The addition of absolute values of the eigen values of the adjacency matrix of ˜G is equal to energy of a fuzzy graph ˜G and the sum of absolute value of the difference between the eigen values of the Laplacian matrix of ˜G and average degree of the vertices ˜G ii identical to the Laplacian energy of a fuzzy graph ˜G. The biggest distance from v to any other vertex u of ˜G is known as the eccentricity of a vertex v and is( signified) by εG (v) is. The total eccentricity of a fuzzy graph is denoted by ξ ˜G and is equal to sum of eccentricities of all the vertices of the fuzzy graph. In this paper, we investigate the eccentricity version of Laplacian energy of a fuzzy graph ˜G. © 2020, Research Publication. All rights reserved.