Identical foundation of probability theory and fuzzy set theory

Proceedings of the 5th International Conference on Information Fusion, FUSION 2002

Volumn 2, Issue , 2002, Pages 1442-1449

  De Brucq, Denis B ^a   Colot, Olivier ^b   Sombo, Arnaud ^a  

^a UNIVERSITÉ DE ROUEN   (France)

^b Centre National de la Recherche Scientifique   (France)

Author keywords

Belief function; Dempster Shafer; Possibility; Probability; Uncertainty

Indexed keywords

FUZZY SET THEORY; INFORMATION FUSION; PROBABILITY; UNCERTAINTY ANALYSIS;

BELIEF FUNCTION; CONTEXT DEPENDENCES; DEMPSTER-SHAFER; EVIDENCE THEORIES; FUNCTIONAL EQUATION; POSSIBILITY; PROBABILITY THEORY; UNCERTAINTY;

ALGORITHMS;

EID: 52249091392     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICIF.2002.1020985     Document Type: Conference Paper

References (10)

1. ACZEL J. Lectures on functional equations and their applications, Academic press New York and London 1966.
2. COX R. T., Pobability frequency and reasonable expectation, American Journal of Physics, 14(1):1-14,1946.
3. DEMPSTER A. P. Upper and lower probabilities induced by a multivalued mapping, Annals of mathematical statistics, 1967.
4. GACOGNE L. Elements de logique flout, Hermes, Paris, 1997.
5. JAYNES E. T. Probability theory: The logic of science, http://omega. albany. edu:8008/JaynesBook. html, 1994.
6. PARIS J. B. The uncertain reasoner's companion. A mathematical perspective, Cambridge University Press, 1994.
7. SHAFER G. A mathematical theory of evidence, Princeton Ujiversity Press, 1976.
8. TRIBUS M. Decisions rationnelles dans I'incertain, Masson et Cie, Paris, 1972.
9. ZADEH L. A. Fuzzy sets, volume 8 Information and Control, Academic Press, New York, 1965.
10. ZADEH L. A. Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems, 1:3-28,1978.