Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/33305
Title: Possibility distribution calculus and the arithmetic of fuzzy numbers
Authors: Sgarro, Andrea 
Franzoi, Laura
Keywords: fuzzy arithmeticfuzzy numberspossibility theoryinteractivity
Issue Date: 2021
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.
Journal: Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics 
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.
Type: Article
URI: http://hdl.handle.net/10077/33305
ISSN: 0049-4704
eISSN: 2464-8728
DOI: 10.13137/2464-8728/33305
Rights: Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
Appears in Collections:Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.53 (2021)

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