Fuzzy sets: motivations and first concepts

Aldo G. S. Ventre


Starting from the Russel’s studies on the limits of the empiricism, some considerations about the concept of vagueness, are recalled in order to stress the motivations and the development of a foundational context for the fuzzy sets. The description of the facts of the physical reality expressed in terms of fuzzy sets draws its origin from the objective of “calculating with words” being vagueness in the facts and in the language representing them. The unique operations that satisfy a system of reasonable requirements are defined. A measure of the degree of fuzziness, the fuzzy entropy, is defined in terms of a functional over the fuzzy sets.


Insiemi fuzzy: motivazioni e primi concetti

Movendo dall’indagine di Russell sui limiti dell’empirismo, sono riprese alcune considerazioni relative al concetto di vaghezza, allo scopo di porre in evidenza le motivazioni e lo sviluppo di un contesto fondazionale degli insiemi fuzzy. La descrizione dei fatti della realtà fisica effettuata in termini di insiemi fuzzy trae origine dall’obiettivo di “calcolare con le parole” in presenza della vaghezza presente nei fatti e nel linguaggio che li rappresenta.

Parole Chiave: vaghezza, insiemi fuzzy, misure di fuzziness


vagueness; fuzzy sets; fuzziness measures

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Science & Philosophy - Journal of Epistemology, Science and Philosophy. ISSN 2282-7757; eISSN  2282-7765.