Non-commutative Product Logic and Probability of Fuzzy Events
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 . The investigation of this logical system is an open problem in Hájek . We also introduce a probabilistic logic based on the non-commutative product logic capable to reason about the probability of fuzzy events.
Keywordsnon-commutative logic product logic fuzzy events
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