Q71, P3,J15.Let A and B be two fuzzy integers defined as:

A={(1,0.3),(2,.6)(3,1),(4,.7),(5,.2)}

B={(10,.5),(11,1),(12,.5)}.

f(A+B) is [N= max.

Min.]

Options

A) {(11,.08),(13,1),(15,1)}

B){(11,0.3),(12,0.5),(13,1),(14,1),(15,1),(16,0.5),(17,0.2)}

C){(11,0.3),(12,0.5),(13,0.6)(14,1),(15,1)(16,.5),(17,0.2).

D){(11,0.3),(12,0.5),(13,0.6),(14,1),(15,0.7),(16,0.5),(17,0.2).

Answer D.

f(A+B)= ((1+10,min(.3,.5)),((1+11),min(.3,1)),(1+12)min(.3,.5).

((2+10, min(.6,.5)),((2+11),min(.6,1)),((2+12)min(.6,.5)),

((3+10, .5),(14,1),(15,.5).

(4+10,.5),(4+11,.7),16(.5)

(5+10,.2),(16,.2),(17,.2)}.

after finding the minimum of A+B, find the max of duplicates.

{(11,.3),(12,max(.3,.5)),(13,max(.3,.6,.5)),(14,max(.5,1,.5)),(15,max(.5,.7,.2)),(16,max(.5,.2)),(17,.2).

so

{(11..3),(12,.5),(13,.6),(14,1),(15,.7),(16..5),(17,.2).