As the logic dealing with {0, 1} is named after its founder George Boole, a boolean or bool for short. I'd suggest we call a fuzzy truth value in the interval of [0,1] after its founder Lotfi A. Zadeh, a zadehan or zade for short. Edit: Fixed Bool to Boole thanks to globular-toast, my internal syntax checker must have auto corrected that one ;)
I'd only use Zadehan if it not only was a value on the interval [0, 1] but a fuzzy membership value on that interval to which the Zadeh fuzzy logic operators apply. If it was a probability value to which Bayesian operators apply, Zadehan would be a singularly inappropriate name for the type. Types aren't just ranges but they also define the valid operations (whether syntactically functions, methods, or operators) on…
I'm not sure if I find Koskos argument convincing, however one could also argue that a bayes is a subtype of a zadeh ;) http://sipi.usc.edu/~kosko/Fuzziness_Vs_Probability.pdf