where x ,y are real and imaginary planes in two dimensional space 

Expected Results

Its obvious that we are considering an assumption with certain restrictions to avoid misconceptions, so basically validation of  Fuzzy weights a, b resides in real and imaginary planes and therefore Predicted thoughts(Imitation based)are defined with binary values '1','0' for instance.
 if value is 1 then fuzzy values is        0 0 1
else value is 2 then fuzzy values is   0 1 0
else if value is 3 then fuzzy value is  1 0 0  

Conclusions

In the time domain, Logical thinking is based on Assumption of thought process as imaginary (captured within sinusoidal wave) and imitations (cosine) as real towards evolution of predicted one may be logical reasoning. To be noted that, cosine as delayed and sinusoidal as wave within time.

Noted Facts