AE4M33RZN, Fuzzy logic: Fuzzy relations
AE4M33RZN, Fuzzy logic: Fuzzy relations
AE4M33RZN, Fuzzy logic: Fuzzy relations
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Theorem 234.<br />
Let R, S and T be <strong>relations</strong> (defined over sets that “make sense”) The<br />
following equations hold:<br />
R ○ ∘ E = R, E ○ ∘ R = R (21)<br />
(R ○ ∘ S) -1 = S -1 ○ ∘ R -1 (22)<br />
R ○ ∘ (S ○ ∘ T) = (R ○ ∘ S) ○ ∘ T (23)