Abstract
In this paper we develop the non-commutative product logic psΠL as the non-commutative analogue of the product logic ΠL introduced by Hájek, Godo and Esteva [10]. The investigation of this logical system is an open problem in Hájek [9]. We also introduce a probabilistic logic based on the non-commutative product logic capable to reason about the probability of fuzzy events.
Keywords
- non-commutative logic
- product logic
- fuzzy events
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© 2012 Springer-Verlag Berlin Heidelberg
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Diaconescu, D. (2012). Non-commutative Product Logic and Probability of Fuzzy Events. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances in Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31715-6_22
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DOI: https://doi.org/10.1007/978-3-642-31715-6_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31714-9
Online ISBN: 978-3-642-31715-6
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