On Viewing Fuzzy Measures as Fuzzy Subsets

We introduce the concept of a fuzzy measure, discuss some of their basic properties and look at some notable examples. We introduce a correspondence between a fuzzy measure on X and a fuzzy subset over the power set of X. These fuzzy subsets are required to have special properties on the space 2
^X
and we refer to these as measure type fuzzy sets. We take advantage of this correspondence between a fuzzy measure and a fuzzy set to suggest the formulation of various set operations on fuzzy measures.