Isham’s topos-theoretic perspective on the logic of the consistent-histories theory [34] is extended in two ways. First, the presheaves of consistent sets of history propositions in their corresponding topos originally proposed in [34] are endowed with a Vietoristype of topology and subsequently they are sheafified with respect to it. The category resulting from this sheafification procedure is...

This paper focuses on the estimation of low-complexity signals when they are observed through M uniformly quantized compressive observations. Among such signals, we consider 1-D sparse vectors, low-rank matrices, or compressible signals that are well approximated by one of these two models. In this context, we prove the estimation efficiency of a variant of Basis Pursuit Denoise, called Consist...

A phenomenological method based on the natural orbital representation is applied to construct the ground state one-body density matrix which describes correctly both density and momentum distributions in He, O and Ca nuclei. The parameters of the matrix are fixed by a best fit to the experimental density distribution and to the correlated nucleon momentum distribution. The method allows the nat...

background: immunoradiometric assay is one of the most common and precise methods for determination of prostate specific antigen (psa) in clinical laboratories. usual use of human serum in routine assays has many disadvantages such as easy contamination and precipitation, instability and unavailability. thus in order to avoid these problems the artificial matrix was used which acts similar to h...

AHP (Analytic Hierarchy Process) has been widely used in decision making. Inner dependence method AHP is one technique even in case of criteria have dependency. However using original AHP or Inner dependence method, the results often lose reliability because the comparison matrix does not always have sufficient consistency. In these cases, fuzzy representation for weighting criteria and alterna...

In the field of decision-making, the concept of priority is archetypal and how priorities are derived influence the choices one makes. Priorities should not only be unique but should also reflect the dominance of the order expressed in the judgments of pair wise comparison matrix. In addition, judgments are much more sensitive and responsive to small perturbations. They are highly related to th...

We apply methods of tropical optimization to handle problems of rating alternatives on the basis of the log-Chebyshev approximation of pairwise comparison matrices. We derive a direct solution in a closed form, and investigate the obtained solution when it is not unique. Provided the approximation problem yields a set of score vectors, rather than a unique (up to a constant factor) one, the set...

In several methods of multiattribute decision making, pairwise comparison matrices are applied to derive implicit weights for a given set of decision alternatives. A class of the approaches is based on the approximation of the pairwise comparison matrix by a consistent matrix. In the paper this approximation problem is considered in the least-squares sense. In general, the problem is nonconvex ...

We address the collective matrix completion problem of jointly recovering a collection of matrices with shared structure from partial (and potentially noisy) observations. To ensure well– posedness of the problem, we impose a joint low rank structure, wherein each component matrix is low rank and the latent space of the low rank factors corresponding to each entity is shared across the entire c...

There are many priority deriving methods for pairwise comparison matrices. It is known that when these matrices consistent all result in the same vector. However, they inconsistent, results may vary. The presented work formulates an estimation of difference between vectors two most popular ranking methods: eigenvalue method and geometric mean method. provided refers to inconsistency matrix. The...