When is an integral stochastic order generated by a poset?

SOLVING FUZZY LINEAR SYSTEMS BY USING THE SCHUR COMPLEMENT WHEN COEFFICIENT MATRIX IS AN M-MATRIX

This paper analyzes a linear system of equations when the righthandside is a fuzzy vector and the coefficient matrix is a crisp M-matrix. Thefuzzy linear system (FLS) is converted to the equivalent crisp system withcoefficient matrix of dimension 2n × 2n. However, solving this crisp system isdifficult for large n because of dimensionality problems . It is shown that thisdifficulty may be avoide...

The necklace poset is a symmetric chain order

Let Nn denote the quotient poset of the Boolean lattice, Bn, under the relation equivalence under rotation. Griggs, Killian, and Savage proved that Np is a symmetric chain order for prime p. In this paper, we settle the question of whether this poset is a symmetric chain order for all n by providing an algorithm that produces a symmetric chain decompostion (or SCD). We accomplish this by modify...

A New Class of Spatial Covariance Functions Generated by Higher-order Kernels

Covariance functions and variograms play a fundamental role in exploratory analysis and statistical modelling of spatial and spatio-temporal datasets. In this paper, we construct a new class of spatial covariance functions using the Fourier transform of some higher-order kernels. Moreover, we extend this class of spatial covariance functions to the spatio-temporal setting using the idea used in...

Poset Block Equivalence of Integral Matrices

Given square matrices B and B′ with a poset-indexed block structure (for which an ij block is zero unless i j), when are there invertible matrices U and V with this required-zero-block structure such that UBV = B′? We give complete invariants for the existence of such an equivalence for matrices over a principal ideal domain R. As one application, when R is a field we classify such matrices up ...

Poset Block Equivalence of Integral Matrices 3