Next Problem (1 point) Fuzzy sets are used in artificial intelligence. Each element in the universal set U has a degree of membership, which is a real number between 0 and 1 ( including 0 and 1 as possibilities), in a fuzzy set S. The fuzzy set S is denoted by listing the elements with their degrees of membership (elements with 0 degree of membership are not listed). For example, we write F= {0.5 Alice, 0.85 Brian, 0.65 Rita, 0.2 Oscar, 0.4 Fred} for the (fuzzy) set of famous people to indicate that Alice has a 0.5 degree membership to F, that Brian has a 0.85 membership to and so on. (Thus for example Brian is the most famous of these people while Oscar is the least famous.) (0.3 Alice, 0.35 Brian, 0.25 Rita, 0.60scar, 0.15 Fred). The complement of a fuzzy set.S Also suppose that R is the (fuzzy) set of rich people given by R is the fuzzy set S, where the degree of memebership of an element in S is 1 minus the degree of membership of that element in S. Thus for example we have: F- Alice, Brian, Rita, Oscar, Fred. The intersection of two fuzzy sets S and T is the fuzzy set SnT, where the degree of membership of an element in SnT is the minimum of the degrees of membership of this element in S and in 7'. Thus the fuzzy set FR of the rich and famous people is: FOR- Alice, Brian, Rita, Oscar, Fred.