Conjunction of Conditional Events and t-Norms

Giuseppe Sanfilippo; Angelo Gilio

Conjunction of Conditional Events and t-Norms

Giuseppe Sanfilippo, Angelo Gilio

Matematica e Informatica

Risultato della ricerca: Conference contribution

2 Citazioni (Scopus)

Abstract

We study the relationship between a notion of conjunction among conditional events, introducedin recent papers, and the notion of Frank t-norm. By examining different cases, in the setting of coherence, we show each time that the conjunction coincides with a suitable Frank t-norm. In particular, the conjunction may coincide with the Product t-norm, the Minimum t-norm, and Lukasiewicz t-norm.We show by a counterexample, that the prevision assessments obtained by Lukasiewicz t-norm may be not coherent. Then, we give some conditions of coherence when using Lukasiewicz t-norm

Lingua originale	English
Titolo della pubblicazione ospite	Symbolic and Quantitative Approaches to Reasoning with Uncertainty 15th European Conference, ECSQARU 2019 Belgrade, Serbia, September 18–20, 2019 Proceedings
Pagine	199-211
Numero di pagine	13
Stato di pubblicazione	Published - 2019

Serie di pubblicazioni

Nome	LECTURE NOTES IN ARTIFICIAL INTELLIGENCE

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All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Computer Science(all)

Cita questo

Sanfilippo, G., & Gilio, A. (2019). Conjunction of Conditional Events and t-Norms. In Symbolic and Quantitative Approaches to Reasoning with Uncertainty 15th European Conference, ECSQARU 2019 Belgrade, Serbia, September 18–20, 2019 Proceedings (pagg. 199-211). (LECTURE NOTES IN ARTIFICIAL INTELLIGENCE).

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AU - Gilio, Angelo

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AB - We study the relationship between a notion of conjunction among conditional events, introducedin recent papers, and the notion of Frank t-norm. By examining different cases, in the setting of coherence, we show each time that the conjunction coincides with a suitable Frank t-norm. In particular, the conjunction may coincide with the Product t-norm, the Minimum t-norm, and Lukasiewicz t-norm.We show by a counterexample, that the prevision assessments obtained by Lukasiewicz t-norm may be not coherent. Then, we give some conditions of coherence when using Lukasiewicz t-norm

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BT - Symbolic and Quantitative Approaches to Reasoning with Uncertainty 15th European Conference, ECSQARU 2019 Belgrade, Serbia, September 18–20, 2019 Proceedings

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