论文信息 - Inferences in Probability Logic

Inferences in Probability Logic

Abstract We define a particular fuzzy logic, able to manage information that is probabilistic in nature. In this logic the probabilistic theories are suitable fuzzy sets of formulas that turn out to be lower envelopes while only the complete probabilistic theories coincide with the probabilities.

Giangiacomo Gerla | Giangiacomo Gerla

[1] Nils J. Nilsson,et al. Probabilistic Logic * , 2022 .

[2] Giangiacomo Gerla,et al. Decidability, Recursive Enumerability and Kleene Hierarchy For L-Subsets , 1989, Math. Log. Q..

[3] Didier Dubois,et al. Automated Reasoning Using Possibilistic Logic: Semantics, Belief Revision, and Variable Certainty Weights , 1994, IEEE Trans. Knowl. Data Eng..

[4] Giangiacomo Gerla. Fuzzy refutations for probability and multivalued logics , 1994, Int. J. Approx. Reason..

[5] David K. Smith. Theory of Linear and Integer Programming , 1987 .

[6] K. J. Evans. Representing and Reasoning with Probabilistic Knowledge , 1993 .

[7] H. Jerome Keisler,et al. Continuous Model Theory , 1966 .

[8] John M. Vickers,et al. Belief and Probability , 1977 .

[9] Joseph Y. Halpern. An Analysis of First-Order Logics of Probability , 1989, IJCAI.

[10] Giangiacomo Gerla,et al. Pavelka's Fuzzy Logic and Free L-Subsemigroups , 1985, Math. Log. Q..

[11] Alfred Tarski,et al. Measures in Boolean algebras , 1948 .

[12] Jan Pavelka,et al. On Fuzzy Logic I Many-valued rules of inference , 1979, Math. Log. Q..