Fuzzy analysis has emerged as sound tool for performing uncertainty analysis in engineering. One of the key advantages of fuzzy analysis when compared with its more traditional probabilistic counterpart is that it can be applied even when data is scarce or vague. Therefore, fuzzy analysis has become a valuable tool for uncertainty quantification, sensitivity analysis and decision making for practical engineering problems.

Content

This laboratory provides basic tools for modelling and quantifying uncertainty using a fuzzy approach. The focus is on two central aspects, namely:

• Conveying the basic aspects of fuzzy analysis, including uncertainty characterization through fuzzy sets and uncertainty propagation through numerical methods.
• Practical numerical and computational implementation using appropriate software tools.

Special sessions are organized during the semester to cover these two central aspects.

Students should put into practice fuzzy analysis by developing a project which involves a practical problem of their choice. This project should be developed throughout the semester and presented in oral and written form.

Competences

Upon successful completion of this lab, students will be able to analyse a practical engineering problem using the tools of fuzzy analysis.

Examination

The course examination consists of (1) a written report of the project work and (2) an oral defence of the project results in which the student's knowledge of the course content is evaluated.