This code defines a class called `relation` that contains methods...

April 23, 2024 at 06:00 AM

class relation:

def init (self):

self.r=self.c=int(input('No. of elements in set:))

self.1=[]

for i in range(self.r):

11=[]

for j in range(self.c):

print('Entre 0/1 at al, i+1,j+1,':',end='')

11.append(int(input()))

self.l.append(11)

def ref(self):

if self.l[i][i]==0:

for i in range(self.r):

return False

return True

def sym(self):

for i in range(self.r):

for j in range(i,self.r):

if self.l[i][j]!=self.1[j][i]:

return False

return True

def anti_sym(self):

for i in range(self.r):

for j in range(i+1,self.r):

if (self.l[i][j] and self.l[j][i]):

return False

return True

def trans(self):

for i in range(self.r):

for j in range(self.r):

for k in range(self.r):

if self.l[i][j] and self.l[j][k]:

if (self.l[i][k]==0):

return True

return False

I

def display (self):

for i in range(self.r):

for j in range(self.r):

ob=relation()

print()

print(self.l[i][j],end='')

ob.display()

print(ob.sym())

print(ob.ref())

print(ob.anti_sym())

print(ob.trans())

This code defines a class called relation that contains methods for checking various properties of a relation matrix. The properties checked by the methods are:

ref: Checks if the relation is reflexive.
sym: Checks if the relation is symmetric.
anti_sym: Checks if the relation is antisymmetric.
trans: Checks if the relation is transitive.

The code also includes a method display that creates an instance of the relation class, populates the relation matrix, and then displays the matrix along with the results of the property checks for symmetry, reflexivity, antisymmetry, and transitivity.

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