A note on the conditional probability of fuzzy subsets of a continuous domain

Fuzzy Sets and Systems

Volumn 96, Issue 2, 1998, Pages 211-222

  Baldwin, J F ^a   Lawry, J ^a   Martin, T P ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

Analytical method; Conditional probability of fuzzy sets; Mass assignment; Semantic unification

Indexed keywords

EID: 0010341402     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(96)00275-8     Document Type: Article

References (15)

1. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).
2. T.M. Apostal, Mathematical Analysis (Addison-Wesley, Reading, MA, 1974).
3. J.F. Baldwin, Evidential support logic programming, Fuzzy Sets and Systems 24 (1987) 1-26.
4. J.F. Baldwin, Computational models of uncertainty reasoning in expert systems, Comput. Math. App. 19 (11) (1990) 105-119.
5. J.F. Baldwin, J. Lawry and T.P. Martin, A mass assignment theory of the probability of fuzzy events, Fuzzy Sets and Systems 83 (1996) 353-367.
6. J.F. Baldwin, J. Lawry and T.P. Martin, A note on probability/possibility consistency for fuzzy events, Proc. IPMU 96, 521-526.
7. J.F. Baldwin, T.P. Martin and B.W. Pilsworth, FRIL Manual (Version 4.0), FRIL Systems Ltd, Bristol Business Centre, Maggs House, Queens Road, Bristol BS8 1QX, UK (1988).
8. J.F. Baldwin, T.P. Martin and B.W. Pilsworth, FRIL - Fuzzy and Evidence Reasoning in A.I (Research Studies Press, Wiley, New York, 1995).
9. 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).
10. D. Dubois and H. Prade, Measuring properties of fuzzy sets: A general technique and its use in fuzzy query evaluation, Fuzzy Sets and Systems 38 (1990) 137-152.
11. D. Dubois and H. Prade, Scalar evaluation of fuzzy sets: Overview and applications, Appl. Math. Lett. 3 (2) (1990) 37-42.
12. I.R. Goodman and H.T. Nguyen, Uncertainty Models for Knowledge Based Systems (North-Holland, Amsterdam, 1985).
13. U. Höhle, MaBe auf unscharfen Mengen, Zeitshrift für Wahrscheinlichkeitstheorie und verwandte Gebiete 36 (1976) 179-188.
14. L.A. Zadeh, Probability measures of fuzzy events, J. Math. Anal. Appl. 23 (1968) 421-427.
15. L.A. Zadeh, Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems 1 (1978) 3-28.