Recent content by Ray12

  1. R

    Is there a theory of probability based on fuzzy set theory?

    Also, I am unfamiliar with exactly how this would work. Could you explain how it would adequately detail an imprecise situation, or direct me to any good papers or articles on the subject? You've got my curiosity piqued.
  2. R

    Is there a theory of probability based on fuzzy set theory?

    I'm not denying that certain statements are or can be made crisp, such as the example you gave of: "Today has a 0.7 degree of membership in the set of rainy days" That is a case where I would agree that, yes, it is clear cut true or false. I'm just wondering about the cases where things have a...
  3. R

    Why is Diffraction dependent upon wavelength?

    I checked out the Huygen's-Fresnel Principle, but can't say I fully understood it (For example, what's the mechanism behind the secondary wavelets? Or are they just a useful model, not necessarily real? Also FYI, for me to really "get" something, I like to have a mechanical visualization of...
  4. R

    Is there a theory of probability based on fuzzy set theory?

    I do know that fuzzy set theory and probability aren't the same thing, just FYI (note: I don't mean for this to sound rude or anything, limitations of the written word and all that.) Regular Probability theory is based upon boolean (two valued) set theory. As far as I am aware of, this limits...
  5. R

    Is there a theory of probability based on fuzzy set theory?

    One thing I've wondered for quite some time, and looked for, but not found anything I consider adequate is whether there is a theory of probability based on Zadeh's fuzzy set theory. The closest I've found is Zadeh's Perception Probability Theory, but this doesn't quite seem to cut it...
  6. R

    Why is Diffraction dependent upon wavelength?

    I've searched online and on the forum but still can't find an explanation or mechanism behind why diffraction is dependent upon wavelength. For example, assume a water wave that diffracts around a small boat (smaller than the wavelength). The degree of diffraction decreases as the boat gets...
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