Month: June 2006

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Bayesian Interpretation of Probability Theory and Fuzzy Logic

Previously, I was a fan of Fuzzy logic and the way it deals with uncertainty. I considered it as a complement of the probability theory. At that time, I thought that probability theory is a theory that deals with randomness kind of uncertainty (so I was a frequentist).
However, after reading something about Bayesian interpretation of probability theory (probability as a measure of plausibility of logical propositions as stated by E. T. Jaynes (see Probability Theory: The Logic of Science) and others), my loyality to the Fuzzy logic weakened. Now, I am not sure if this interpretation of probability is really talking about some other thing and if the probability theory is not a “better” and more plausible thing to do.
I should read more. I know there are several debates around this topic. However, I am not sure if they consider probability theory a Jaynes, Cox, and etc. do.

Anyway, I am going to read this paper:
Didier Dubois, Henri Prade, “ Fuzzy sets and probability : Misunderstandings, bridges and gaps,” Proceedings of the Second IEEE Conference on Fuzzy Systems

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For my chaotic dreams

Philippe Faure and Henri Korn, “ Is there chaos in the brain? I. Concepts of nonlinear dynamics and methods of investigation,” Life Sciences 324 (2001) 773–793.

Henri Korn and Philippe Faure, “ Is there chaos in the brain? II. Experimental evidence and related models,” C. R. Biologies 326 (2003), pp. 787–840.

Stanley Krippner and Allan Combs, “Self-organization in the dreaming brain,” Journal of Mind and Behavior, 21, 2000, pp. 399-412.

There are also some more like:

David Kahn, Allan Combs and Stanley Krippner, “Dreaming as a Function of Chaos-Like Stochastic Processes in the Self-Organizing Brain,” Nonlinear Dynamics, Psychology, and Life Sciences, 2002.

which I liked to read, but I had to be subscribed to the journal that I am not from home (the University must be subscribed (true)). I prefer free science publication that the way it is going on.