I might have suggested researching my brother-in-law Dr Caro Lucas , who is no longer living. He was an expert on Fuzzy Logic but had many researcher students and publications.
Also I know over 15 yrs ago when Sony used fuzzy logic for faster auto-focus in low light conditions.
If this is not for a camera but simply post processing a fuzzy image, there are many methods implemented already in applications like PHotoshop, Corel Draw, Paint Shop Pro.
Learn what is the state of the art in fuzzy image processing commercially and then see where you can make improvements.
Frequency domain vs gamma shift vs edge detect and centroid weighting,
Paint Shop Pro has slider options (for matrix calculations) continuous gradient or size of sub-processing.
To evaluate your methods use many methods of blurring and fuzzy images and then determine the least squared error differences between clean image, fuzzy image and post-processed image to have a figure of merit (FOM) in recognizing an image, such as PIcasa's variable threshold facial recognition. ANother metric is processing speed with batch processing.