Algebraic Hyperstructures and Fuzzy Logic in the Treatment of Uncertainty

Antonio Maturo, Annamaria Porreca


This study presents some fundamental aspects of recent theories  on algebraic Hyperstructures, an important tool for an interdisciplinary vision of Geometry and Algebra. We examine some hypergroupoids of events, useful for a new algebraic-geometry perspective in the study and issues of probability applications. This paper considers some fundamental aspects of fuzzy classifications and their applications to problems of evaluation and decision in Architecture and Economics. Finally, we present hypergroups and join space associated with these classifications.


Iperstrutture algebriche e logica fuzzy nel trattamento dell’incertezza

Si presentano alcuni aspetti fondamentali della relativamente recente teoria delle iperstrutture algebriche, importante strumento per una visione interdisciplinare di Geometria e Algebra. Si esaminano alcuni ipergruppoidi di eventi, utili per un nuovo punto di vista algebrico - geometrico nello studio e nelle applicazioni di alcune questioni di probabilità. Si considerano alcuni aspetti fondamentali delle classificazioni fuzzy e le loro applicazioni a problemi di valutazione e decisione in Architettura e in Economia. Si presentano infine ipergruppi e join space associati a tali classificazioni.

Parole Chiave: Iperstrutture algebriche. Logica fuzzy. Applicazioni a Architettura e Economia.


Algebraic Hyperstructures, Fuzzy logic, Applications for Architecture and Economics.

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