Fuzzy sets may have to be combined with other fuzzy sets. Common operations are 'and', 'or', and 'not'. These operations can be defined as:
Definition 1 (Fuzzy AND Min)
Definition 2 (Fuzzy OR Max)
Definition 3 (Fuzzy NOT)
These definitions will be used as parts offuzzy models. Alternative definitions for fuzzy 'and' and 'or' are
Definition 4 (Fuzzy AND Prod)
Definition 5 (Fuzzy OR Add)
These definitions are based on fuzzy t-norm and t-conorm. In fuzzy models the definitions 4 and 5 often show a better behavior than definitions 1 and 2. This will be explained in greater detail below (minimum/ maximum and/or was used because simple fixed-point micro-controllers are faster that way; floating-point-PCs are not (multiplication is faster than floating-point comparison)).
Was this article helpful?
Learning About 10 Ways Fight Off Cancer Can Have Amazing Benefits For Your Life The Best Tips On How To Keep This Killer At Bay Discovering that you or a loved one has cancer can be utterly terrifying. All the same, once you comprehend the causes of cancer and learn how to reverse those causes, you or your loved one may have more than a fighting chance of beating out cancer.