Logical Operators and Fuzzy Operators:

Logical Operators and Fuzzy Operators:


Fuzzy logic is an extension of the standard logic and it can be used the same logical operators such as AND, OR and NOT with fuzzy logic, but with the expansion of the concept of some of these factors in order to serve fuzzy logic. The difference between the logical operators and fuzzy factors in the recent, run on the two numbers 0 and 1 as well as decimals confined between them, so these factors should be used in a way that fuzzy logic expands the concept of classical logic while preserving the principle of work and truth tables. The following figure shows the relationship between the logical factors and fuzzy factors.




The relationship between the logical factors and the fuzzy factors.


A simple reading of the truth table logical function AND can be inferred that this process choose less element of their transactions, so you can expand the AND logic to fuzzy AND using min which returns smaller factors, the logical function OR is always return largest factors and it can fuzzification logical OR using max function that returns the largest factors. the logical NOT function can be obtained by taking complement of NOT. Former figure shows that the logical factors and fuzzy factors given the same results when applied to binary numbers.