Set functions are (or signals) indexed by the powerset (set of all subsets) a finite set N. They fundamental and ubiquitous in many application domains have been used, for example, to formally describe or quantify loss semantic image segmentation, informativeness sensors sensor networks utility sets items recommender systems, cooperative games game theory, bidders combinatorial auctions. In par...

it is well known fact that binary relations are generalized mathematical functions. contrary to functions from domain to range, binary relations may assign to each element of domain two or more elements of range. some basic operations on functions such as the inverse and composition are applicable to binary relations as well. depending on the domain or range or both are fuzzy value fuzzy set, i...