In this paper we introduce a new procedure called α -Discounting Method for MultiCriteria Decision Making (α-D MCDM), which is as an alternative and extension of Saaty’s Analytical Hierarchy Process (AHP). It works for any number of preferences that can be transformed into a system of homogeneous linear equations. A degree of consistency (and implicitly a degree of inconsistency) of a decision-...

In this paper homotopy perturbation method (HPM) is employed to solve two kinds of differential equations: one dimensional non homogeneous parabolic partial differential equation and non linear differential equation. Using the HPM, an exact analytical solution to non homogeneous parabolic partial differential equation and an approximate explicit solution for a non linear differential equation w...

In isotropic finite elasticity, unlike in the linear elastic theory, a homogeneous Cauchy stress may be induced by non-homogeneous strains. To illustrate this, we identify compatible nonhomogeneous three-dimensional deformations producing a homogeneous Cauchy stress on a cuboid geometry, and provide an example of an isotropic hyperelastic material, which is not rank-one convex, and for which th...

Consider the linear nonhomogeneous fixed-point equation R D = N � i=1 Ci Ri + Q, where (Q, N , C1, C2, . . .) is a random vector with N ∈ {0, 1, 2, 3, . . .} ∪ {∞}, Ci ≥ 0 for all i ∈ N, P(|Q| > 0) > 0, and {Ri }i∈N is a sequence of i.i.d. random variables independent of (Q, N , C1, C2, . . .) having the same distribution as R. It is known that R will have a heavy-tailed distribution under seve...

We consider a decentralized networked control system (DNCS) consisting of remote controller and collection linear plants, each associated with local controller. Each directly observes the state its colocated plant can inform plant's through an unreliable uplink channel. The downlink channels from to controllers were assumed be perfect. objective is cooperatively minimize infinite horizon time a...

Shallow water waves are governed by a pair of non-linear partial differential equations. We transfer the associated homogeneous and non-homogeneous systems, (corresponding to constant and sloping depth, respectively), to the hodograph plane where we find all the non-simple wave solutions and construct infinitely many polynomial conservation laws. We also establish correspondence between conserv...

In this paper we study the pseudorandomness of finite binary sequences derived from linear recursions. We show, that the well-distribution measure is small. Furthermore we also show that the correlation measures are small for small correlation orders, but if the order of the correlation is greater than the order of the linear recursion, then the correlation can be large. 2000 Mathematics Subjec...