A history and introduction to the algebra of conditional events and probability logic
Tóm tắt
This article is meant to serve as an introduction to the following series of papers on various aspects of conditional event algebra and probability logic. It addresses the history of the problem and gives an overview of the development of the subject and its impact on the investigation of problems within AI.<>
Từ khóa
#History #Algebra #Probabilistic logic #Logic functions #Bayesian methods #Decision making #Artificial intelligence #Uncertainty #Probability distribution #HumansTài liệu tham khảo
shafer, 1971, A Mathematical Theory of Evidence
rescher, 1969, Many-Valued Logics
pearl, 1988, Probabilistic Reasoning in Intelligent Systems
pawlak, 1991, Rough Sets Theoretical Aspects of Reasoning about Data
10.1016/S0019-9958(65)90241-X
10.1109/21.328927
walker, 1991, Conditional Logic in Expert Systems, 101
10.1016/0022-247X(68)90035-8
10.1214/aoms/1177698950
dubois, 1987, Theorie des Possibilites
dubois, 1991, Conditional Logic in Expert Systems, 115
0
10.1007/978-3-540-79721-0_37
10.1016/B978-1-4832-8287-9.50020-7
goodman, 1988, Fuzzy Computing Theory Hardware and Applications, 119
10.1016/0020-0255(94)90065-5
goodman, 1991, Conditional Inference and Logic for Intelligent systems A Theory of Measure-Free Conditioning, 10.21236/ADA241568
10.1007/978-3-0348-7633-9
nguyen, 1992, Intervals in Boolean rings: Approximation and logic, Foundations of Computing and Decision Sciences, 17, 131
boole, 1958, The Laws of Thought
10.1016/0004-3702(86)90031-7
bennette, 1992, Lebegue order in probabilities and some applications to perception, To appear in J Math Psychology
calabrese, 1991, Conditional Logic in Expert Systems, 71
10.1007/BF01001956
10.1016/0020-0255(87)90023-5
10.2307/2371618
10.1109/21.328925
0
definetti, 1974, Theory of Probability, 1 and 2
10.1007/978-94-015-7622-2
hailperin, 1976, Boole's Logic and Probability
kolmogorov, 1950, Foundations of the Theory of Probability
halmos, 1963, Lectures in Boolean Algebras
lewis, 1976, Probabilities of conditionals and conditional probabilities, Phil Rev, 85, 297, 10.2307/2184045
10.1090/S0002-9904-1940-07294-5
neapolitean, 1990, Probabilistic Reasoning in Expert Systems Theory and Applications
10.2307/1402448