donya88
05-31-2011, 03:26 PM
Fuzzy intersections and unions
If http://pnu-club.com/imported/mising.jpg are fuzzy sets (http://www.scholarpedia.org/article/Fuzzy_sets) and http://pnu-club.com/imported/mising.jpg their membership functions, then the fuzzy intersection http://pnu-club.com/imported/mising.jpg of http://pnu-club.com/imported/mising.jpg and http://pnu-club.com/imported/mising.jpg has the membership function http://pnu-club.com/imported/mising.jpg. Thus a t-norm is sometimes called a fuzzy intersection. Depending on the choice of a t-norm, we obtain different fuzzy intersections. Dually, a t-conorm corresponds to a fuzzy union.
If http://pnu-club.com/imported/mising.jpg are fuzzy sets (http://www.scholarpedia.org/article/Fuzzy_sets) and http://pnu-club.com/imported/mising.jpg their membership functions, then the fuzzy intersection http://pnu-club.com/imported/mising.jpg of http://pnu-club.com/imported/mising.jpg and http://pnu-club.com/imported/mising.jpg has the membership function http://pnu-club.com/imported/mising.jpg. Thus a t-norm is sometimes called a fuzzy intersection. Depending on the choice of a t-norm, we obtain different fuzzy intersections. Dually, a t-conorm corresponds to a fuzzy union.