Abstract
We introduce the concept of (gamma, delta)-bifuzzy Lie subalgebra, where gamma, delta are any two of {epsilon,q,epsilon boolean OR q, epsilon boolean AND q} with gamma not equal epsilon boolean AND q, by using belongs to relation (epsilon) and quasi-coincidence with relation (q) between bifuzzy points and bifuzzy sets and discuss some of its properties. Then we introduce bifuzzy soft Lie subalgebras and investigate some of their properties.