human brucellosis is a major health problem in developing countries. a number of patients with human brucellosis do not recover from the acute stage of the disease and pass into the chronic form. since the pathophysiology of this change is not well understood, we studied the t-cell subsets during the acute, subacute and chronic forms of human brucellosis. in this study we found alterations in t...

One of the main open problems in secret sharing is the characterization of the access structures of ideal secret sharing schemes. Brickell and Davenport proved that every one of these ideal access structures is related in a certain way to a unique matroid. Specifically, they are matroid ports. In addition to the search of general results, this difficult open problem has been studied in previous...

In this paper, our purpose is twofold. Firstly, the tensor andresiduum operations on $L-$nested systems are introduced under thecondition of complete residuated lattice. Then we show that$L-$nested systems form a complete residuated lattice, which isprecisely the classical isomorphic object of complete residuatedpower set lattice. Thus the new representation theorem of$L-$subsets on complete re...

In this paper, we construct two fuzzy sets using the notions of level subsets and strong level subsets of a given fuzzy set in a ring R. These fuzzy sets turn out to be identical and provide a universal construction of a fuzzy ideal generated by a given fuzzy set in a ring. Using this construction and employing the technique of strong level subsets, we provide the shortest and direct fuzzy set ...

The main results of this paper were found while addressing the question: what do the “nice” bases for the irreducible representations of semisimple Lie algebras look like? Using the Gelfand-Zetlin bases for the irreducible representations of gl(n,C) as our model, we take a combinatorial approach to this question by associating a certain kind of directed graph to each weight basis for an irreduc...

This paper is concerned with the fast computation of Fourier integral operators of the general form ∫ Rd e f(k)dk, where k is a frequency variable, Φ(x, k) is a phase function obeying a standard homogeneity condition, and f is a given input. This is of interest for such fundamental computations are connected with the problem of finding numerical solutions to wave equations, and also frequently ...

In this paper, we propose three new tensor decompositions for even-order tensors corresponding respectively to the rank-one decompositions of some unfolded matrices. Consequently such new decompositions lead to three new notions of (even-order) tensor ranks, to be called the M-rank, the symmetric M-rank, and the strongly symmetric M-rank in this paper. We discuss the bounds between these new te...

We propose a method called adaptive multiple feature subset (AMFES), which ranks and selects features at a reasonable computation cost. In the AMFES ranking procedure, we conduct an iterative process. At the initial stage, we compute features’ strength (i.e., degree of usefulness) based on various subsets drawn from the pool of all features. We then rank features according to their strength thu...

In many every day situations it can happen that one wants to rank the elements of a group of people having the possibility to observe them collaborating in subgroups. In this paper we propose a general way to get this ranking over the elements of a group N , starting from an arbitrary preference relation over the subsets of N and taking into account the information provided by this ranking over...

In this paper, we present a gene selection method based on genetic algorithm (GA) and support vector machines (SVM) for cancer classification. First, the Wilcoxon rank sum test is used to filter noisy and redundant genes in high dimensional microarray data. Then, the different highly informative genes subsets are selected by GA/SVM using different training sets. The final subset, consisting of ...