Talk:Membership function (mathematics)
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[edit]It seems to me that the 1 and 0 values are inverted on the y axis here. If 1 represents full membership, and 0 represents full exclusion, then the curve is an inverstion of the standard bell curve - very counterintuitive.
Now I see the problem. the crisp set is a lineat function that follows the x axis until the condition for membership is met, then is set to value 1, until the condition for membershup no longer holds.
Probabilities and fuzzy/membership values
[edit]On the [warning added on 2005](https://en.wikipedia.org/w/index.php?title=Membership_function_(mathematics)&oldid=12912939) about confusing probabilities and sets. While I (think I) understand the argument that they are conceptually distinct. It is not clear to me why they cannot be used as probabilities. Perhaps a reference discussing this topic membership-probabilities would help future readers. 2.142.26.248 (talk)
For reference
[edit]For those interested in editing this article, I urge you to please consult this paper by Turksen and Bilgic. It is an excellent primer on membership functions, drawing from a satisfying variety of sources. Measurement of membership functions: Theoretical and empirical work
Lotfi Zadeh
[edit]The article mentions Aliasker Zadeh. I went to Berkeley where he taught. I never heard him called anything but Lotfi Zadeh. I had to check to make sure this was the same person. If you click on the link you see that it's the same person. I wonder if this could be clarified? MarkWegman (talk) 15:24, 12 December 2023 (UTC)