Topological Aggregation of Inequality Preorders

Topological Closure of Translation Invariant Preorders

Our primary query is to Önd conditions under which the closure of a preorder on a topological space remains transitive. We study this problem for translation invariant preorders on topological groups. The results are fairly positive; we Önd that the closure of preorders and normal-orders remain as such in this context. The same is true for factor orders as well under quite general conditions. I...

On Lorenz Preorders and Opportunity Inequality in Finite Environments

On the relationship between limit spaces, many valued topological spaces, and many valued preorders

Let (L , ∗, 1) be a residuated complete latticewith the underlying latticeL ameet continuous lattice. This paper presents a systematic investigation of the interrelationship between the categories of limit spaces, L-topological spaces, and L-preorders. The results exhibit a close connection between these different mathematical structures. © 2008 Elsevier B.V. All rights reserved.

Interpersonal Comparisons of Utility: An algebraic characterization of projective preorders and some welfare consequences

Interpersonal Comparisons of Utility: An Algebraic Characterization of Projective Preorders and Some Welfare Consequences It is shown that any completely preordered topological real algebra admits a continuous utility representation which is an algebra-homomorphism (i.e., it is linear and multiplicative). As an application of this result, we provide an algebraic characterization of the projecti...

Some topological indices of graphs and some inequalities

Let G be a graph. In this paper, we study the eccentric connectivity index, the new version of the second Zagreb index and the forth geometric–arithmetic index.. The basic properties of these novel graph descriptors and some inequalities for them are established.