Lecture 3 Modeling.pdf

ExampleQuery q=k a ∧ (k b ∨¬k c )disjunctive normal form q dnf =(1,1,1) ∨ (1,1,0) ∨ (1,0,0)(1) the degree of membership in a disjunctive fuzzy set is computedusing an algebraic sum (instead of max function) more smoothly(2) the degree of membership in a conjunctive fuzzy set is computedusing an algebraic product (instead of min function) more smoothlyμq,j= μ= 1−cc1+cc2+cc3,j3∏i=1(1 − μ= 1−(1 − μa,jcci , jμb,j)μc,j) × (1 − μRecall μ ( u)= 1−μ A(u)a,jμb,jA(1 − μc,j)) × (1 − μa,j(1 − μb,j)(1 − μ3-61c,j))