We test the efficiency of two pairwise comparison methods. The methods studied are Salminen’s piecewise linear prospect theory (PLP) method and the convex cone method by Korhonen, Wallenius, and Zionts (KWZ). The PLP method is based on a piecewise linear difference function. The KWZ method assumes a quasi-concave utility or value function. These methods are tested using randomly generated data ...

To characterize categorical constraints associativity, commutativity and monoidality in the context of quasimonoidal categories, from a cohomological point of view, we define the notion of a parity (quasi)complex. Applied to groups gives non-abelian cohomology. The categorification functor from groups to monoidal categories provides the correspondence between the respective parity (quasi)comple...

Multiple Input Multiple Output (MIMO) wireless communication systems have shown to provide large capacity increase due to different modes available in the channel. The Linear Dispersion Codes (LDCs), proposed by Bell Labs, are open-loop techniques that achieve the maximum rate in highly dispersive scenarios. However, one important point to take into account is the error probability exhibited by...

We introduce two kinds of quasi-inner functions. Since every rationally invariant subspace for a shift operator SK on a vector-valued Hardy space H(Ω, K) is generated by a quasi-inner function, we also provide relationships of quasi-inner functions by comparing rationally invariant subspaces generated by them. Furthermore, we discuss fundamental properties of quasi-inner functions, and quasi-in...

We introduce two kinds of quasi-inner functions. Since every rationally invariant subspace for a shift operator SK on a vector-valued Hardy space H(Ω, K) is generated by a quasi-inner function, we also provide relationships of quasi-inner functions by comparing rationally invariant subspaces generated by them. Furthermore, we discuss fundamental properties of quasi-inner functions, and quasi-in...

In one variable, the theory of H(b) spaces splits into two streams, one for b which are extreme points of the unit ball of H∞(D), and the other for non-extreme points. We show that there is an analogous splitting in the Drury-Arveson case, between the quasi-extreme and non-quasiextreme cases. (In one variable the notions of extreme and quasi-extreme coincide.) We give a number of equivalent cha...

It is known that the Fundamental Theorem of Hopf modules can be used to characterize Hopf algebras: a bialgebra H over a field is a Hopf algebra (i.e. it is endowed with a so-called antipode) if and only if every Hopf module M over H can be decomposed in the form M coH ⊗ H , where M coH denotes the space of coinvariant elements in M . A partial extension of this equivalence to the case of quasi...

Let H 0 be any xed graph. For a graph G we deene H 0 (G) to be the maximum size of a set of pairwise edge-disjoint copies of H 0 in G. We say a function from the set of copies of H 0 in G to 0; 1] is a fractional H 0-packing of G if

A group is called morphic if for each normal endomorphism α in end(G),there exists β such that ker(α)= Gβ and Gα= ker(β). In this paper, we consider the case that there exist normal endomorphisms β and γ such that ker(α)= Gβ and Gα = ker(γ). We call G quasi-morphic, if this happens for any normal endomorphism α in end(G). We get the following results: G is quasi-morphic if and only if, for any ...