alpha-$level. The optimization models derive the left and right endpoints of the $\alpha-$cut of the predicted fuzzy output, as minimum and maximum of all crisp values that can be obtained as predicted outputs to at least one regression problem with observed crisp data in the $\alpha-$cut ranges of the corresponding fuzzy observed data. Relevant examples from the literature are recalled and used to illustrate the theoretical findings.
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