Lecture 3 Modeling.pdf

Examples• Assume U={d 1 , d 2 , d 3 , d 4 , d 5 , d 6 }• Let A and B be {d 1 , d 2 , d 3 } and {d 2 , d 3 , d 4 },respectively.• Assume μ A ={d 1 :0.8, d 2 :0.7, d 3 :0.6, d 4 :0, d 5 :0, d 6 :0} andμ B ={d 1 :0, d 2 :0.6, d 3 :0.8, d 4 :0.9, d 5 :0, d 6 :0}μ( u)= 1−μ ( u)• A ={d 1 :0.2, d 2 :0.3, d 3 :0.4, d 4 :1, d 5 :1, d 6 :1}A• μ A∪B( u)= max( μ A(u),μB( u))={d 1 :0.8, d 2 :0.7, d 3 :0.8, d 4 :0.9,d 5 :0, d 6 :0}μ ( u)= min( μ ( u),μ ( u))• A∩BA B ={d 1 :0, d 2 :0.6, d 3 :0.6, d 4 :0,d 5 :0, d 6 :0}3-53