Properties of measures of information in evidence and possibility theories

Fuzzy Sets and Systems

Volumn 100, Issue SUPPL. 1, 1999, Pages 35-49

  Dubois, Didier ^a   Prade, Henri ^a  

^a UNIVERSITÉ DE TOULOUSE   (France)

Author keywords

Entropy; Information measure; Possibility theory; Shafer's theory of evidence

Indexed keywords

EID: 0002034469     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(99)80005-0     Document Type: Article

References (15)

1. L. Aczél, Lectures on Functional Equations and Applications (Academic Press, New York, 1972).
2. P.N. Arora, On characterizing some generalizations of Shannon's entropy, Inform. Sci. 21 (1980) 13-22.
3. B.C. Buchanan and E.H. Shortliffe, Eds., Rule-Based Expert Systems. The MYCIN Experiments of the Stanford Heuristic Programming Project (Addison Wesley, Reading, MA, 1984).
4. A. De Luca and S. Termini, A definition of a non-probabilistic entropy in the setting of fuzzy set theory, Inform, and Control 20 (1972) 301-312.
5. A.P. Dempster, Upper and lower probabilities induced by a multi-valued mapping, Ann. Math. Statist. 38 (1967) 325-339.
6. A. Di Nola and S. Sessa, On the fuzziness measure and negation in totally ordered lattices, BUSEFAL 8 (1981) 68-77.
7. D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications (Academic Press, New York, 1980).
8. D. Dubois and H. Prade, On several representations of an uncertain body of evidence, in: M.M. Gupta and E. Sanchez, Eds., Fuzzy Information and Decision Processes (North-Holland, Amsterdam, 1982), 167-181.
9. D. Dubois and H. Prade, A note on measures of specificity for fuzzy sets, Internat. J. Gen. Systems 10 (1985) 279-283. Preprint in BUSEFAL 19 (1984) 83-89.
10. D. Dubois and H. Prade, A note on measures of specificity for fuzzy sets, Internat. J. Gen. Systems 10 (1985) 279-283. Preprint in BUSEFAL 19 (1984) 83-89.
11. D. Dubois and H. Prade, Théorie des Possibilités. Applications à la Représentation des Connaissances en Informatique (Masson, Paris, 1985).
12. D. Dubois and H. Prade, Measures d'information pour les distributions de possibilité et les fonctions de croyance, Actes Journées "Analyse de problèmes décisionnnels dans un environnement incertain et imprécis", Reims, July 1985 (GR 22, CNRS, Univ. P. et M. Curie, Paris, 1985), 67-80.
13. D. Dubois and H. Prade, Additivity and monotonicity of measures of information defined in the setting of Shafer's evidence theory, BUSEFAL 24 (1985) 64-76.
14. D. Dubois and H. Prade, A set-theoretic view of belief functions: Logical operations and approximations by fuzzy sets, Internat. J. Gen. Systems 12 (1986) 193-226.
15. M. Higashi and G.J. Klir, On measures of fuzziness and fuzzy complements, Internat. J. Gen. Systems 8 (1982) 115-124.