The INLAMSM package for the R programming language provides a collection of multivariate spatial models lattice data that can be used with INLA Bayesian inference. implemented include different structures to model variation variables and between-variables variability. In this way, fitting becomes faster easier. use included in is illustrated using two datasets: well-known North Carolina SIDS mo...

We study L-categories of lattice-valued convergence spaces. Suchcategories are obtained by fuzzifying" the axioms of a lattice-valued convergencespace. We give a natural example, study initial constructions andfunction spaces. Further we look into some L-subcategories. Finally we usethis approach to quantify how close certain lattice-valued convergence spacesare to being lattice-valued topologi...

We show that the lattice of compactifications of a topological group $G$ is a complete lattice which is isomorphic to the lattice of all closed normal subgroups of the Bohr compactification $bG$ of $G$. The correspondence defines a contravariant functor from the category of topological groups to the category of complete lattices. Some properties of the compactification lattice of a topological ...

Di erences between lattice Monte Carlo data and perturbation theory (for example the lack of asymptotic scaling) are usually associated with the `bad' behaviour of the bare lattice coupling g0 due to the e ects of large (and unknown) higher order terms in g0. In this philosophy a new, renormalised coupling g 0 is de ned with the aim of making the higher order coe cients of the perturbative seri...

In this article, we develop Markov random field models for multivariate lattice data. Specific attention is given to building models that incorporate general forms of the spatial correlations and cross-correlations between variables at different sites. The methodology is applied to the problem of environmental equity. Using a Bayesian hierarchical model that is multivariate in form, we examine ...

this paper extends the notion of ditopology to the case where openness and closedness are given in terms of {em a priori} unrelated drading functions. the resulting notion of graded ditopology is considered both in the setting of lattices and in that textures, the relation between the two approaches being discussed in detail. interrelations between graded ditopologies and ditopologies on textur...

Environmental problems often include data that are not only spatial in nature, but also multidimensional with several measurements recorded at each spatial location. One example is the assessment of environmental equity. Figure 1 show maps of St. James Parish, Louisiana, with counts of whites and minorities for each of the twenty census block groups overlaid with the location of the facilities ...

Updating a concept lattice when introducing new objects to input data can be done by any of the so-called incremental algorithms for computing concept lattice of the data. The algorithms use and update the lattice while introducing new objects one by one. The present concept lattice of input data without the new objects is thus required before the update. In this paper we propose an efficient a...