This paper provides two representation theorems for time preferences. They both cover as special cases a variety of time preference models considered in the experimental and theoretical literatures on intertemporal choice. In particular, similarity relations on time and outcomes, exponential, quasi-hyperbolic and hyperbolic discounting are special cases of the theorems. This approach identi…es ...

This paper investigates fundamental theorems of regular variation (Uniform Convergence, Representation, and Characterization Theorems) some of which, in the classical setting of regular variation in R, rely in an essential way on the additive semi-group of natural numbers N (e.g. de Bruijn’s Representation Theorem for regularly varying functions). Other such results include Goldie’s direct proo...

In this paper we show how the relationships between first-order ontologies within a repository can be used to support ontology verification. We discuss the use of representation theorems and classification theorems to characterize the models of an ontology, and then show how such results can be obtained from notions such as relative interpretation.

In this paper, some kinds of cut sets for R̄-fuzzy sets are introduced and their properties are given. Moreover, the decomposition theorems and representation theorems on R̄-fuzzy sets are obtained based on different cut sets. Finally, the axiomatic definition of cut set for R̄-fuzzy set is introduced which characterizes the common properties of cut set.