Un'applicazione della teoria dei semigruppi ordinati nell'ambito della teoria delle decisioni

Abstract

In this paper we introduce in the semigroup S, whose elements are to be evalued in terms of preference in a particular situation, a pre-order defined through semigroups of S. Then this pre-order is a preference relation with transitive indifference, which can be represented by a utility function.

Keywords

• Semigroups
• Partially ordered semigroups
• Utility function