Paper Info
Title
Towards more adequate representation of uncertainty: From intervals to set intervals, with the possible addition of probabilities and certainty degrees
Abstract
In the ideal case of complete knowledge, for each property Pi (such as ldquohigh feverrdquo, ldquoheadacherdquo, etc.), we know the exact set Si of all the objects that satisfy this property. In practice, we usually only have partial knowledge. In this case, we only know the set Si of all the objects about which we know that Pi holds and the set Si about which we know that Pi may hold (i.e., equivalently, that we have not yet excluded the possibility of Pi). This pair of sets is called a set interval. Based on the knowledge of the original properties, we would like to describe the set S of all the values that satisfy some combination of the original properties: e.g., high fever and headache and not rash. In the ideal case when we know the exact set Si of all the objects satisfying each property, it is sufficient to apply the corresponding set operation (composition of union, intersection, and complement) to the known sets Si. In this paper, we describe how to compute the class S of all possible sets S.
Year
DOI
Venue
2008
10.1109/FUZZY.2008.4630489
FUZZ-IEEE
Keywords
Field
DocType
uncertain systems,set intervals,uncertainty representation,set operation,certainty degrees,set theory,probability,fuzzy systems,blood pressure,helium,uncertainty,logic,silicon,satisfiability,upper bound,fuzzy sets
Set theory,Discrete mathematics,Combinatorics,Certainty,Upper and lower bounds,Fuzzy set,Fuzzy control system,Uncertainty representation,Uncertain systems,Mathematics
Conference
ISSN
ISBN
Citations 
1098-7584 E-ISBN : 978-1-4244-1819-0
978-1-4244-1819-0
2
PageRank 
References 
Authors
0.40
2
7
Name
Order
Citations
PageRank
JingTao Yao1121783.16
Y. Y. Yao29707674.28
Vladik Kreinovich31091281.07
P. P. da Silva420.40
Scott A. Starks56112.76
Gang Xiang67711.18
Hung T. Nguyen74310.05