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DSSCV
2005
Springer
15 years 12 months ago
A Note on Local Morse Theory in Scale Space and Gaussian Deformations
Abstract. In this note we study the local behavior of singularities occurring in scale space under Gaussian blurring. Based on ideas from singularity theory for vector fields this...
Jan-Cees van der Meer
JCP
2007
150views more  JCP 2007»
15 years 6 months ago
Bayesian Networks and Evidence Theory to Model Complex Systems Reliability
Abstract— This paper deals with the use of Bayesian Networks to compute system reliability of complex systems under epistemic uncertainty. In the context of incompleteness of rel...
Christophe Simon, Philippe Weber, Eric Levrat
SLOGICA
2010
138views more  SLOGICA 2010»
15 years 4 months ago
Extensionality and Restriction in Naive Set Theory
Abstract. The naive set theory problem is to begin with a full comprehension axiom, and to find a logic strong enough to prove theorems, but weak enough not to prove everything. T...
Zach Weber
RSKT
2009
Springer
16 years 1 months ago
Three-Way Decision: An Interpretation of Rules in Rough Set Theory
Abstract. A new interpretation of rules in rough set theory is introduced. According to the positive, boundary, and negative regions of a set, one can make a three-way decision: ac...
Yiyu Yao
ISMIS
2003
Springer
15 years 11 months ago
Granular Computing Based on Rough Sets, Quotient Space Theory, and Belief Functions
Abstract. A model of granular computing (GrC) is proposed by reformulating, re-interpreting, and combining results from rough sets, quotient space theory, and belief functions. Two...
Y. Y. Yao, Churn-Jung Liau, Ning Zhong