B2128 - STATISTICAL MODELS FOR (FUZZY) SET-VALUED DATA

Academic Year 2023/2024

  • Teaching Mode: Traditional lectures
  • Campus: Bologna
  • Corso: Second cycle degree programme (LM) in Statistical Sciences (cod. 9222)

Learning outcomes

By the end of the course the student learns the advanced methods and the operational tools for the analysis of (fuzzy) set-valued data. The student is able to face the theoretical problems of analysing statistical properties within these kind of data and their application to social sciences

Course contents

The Concept of Fuzziness

Interval data: structures and statistics

Generalizations of interval data

Fuzzy Sets valued data

Fuzzy sets algebra

Mathematical modeling

Fuzzy clustering

F-Transform

Readings/Bibliography

Vilém Novák, Irina Perfilieva, Insight into Fuzzy Modeling, 2016 John Wiley & Sons.

Renato Coppi, Maria A. Gil, Henk A.L. Kiersc, The fuzzy approach to statistical analysis, Computational Statistics & Data Analysis 51 (2006) 1–14

Teaching methods

After 10 hours of frontal lectures, the method changes in flipped classroom and students are invited to collaborate in team and present the analysis of a statistical application to real world data or phenomenon.

Assessment methods

The exam is based on the discussion of a scientific paper agreed with the teacher where an application is explained.

Teaching tools

Several packages for fuzzy calculus are available in R and MatLab libraries.

Office hours

See the website of Maria Letizia Guerra

SDGs

Quality education

This teaching activity contributes to the achievement of the Sustainable Development Goals of the UN 2030 Agenda.