Introduction to Soft Computing: Neuro-Fuzzy and Genetic Algorithms

Solution 2.12  e relation matrix is given in Table 2.11.

Table 2.11. Relation matrix for R

R

Gogo Didi Pozzo Lucky

Gogo 11 0 1

Didi 11 1 1

Pozzo 01 1 0

Lucky 11 0 1

Problem 2.13 Along with relation R of Problem 2.12, consider one more relation among Gogo,

Didi, Pozzo, Lucky regarding who is fond of whom, as shown in Table 2.11. We de ne a relation S such

that x S y if there exists z for which x is fond of z and z is fond of y. Show the relation matrix of S and

then  nd R ∪ S, R ∩ S, R ° S.

Table 2.12. Who is fond of whom

is fond of

Gogo Didi Pozzo Lucky

Gogo 1 011

Didi 0 001

Pozzo 0 010

Lucky 1 100

Solution 2.13  e relation matrix of S is shown in ...