Mahalanobis fuzzy   hypervolume index

(* 
Input: membership matrix U, covariance matrices (∑_j)∈(ℝ^(n\[Cross]n)), j=1⃛k;
Output: MFHV index;
Submodules: dM[]
*)

Clear[MFHV]
MFHV[U_,cov_]:=Module[{k=Length[cov],VV,max,sum=0},
Return[Sum[Sqrt[Det[cov[[j]]]]/Sum[U[[i,j]]^q,{i,m}],{j,k}]]
]