Possibility theory is not fully compositional! A comment on a short note by H.J. Greenberg

Fuzzy Sets and Systems

Volumn 95, Issue 1, 1998, Pages 131-134

  Dubois, Didier ^a   Prade, Henri ^a  

^a IRIT   (France)

Author keywords

Degree of truth; Fuzzy logic; Possibility theory; Uncertainty

Indexed keywords

EID: 0041613029     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(97)00204-2     Document Type: Article

References (10)

1. J.C. Bezdek, S. Pal, Fuzzy Models for Pattern Recognition, ch. 1, IEEE Press, New York, 1996.
2. M. Davio, A. Thayse, Representation of fuzzy functions, Philips Res. Rep. 29 (1973) 93-106.
3. D. Dubois, L. Fariñas del Cerro, A. Herzig, H. Prade, An ordinal view of independence with application to plausible reasoning, in: R. Lopez de Mantaras, D. Poole (Eds.), Proc. 10th Conf. on Uncertainty in Artificial Intelligence, Seattle, WA, 29-31 July 1994, pp. 195-203.
4. D. Dubois, J. Lang, H. Prade, Fuzzy sets in approximate reasoning - Part 2: logical approaches, Fuzzy Sets and Systems 40 (1991) 203-244.
5. D. Dubois, J. Lang, H. Prade, Automated reasoning using possibilistic logic: semantics, belief revision, and variable certainty, IEEE Trans. Knowledge Data Eng. 6 (1994) 64-71.
6. D. Dubois, H. Prade, Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York, 1980.
7. D. Dubois, H. Prade, The management of uncertainty in fuzzy expert systems and some applications, in: J.C. Bezdek (Ed.), Analysis of Fuzzy Information, vol. II, ch. 3, CRC Press, Boca Raton, FL, 1987, pp. 39-58.
8. D. Dubois, H. Prade, Possibility Theory: An Approach to Computerized Processing of Uncertainty, Plenum Press, New York, 1988.
9. D. Dubois, H. Prade, An introduction to possibilistic and fuzzy logics, in: P. Smets, A. Mamdani, D. Dubois, H. Prade (Eds.), Non-Standard Logics for Automated Reasoning, Academic Press, London, 1988, pp. 287-315, and reply, pp. 321-326. Reprinted in: G. Shafer, J. Pearl (Eds.), Readings in Uncertain Reasoning, Morgan Kaufmann, San Mateo, CA, 1990, pp. 742-761.
10. D. Dubois, H. Prade, Can we enforce full compositionality in uncertainty calculi? Proc. 12th National Conf. on Artificial Intelligence (AAAI'94), Seattle, WA, 31 July- 4 August 1994, pp. 149-154.