$($c$)$ Express the properties related to intersection for the following in fuzzy set theory $($i$)$ absorbtion by empty set $($ii$)$ identity $($iii$)$ idempotence $($iv$)$ commutativity $($v$)$ associative $(5$ marks$)$

$3.($a$)$ What is the importance of mutation in Genetic Algorithm $(2$ marks$)$

$($b$)$ Differentiate between objective function and subjective function in GA$.(2$ marks$)$

$($c$)$ Selection procedures can be broadly classified into two classes; Fitness Proportionate Selection and Ordinal Selection. List and briefly discuss one Fitness Proportionate Selection method and one Ordinal Selection method $(4$ Marks$)$