This dissertation discusses several set-valued set functions on compact Hausdorff spaces. The definitions of the set functions are similar to that of the well-known set function T. In addition to set functions T and K, three new set functions will be discussed.;Let S be a compact Hausdorff space, ;Chapter 1 provides some background information. Chapter 2 discusses the basic properties of an arbitrary set function ;Chapter 3 discusses the relationships between ;Chapter 4 discusses the unions, intersections and compositions of the set functions and Chapter 5 discusses the behavior of... |