The fascinating world of transitivity
- 2024-08-05 (Mon.), 10:30 AM
- Auditorium, B1F, Institute of Statistical Science；The tea reception will be held at 10:10.
- Lecture in English. Online live streaming through Cisco Webex will be available.
- Prof. Bernard De Baets
- Department of Data Analysis and Mathematical Modelling, Ghent University
Abstract
As a mathematician, I am fascinated with basic mathematical properties of functions and relations thatmay have a measurable impact in real applications. One such property is the transitivity of relations, theprotagonist of my lecture. I will take a cursory glance at this property in various contrasting settings,including but not limited to: crisp versus fuzzy relations, binary versus ternary relations, fuzzy versusreciprocal relations, crisp versus stochastic transitivity. At the same time, I will discuss the role oftransitivity in similarity measurement, preference modelling and aggregation theory, and, conversely, ofaggregation theory in the study of transitivity. Moreover, I will point out some connections withpreference structures, posets, lattices and trellises.
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