Options
Possibility distribution calculus and the arithmetic of fuzzy numbers
Sgarro, Andrea
Franzoi, Laura
2021
Loading...
e-ISSN
2464-8728
Abstract
Based on possibility theory and multi-valued logic and taking inspiration from the seminal work in probability theory by A. N. Kolmogorov, we aim at laying a hopefully equally sound foundation for fuzzy arithmetic. A possibilistic interpretation of fuzzy arithmetic has long been known even without taking it to its full consequences: to achieve this aim, 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 ridden more traditional approaches to fuzzy arithmetic. Both complete and incomplete arithmetic are covered.
Publisher
EUT Edizioni Università di Trieste
Source
Andrea Sgarro, Laura Franzoi, "Possibility distribution calculus and the arithmetic of fuzzy numbers" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.53 (2021)", EUT Edizioni Università di Trieste, Trieste, 2021. pp.
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
File(s)