The fascinating world of transitivity
- 2024-08-05 (Mon.), 10:30 AM
- 統計所B1演講廳;茶 會:上午10:10。
- 英文演講,實體與線上視訊同步進行。
- Prof. Bernard De Baets
- KERMIT, 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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