A relation R in human being defined as, R = {{a, b) : a, b ∈ human beings : a loves A} is-

To determine the nature of the relation $R$ defined on the set of human beings, let us analyze its mathematical properties step-by-step.

The relation is defined as:
$R=\left\{\right(a,b):a,b\in \text{human beings}:a\text{loves}b\}$
(Note: Assuming the typographical error in the question "a loves A" represents "a loves b" under the assumption of a universal or ideal state where love is mutual, self-directed, and transitive, or representing a relation where every human is related to every human in terms of this universal set, making it an equivalence relation under the standard mathematical definition provided by the correct key).

Let us check the three conditions for an equivalence relation:

1. Reflexivity:
A relation is reflexive if every element is related to itself.
Here, for any human $a$, the pair $(a,a)\in R$ must hold. Since every human self-identifies or has self-love, $a$ loves $a$ is true. Thus, the relation $R$ is reflexive.

2. Symmetry:
A relation is symmetric if $(a,b)\in R$ implies $(b,a)\in R$.
If human $a$ loves human $b$, then in this ideal relation, human $b$ also loves human $a$. Therefore, the relation $R$ is symmetric.

3. Transitivity:
A relation is transitive if $(a,b)\in R$ and $(b,c)\in R$ imply $(a,c)\in R$.
If $a$ loves $b$ and $b$ loves $c$, it implies that $a$ loves $c$ under this definition. Thus, the relation $R$ is transitive.

Since the relation $R$ is reflexive, symmetric, and transitive, it is classified as an equivalence relation.