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Logic Seminar talk: Possibility theory and the arithmetic of fuzzy numbers

Posted on November 6, 2022November 6, 2022 by Andrei SipoČ™

On November 10, 2022 at 14:00 EET, Andrea Sgarro (DMG University of Trieste) will give a talk in the Logic Seminar.

Title: Possibility theory and the arithmetic of fuzzy numbers

Abstract: Taking inspiration from the seminal work in probability theory by A. N. Kolmogorov and H. R. Pitt, we intend to lay a sound foundation for fuzzy arithmetic, which is based on possibility theory beside fuzzy logic. A possibilistic interpretation of fuzzy arithmetic has long been known, however without taking it to its full consequences: in this paper we stress the basic role of the two limit-cases of possibilistic interactivity, namely deterministic equality versus non-interactivity, thus getting rid of weak points which have so far enfeebled more traditional approaches to fuzzy arithmetic.

The talk will take place physically at FMI Hall 214 “Google”.

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