Munosabatlar superpozitsiyasi. Tа’rif

Nazorat uchun savollar:

1. 
   Munosabatlarning superpozitsiyasi deb nimaga aytiladi?
   
2. 
   binar munosabatlar uchun superpozitsiyaning assotsiativligini isbotlang.
   

3. va binar munosabatlar uchun

tenglik o`rinli ekanligini isbotlang.

4. munosabat uchun o`rinli ekanligini isbotlang.

5. munosabat uchun o`rinli ekanligini isbotlang.

Mustaqil yechish uchun masalalar:

A={a,b,c}, B={1,2,3}, C={α,β,γ} to‘plamlarda aniqlangan vа binаr munosаbаtlаrning superpozitsiyasini toping:

a) R₁={(a,2),(a,3),(b,1),(c,2)}, R₂={(1,α),(2,α),(2,β), (3,γ)}

b) R₁={(a,3),(a,2),(a,1)}, R₂={(2,γ),(1,α),(1,β)}

c) R₁={(a,3),(b,2),(c,1),(c,2)}, R₂={(1,β),(2,α),(3,β), (3,γ)}

d) R₁={(a,3),(a,2),(a,1)}, R₂={(1,γ),(3,α),(1,β)}

e) R₁={(a,1),(a,3),(c,1),(c,3)}, R₂={(2,α),(2,γ),(1,β), (3,α)}

f) R₁={(a,3),(a,2),(a,1)}, R₂={(1,γ),(1,α),(3,β)}

g) R₁={(a,2),(b,1),(c,3)}, R₂={(1,β),(2,β), (3,α)}

i) R₁={(a,3),(a,2),(a,1)}, R₂={(3,γ),(2,α),(2,β)}