Locally strong coherence and inference with lower-upper probabilities

Soft Computing

Volumn 7, Issue 5, 2003, Pages 280-287

  Capotorti, A ^a   Galli, L ^a   Vantaggi, B ^b  

^a UNIVERSITY OF PERUGIA   (Italy)

^b Dipartimento di Metodi e Modelli Matematici   (Italy)

Author keywords

Inference; Locally strong coherence; Lower upper probabilities

Indexed keywords

INFERENCE; INFERENCE PROCESS; REAL PROBLEMS; SPATIAL COMPLEXITY;

ATOMS;

PROBABILITY;

EID: 16344396377     PISSN: 14327643     EISSN: 14337479     Source Type: Journal    
DOI: 10.1007/s00500-002-0214-6     Document Type: Article

References (16)

1. Biazzo V, Gilio A (2000) A generalization of the fundamental theorem of de Finetti for imprecise conditional probability assessments, Int J Approx Reasoning 24: 251-272 2. Capotorti A, Vantaggi B (1998) An alghorithm for coherent conditional probability assessments, Proc IV Congresso Nazionale SIMAI, Giardini Naxos (Messina), Italy, Vol. 2, pp. 144-148
2. Capotorti A, Vantaggi B (1998) An alghorithm for coherent conditional probability assessments, Proc IV Congresso Nazionale SIMAI, Giardini Naxos (Messina), Italy, Vol. 2, pp. 144-148
3. Capotorti A, Vantaggi B (2000) A computational strategy for inference by strong local coherence, Proc. of IPMU2000, Madrid, Spain, pp. 1857-1864
4. Capotorti A, Vantaggi B (2002) Locally strong coherence in inference processes, Annals of Mathematics and Artificial Intelligence, Vol. 35, no 14, pp. 11-28
5. Coletti G (1994) Coherent numerical and ordinal probabilistic assessments, IEEE Trans Syst, Man, Cyber 24: 1747-1754
6. Coletti G, Scozzafava R (1996) Characterization of coherent conditional probabilities as a tool for their assessment and extension. Int J Uncertainty, Fuzziness and Knowledge-Based Systems 4: 103-127
7. Coletti G, Scozzafava R (1997) Exploiting zero probabilities. Proc. of EUFIT'97, Aachen, ELITE Foundation, pp. 1499-1503
8. Coletti G, Scozzafava R (1998) Conditional measures: old and new. In: New trends in Fuzzy Systems, World Scientific, pp. 107-120
9. Coletti G, Scozzafava R (1999) Conditioning and inference in intelligent systems, Soft Computing 3: 118-130
10. Coletti G, Scozzafava R (1999) Coherent upper and lower Bayesian updating, In: Proocedings of the First International Symposium on Imprecise Probabilities and Their Applications, de Cooman G, Cozman FG, Moral S, Walley P (eds), Imprecise Probabilities Project, Universiteit Gent, Belgium, pp. 101-110
11. Coletti G, Scozzafava R (2000) The role of coherence in eliciting and handling imprecise probability and its application to medical diagnosis, Infor Sci 130: 41-65
12. de Finetti B (1949) Sull' impostazione assiomatica delle probabilità, Annali Univ Trieste 19: 3-55. (Engl. transl.: Ch. 5 in Probability, Induction, Statistics Wiley, London, 1972)
13. de Finetti B (1970) Teoria della probabilità, Einaudi, Torino. (Engl. transl.: Theory of Probability, Vol. 1 and 2. Wiley, Chichester, 1974)
14. Jaumard B, Hansen P, Poggi de Aragão M (1991) Column generation methods for probabilistic logic, ORSA J Comp 3: 135-148
15. Walley P (1991) Statistical Reasoning with Imprecise Probabilities, Chapman and Hall, London
16. Williams PM (1975) Note on conditional previsions. School of Mathematical and Physical Sciences, The University of Sussex, Working paper