Abstract: The issues relating fuzzy sets definition are under consideration including the analogue for separation
axiom, statistical interpretation and membership function representation by the conditional Probabilities.
Keywords: fuzzy sets, membership function, conditional distribution
ACM Classification Keywords: I.5.1. Pattern Recognition: Models - Fuzzy set
Link:
FUZZY SETS: ABSTRACTION AXIOM, STATISTICAL INTERPRETATION, OBSERVATIONS OF FUZZY SETS
Volodymyr Donchenko
http://www.foibg.com/ijita/vol13/ijita13-3-p06.pdf