Numerical evaluation of certain hypersingular integrals using refinable operators

This paper concerns the construction of quadrature rules based on the use of suitable refinable quasi-interpolatory operators, for the numerical evaluation of Hadamard finite-part integrals. Convergence analysis of the obtained rules is developed and numerical examples are included.     

Polynomial expansions of boolean functions in images of nonhomogeneous operators

To represent the functions in terms of which expansions are constructed, the so-called dp-, pt -, and dt -operators are used. The existence of polynomial expansions of Boolean functions in functions obtained by applying heterogeneous operators of the above-mentioned types to a nondegenerate Boolean function is proved. Some methods of finding coefficients of these expansions are also considered. Translated from Kibernetika i Sistemnyi Analiz, No. 3, pp. 40–55, May–June, 2000.     

Memetic algorithms for the job shop scheduling problem with operators

The job-shop scheduling problem with operators (JSO) is an extension of the classic job-shop problem in which an operation must be assisted by one of a limited set of human operators, so it models many real life situations. In this paper we tackle the JSO by means of memetic algorithms with the objective of minimizing the makespan. We define and analyze a neighborhood structure which is then exploited in local search and tabu search algorithms. These algorithms are combined with a conventional genetic algorithm to improve a fraction of the chromosomes in each generation. We also consider two different schedule builders for chromosome decoding. All these elements are combined to obtain memetic algorithms which are evaluated over an extensive set of instances. The results of the experimental study show that they reach high quality solutions in very short time, comparing favorably with the state-of-the-art methods.     

A bibliometric analysis of aggregation operators

Aggregation operators consist of mathematical functions that enable the combining and processing of different types of information. The aim of this work is to present the main contributions in this field by a bibliometric review approach. The paper employs an extensive range of bibliometric indicators using the Web of Science (WoS) Core Collection and Scopus datasets. The work considers leading journals, articles, authors, institutions countries and patterns. This paper highlights that Xu is the most productive author and Yager is the most influential author in the field. Likewise, China is leading the field with many new researchers who have entered the field in recent years. This discipline has been strengthening to create a unique theory and will continue to expand with many new theoretical developments and applications.     

区间值决策系统的局部属性约简

区间值决策系统中已有的属性约简工作主要针对决策属性中所有的决策类。针对区间值决策系统中决策属性的某些特定类,引入了区间值决策系统局部约简的概念,提出了部分决策类约简的判定定理;利用差别矩阵方法研究局部约简的结构,并给出了基于差别矩阵的局部约简算法。通过局部约简的概念对区间值决策系统的全局约简结构进行进一步刻画,讨论了不协调区间值决策系统的局部约简和全局约简之间的关系。最后通过相关实验验证了所提算法的可行性和有效性。     

Some functional inequalities and inclusion relationships associated with certain families of integral operators

By making use of certain familiar integral operators, the authors introduce and investigate several new subclasses of starlike, convex, close-to-convex, and quasi-convex functions. Among other results presented here, the authors establish a number of inclusion relationships associated with some of these integral operators. Some of the results established in this paper would provide extensions of those given in earlier works.     

Local influence assessment in heteroscedastic measurement error models

Functional heteroscedastic measurement error models are investigated aiming to assess the effects of perturbations of data on some inferential procedures. This goal is accomplished by resorting to methods of local influence. The techniques provide to the practitioner a valuable tool that enables to identify potential influential elements and to quantify the effects of perturbations in these elements on results of interest. An illustrative example with a real data set is also reported.     

Ostrowski’s type inequalities for some classes of continuous functions of selfadjoint operators in Hilbert spaces

New Ostrowski’s type inequalities for some classes of continuous functions of selfadjoint operators in Hilbert spaces, under suitable assumptions for the involved operators, are given.     

Domination of ordered weighted averaging operators over t-norms

The fusion of transitive fuzzy relations preserving the transitivity is linked to the domination of the involved aggregation operator. The aim of this contribution is to investigate the domination of OWA operators over t-norms whereas the main emphasis is on the domination over the ukasiewicz t-norm. The domination of OWA operators and related operators over continuous Archimedean t-norms will also be discussed.This work was partly supported by network CEEPUS SK-42, COST Action 274 TARSKI and project APVT 20-023402.     

Local adaptive mechanism and hierarchic social entropy in opinion formation on complex networks

In this paper we study the opinion formation using co-evolution model, in which network's structure interacts with the nodes' opinion. A local adaptive model is proposed to investigate the effects of local information on the opinion formation, including local rewiring and influencing mechanism. The results show that under the local adaptive mechanism, systems could reach steady state of consensus or fragmentation. Considering the local influencing factor only, we find that transition occurs under proper condition and local parameter affects the transition point. At last, the diversity of opinions is considered, and hierarchic social entropy is used as a macroscopic measurement which is proved to be well.     

On the representation of shift-invariant operators by transfer functions

We give simple sufficient conditions on a function space on (0, ∞) to ensure that all shift-invariant operators defined on it are represented by transfer functions. This enables us to extend the result of Weiss on L_p(0, ∞) for 1 p < ∞ (but not p = ∞) to more general situations.     

The minimization of axiom sets characterizing generalized approximation operators

In the axiomatic approach of rough set theory, rough approximation operators are characterized by a set of axioms that guarantees the existence of certain types of binary relations reproducing the operators. Thus axiomatic characterization of rough approximation operators is an important aspect in the study of rough set theory. In this paper, the independence of axioms of generalized crisp approximation operators is investigated, and their minimal sets of axioms are presented.     

An approximation technique for central server queueing models with a priority dispatching rule

An approximation technique to solve central server queueing models with a priority dispatching rule is described in this paper. This technique reduces the problem size by aggregating I/O activities and combining different classes into a smaller number of classes, so that the reduced problem can be solved numerical examples considered, throughputs and mean CPU queue sizes calculated by the approximation differ from simulation results by less than 15 percent.     

Convergence of SP iterative scheme with mixed errors for accretive Lipschitzian and strongly accretive Lipschitzian operators in Banach spaces

In this paper, we study the strong convergence of SP iterative scheme with mixed errors for the accretive Lipschitzian and strongly accretive Lipschitzian operators in Banach spaces. We show that this iterative scheme is almost stable for both types of operators. Moreover, with the help of computer programs in C++, comparison between SP, Ishikawa and Noor iterative schemes with errors is also shown for both types of operators through examples.     

Local likelihood regression in generalized linear single-index models with applications to microarray data

Searching for an effective dimension reduction space is an important problem in regression, especially for high-dimensional data such as microarray data. A major characteristic of microarray data consists in the small number of observations n and a very large number of genes p. This “large p, small n” paradigm makes the discriminant analysis for classification difficult. In order to offset this dimensionality problem a solution consists in reducing the dimension. Supervised classification is understood as a regression problem with a small number of observations and a large number of covariates. A new approach for dimension reduction is proposed. This is based on a semi-parametric approach which uses local likelihood estimates for single-index generalized linear models. The asymptotic properties of this procedure are considered and its asymptotic performances are illustrated by simulations. Applications of this method when applied to binary and multiclass classification of the three real data sets Colon, Leukemia and SRBCT are presented.     

Complexity classes in models of cellular computing with membranes

In this paper we introduce four complexity classes for cellularcomputing systems with membranes: the first and the second ones containall decision problems solvable in polynomial time by a family ofdeterministic P systems, without and with an input membrane,respectively; the third and fourth classes contain all decision problemssolvable in polynomial time by a family of non-deterministic P systems,without and with an input membrane, respectively. We illustrate theusefulness of these classes by solving two NP–completeproblems, namely HPP and SAT, in both variants of Psystems.     

An epidemiological study of low-back pain in crane operators

Abstract

A survey among workers in a steel factory was conducted to determine the risk for low-back pain (LBP) among male crane operators. Crane operators (n = 33) were matched for age with male control workers (n = 30)p and examined for frequency and nature of LBP by the on-site medical service. Comparison between crane operators and controls showed a statistically significant odds ratio for LBP of 3-6. Although crane operators had been exposed more often to backstraining factors in previous occupations, in the employed logistic analysis only their current job explained the elevated occurrence of LBP. It is suggested that workers in sedentary position with exposure to whole-body vibration are at special risk for LBP. The results of this study provide evidence to strongly recommend persons with a history of back complaints not to seek employment as crane operators.     

层次结构综合评判中各种递结算子保序性研究

针对综合评判方法中常用的层次分析法。在分析常见逆序问题的基础上。提出层次分析法的递结算子的概念。给出满足严格保序性的5个基本条件．对常见递结算子（权重综合评判算子）的保序性进行研究,并证明加权乘积法是符合所有5种保序条件的算子,为综合评价方法中递结算子的合理选择提供了依据．     

关系代数派生算子语义表达式间等价性证明

关系代数的派生算子在关系数据库查询语言中得到了广泛应用。它们的语义有两种常见的表示方式,一种是基于原始算子的表达式,一种是基于一阶逻辑的表达式。但有关的文献资料都没有给出这两种表达式等价性的严格证明。文章尝试通过一系列等价变换,证明派生算子语义的这两种表达式间的等价性。从派生算子(主要是除算子)语义的原始算子表达式出发,根据关系代数表达式的特点,通过一步步的等价变换,得到派生算子语义的一阶逻辑表达式。所使用的变换方法能为关系代数表达式的正确性证明打下基础。