Possibilistic risk assessment

Some events are so rare that it is impossible to construct any evidence-based probability distribution for them. Judgmental assessment of probability is also suspect because extremely small probabilities are not readily distinguished from one another subjectively. We define a class of extremely rare events called "adventitious events" and illustrate the use of possibility theory to analyze risks associated with them.

[1]  Dimitar P. Filev,et al.  Fuzzy SETS AND FUZZY LOGIC , 1996 .

[2]  M. Gruber,et al.  Risk assessment in environmental policy-making. , 1987, Science.

[3]  George J. Klir,et al.  Fuzzy sets, uncertainty and information , 1988 .

[4]  George J. Klir,et al.  Fuzzy sets and fuzzy logic , 1995 .

[5]  Siegfried Gottwald,et al.  Fuzzy Sets and Fuzzy Logic , 1993 .

[6]  Ortwin Renn,et al.  Concepts of risk : a classification , 1992 .

[7]  Bryan E. Denham Against the Gods: The Remarkable Story of Risk , 1997 .

[8]  Ortwin Renn The social arena concept of risk debates , 1993 .

[9]  L. Zadeh Fuzzy sets as a basis for a theory of possibility , 1999 .

[10]  George E Apostolakis,et al.  How Useful Is Quantitative Risk Assessment? , 2004, Risk analysis : an official publication of the Society for Risk Analysis.

[11]  Philippe Smets,et al.  The Combination of Evidence in the Transferable Belief Model , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[12]  Shawn P. Curley,et al.  Belief, knowledge, and uncertainty: A cognitive perspective on subjective probability , 1991 .

[13]  Carlos Dora What can health impact assessment add to comparative risk assessment in decision-making? , 2003, Bulletin of the World Health Organization.

[14]  K Ulm,et al.  A simple method to calculate the confidence interval of a standardized mortality ratio (SMR) , 1990, American journal of epidemiology.

[15]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[16]  Arthur P. Dempster,et al.  Upper and Lower Probabilities Induced by a Multivalued Mapping , 1967, Classic Works of the Dempster-Shafer Theory of Belief Functions.