Toward a general theory of conditional beliefs

International Journal of Intelligent Systems

Volumn 21, Issue 3, 2006, Pages 229-259

  Coletti, Giulianella ^a   Scozzafava, Romano ^b  

^a UNIVERSITY OF PERUGIA   (Italy)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ARTIFICIAL INTELLIGENCE; FUNCTION EVALUATION; UNCERTAIN SYSTEMS;

COHERENT PROBABILITY; CONDITIONAL BELIEFS; DECOMPOSABLE MEASURES;

PROBABILITY;

EID: 33645319698     PISSN: 08848173     EISSN: 1098111X     Source Type: Journal    
DOI: 10.1002/int.20133     Document Type: Conference Paper

References (15)

1. de Finetti B. La logique de la probabilité. In: Actes du Congrès International de Philosophie Scientifique. Paris: Hermann; 1935. pp 1-9.
2. Coletti G, Scozzafava R. Conditioning and inference in intelligent systems. Soft Comput 1999;3:118-130.
3. Coletti G, Scozzafava R. From conditional events to conditional measures: A new axiomatic approach. Ann Math Artif Intell 2001;32:373-392.
4. Coletti G, Scozzafava R. Probabilistic logic in a coherent setting. Trends in Logic, vol 15. Dordrecht: Kluwer; 2002.
5. Dempster AP. Upper and lower probabilities induced by a multivalued mapping. Ann Math Stat 1967:38:325-339.
6. Shafer G. A mathematical theory of evidence. Princeton, NJ: University of Princeton Press; 1976.
7. Bouchon-Meunier B, Coletti G, Marsala C. Possibilistic conditional events. In: Bouchon-Meunier B, Gutierrez-Rios J, Magdalena L, Yager RR, editors. Proc Eighth Conf on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2000), Madrid; 2000, pp 1561-1566.
8. de Finetti B. Sull'impostazione assiomatica del calcolo delle probabilità. Ann Univ Trieste 1949; 19:3-55. (English translation Chapter 5, Probability, Induction, Statistics. London: Wiley; 1972.)
9. Coletti G. Coherent numerical and ordinal probabilistic assessments. IEEE Trans Syst Man Cyber 1994;24:1747-1754.
10. Coletti G, Scozzafava R. Characterization of coherent conditional probabilities as a tool for their assessment and extension. Int J Uncert Fuzz Knowl Base Syst 1996;4:103-127.
11. Horn A, Tarski A. Measures in Boolean algebras. Trans Am Math Soc 1948;64:467-497.
12. Scozzafava R. Subjective probability versus belief functions in artificial intelligence. Int J Gen Syst 1994:22:197-206.
13. Smets P. Belief functions versus probability functions. In: Bouchon-Meunier B, Yager RR, Saitta L, editors. Uncertainty and intelligent systems. Berlin: Springer Verlag; 1988. pp 17-24.
14. Coletti G, Scozzafava R. Stochastic independence in a coherent setting. Anna Math Artif Intell 2002:35:151-176.
15. Goodman IR, Nguyen HT. Conditional objects and the modeling of uncertainties. In: Gupta MM, Yamakawa T, editors. Fuzzy computing. Amsterdam: North Holland; 1988. pp 119-138.