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For example, we write F = { 0 . 7 Alice, 0 . 9 Brian, 0 . 5 Rita, 0 . 1 Oscar, 0 .

For example, we write F={0.7 Alice,0.9 Brian,0.5 Rita,0.1 Oscar,0.35 Fred} for the (fuzzy) set F of famous people to indicate that Alice has a 0.7 degree membership to F, that Brian has a 0.9 membership to F and so on.( Thus for example Brian is the most famous of these people while Oscar is the least famous. )Also suppose that R is the (fuzzy) set of rich people given by R={0.2Alice,0.4Brian,0.25Rita,0.5Oscar,0.25Fred}. The complement of a fuzzy setS 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:

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