Minimization of Average Sensitivity as a Method of Selecting Fuzzy Functions and Operations: Successes and Limitations

Fuzzy logic is an extension of the standard 2-valued logic { with two possible truth values 0 (\false") and (\true") { to values (degrees of certainty) represented by arbitrary numbers from the interval [0; 1]. One of the main challenges in fuzzy logic is that we need to extend the usual logical operations from the set {0; 1} to the entire interval, and there are many possible extensions. One promising technique for selecting a reasonable extension is to take into account that the fuzzy degrees of certainty are themselve