images extrated from mathworks site
Fuzzy logic allows to build logic system on approximations. In this project, it could help us to reintroduce subjectivity in the way knowledge is understood and used.
The first scheme show how a nonfuzzy logic produces a flat result based on a complex function and how a fuzzy logic reasoning produces a smoother result based on a simplier function.
Fuzzy logic main expressions are IF for the variable, IS for the property and THEN for the action. The difference with statistic probablilist system is that there is no use of ELSE (0 or 1).
AND, OR and NOT are used in Fuzzy logic systems to define minimum, maximum and complement in order to allow boolean operations.
I suggest to consider fuzzy logic not only in connection with subjectivity (vagueness), but to uncertainty. Thus keeping in mind that vagueness and uncertainty are distinct phenomena: uncertainty is in fact epistemic, while vagueness deserves a peculiar perspective in order to be back-traced to its epistemic's root.
ReplyDeleteI would suggest having a look at the fuzzy-quantum connection; maybe the work of G. Cattaneo ("An unsharp logic from quantum computation") or M.L. Dalla Chiara ("Logics from quantum computation").