A notion of comparative probabilistic entropy based on the possibilistic specificity ordering

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 3571 LNAI, Issue , 2005, Pages 848-859

  Dubois, Didier ^a   Hüllermeier, Eyke ^b  

^a IRIT   (France)

^b OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; PROBABILITY DISTRIBUTIONS; PROBLEM SOLVING;

NATURAL PARTIAL ORDERING; POSSIBILITY DISTRIBUTIONS; PROBABILISTIC ENTROPY; STANDARD SPECIFICITY;

PROBABILISTIC LOGICS;

EID: 26944457324     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11518655_71     Document Type: Conference Paper

References (17)

1. Birnbaum Z. W. On random variables with comparable peakedness, Annals of Mathematical Statistics, 19, 1948, 76-81.
2. Delgado M. and Moral S. On the concept of possibility-probability consistency, Fuzzy Sets and Systems , 21, 1987 311-318.
3. Dubois D. and Prade H. On several representations of an uncertain body of evidence, in Fuzzy Information and Decision Processes, M.M. Gupta, and E. Sanchez, Eds., North-Holland, Amsterdam, 1982, pp. 167-181.
4. Dubois D. and Prade H. A note on measures of specificity for fuzzy sets, Int. J. of General Systems, 10, 1985, 279-283.
5. Dubois D. and Prade H.: The principle of minimum specificity as a basis for evidential reasoning, In: Uncertainty in Knowledge-Based Systems (B. Bouchon, R.R. Yager, eds.), Springer Verlag, 1987, 75-84.
6. Dubois D. and Prade H. When upper probabilities are possibility measures, Fuzzy Sets and Systems , 49,1992 65-74.
7. Dubois D., Prade H. and Sandri S. On possibility/probability transformations. In: Fuzzy Logic. State of the Art, (R. Lowen, M. Roubens, eds.), Kluwer Acad. Publ., Dordrecht, 1993, 103-112.
8. Dubois D., Nguyen H. T., Prade H. Possibility theory, probability and fuzzy sets: misunderstandings, bridges and gaps. In: Fundamentals of Fuzzy Sets, (Dubois, D. Prade.H., Eds.), Kluwer, Boston, Mass., The Handbooks of Fuzzy Sets Series, 2000 343-438.
9. Dubois D., Foulloy L., Mauris G., Prade H. Possibility/probability transformations, triangular fuzzy sets, and probabilistic inequalities. Reliable Computing 10, 2004, 273-297.
10. Higashi and Klir G. Measures of uncertainty and information based on possibility distributions, Int. J. General Systems, 8, 1982, 43-58.
11. Klir G. A principle of uncertainty and information invariance, Int. J. of General Systems, 17, 1990, 249-275.
12. Maung I.Two characterizations of a minimum-information principle in possibilistic reasoning Int. J. of Approximate Reasoning, 12, 1995, 133-156.
13. H. Moulin. Axioms of Cooperative Decision Making. Cambridge University Press, Cambridge, MA, 1988.
14. Paris J. The Uncertain Reasoner's Companion. Cambridge University Press, Cambridge, UK, 1994.
15. Ramer A. Possibilistic information metrics and distances: Characterizations of structure, Int. J. of General Systems, 18, 1990, 1-10.
16. Smets P. Constructing the pignistic probability function in a context of uncertainty, Uncertainty in Artificial Intelligence 5 (Henrion M. et al., Eds.), North-Holland, Amsterdam, 1990, 29-39.
17. Yager R.R. On the specificity of a possibility distribution, Fuzzy Sets and Systems, 50, 1992, 279-292.