The degree of belief in a fuzzy event. (English) Zbl 0472.62005


62A01 Foundations and philosophical topics in statistics
94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
60A99 Foundations of probability theory


Zbl 0359.62002
Full Text: DOI


[1] Dempster, A. P., Upper and lower probabilities induced by a multivalued mapping, Ann. Math. Statist., 38, 325-329 (1967) · Zbl 0168.17501
[2] Dempster, A. P., A generalization of Bayesian inference, J. Roy. Statist. Soc., B30, 205-247 (1968) · Zbl 0169.21301
[3] Hacking, I., The Emergence of Probability (1975), Cambridge U. P: Cambridge U. P London · Zbl 0311.01004
[4] Kaufmann, A., Le calcul des admissibilités, (Colloque International sur la théorie et les applications des sous-ensembles flous. Colloque International sur la théorie et les applications des sous-ensembles flous, Marseille (1978))
[5] Shafer, G., Allocation of probability, (doctoral dissertation (1973), Princeton University), (Available from Univ. Microfilm, Ann Arbor).
[6] Shafer, G., A Mathematical Theory of Evidence (1976), Princeton U. P: Princeton U. P Princeton, N.J · Zbl 0359.62002
[7] Shafer, G., Nonadditive probabilities in the work of Bernoulli and Lambert, Arch. History Exact Sci., 19, 309-370 (1978) · Zbl 0392.01010
[8] Smets, Ph., Un modèle mathématico-statistique simulant le processus du diagnostic médical, (doctoral dissertation (1978), Brussels Univ. (ULB)), (Available from Univ. Microfilm, Ann Arbor).
[9] Smets, Ph., Probability of a fuzzy event: an axiomatic approach, Fuzzy Sets and Systems, 5, 259-266 (1981)
[11] Smith, C. A.B., Consistency in statistical inference and decision, J. Roy. Statist. Soc., B23, 1-37 (1961) · Zbl 0124.09603
[12] Smith, C. A.B., Personnal probability and statistical analysis, J. Roy Statist. Soc., A 128, 469-499 (1965)
[13] Zadeh, L., Probability measures of fuzzy events, J. Math. Anal. Appl., 23, 421-427 (1968) · Zbl 0174.49002
[14] Zadeh, L., Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems, 1, 3-28 (1978) · Zbl 0377.04002
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.