scholarly journals METHOD FOR ELIMINATING ANOMALOUS MEASUREMENTS IN ANALYSIS OF THE MULTI-DIMENSIONAL DATABASE IN SOLVING THE DECISION-MAKING PROBLEM

Author(s):  
Maryna Sofronova

The paper proposes a method for eliminating abnormal measurements (outliers) to improve the quality of multivariate data in statistical studies. Such a problem arises, for example, in the theory of managerial decision-making, since when calculating estimates of the parameters of probability distributions, the presence of anomalous (that is, those that significantly increase the confidence interval) measurements in the sample can distort the results of a statistical study, and, consequently, the main problem. The peculiarity of the proposed method is a combination of statistical and geometric methods, namely: the Gestwirt estimation method, the Tukey procedure, and a modification of the method for constructing the convex hull of a finite set of points in a multidimensional space. A set of multidimensional data is associated with a set of points of a multidimensional space. To find and eliminate outliers, a sequence of nested convex hulls, polytopes, is constructed, each of which is described by the intersection of half-spaces (support facets). A detailed algorithm for finding anomalous measurements is given. Their elimination corresponds to the successive elimination of the boundary points of nested convex hulls. The Gestwirt estimate gives the condition for stopping the operation of the algorithm. The proposed method does not require large computational costs and can be widely used in solving both theoretical and practical problems related to the processing of multidimensional data. The numerical results of the method with the number of data components 4 and 5 are presented.

2019 ◽  
Vol 18 (06) ◽  
pp. 1875-1908
Author(s):  
Akshay Hinduja ◽  
Manju Pandey

ERP system is a software package that integrates and manages all the facets of the business and deeply influences the success of a business endeavor. The increasing competition in the market, rapidly changing demands, and increasing intricacy of business procedures induce enterprises to adopt ERP solutions. Adopting an ERP solution increases synchronization between business activities and reinforces managerial decision-making. However, it also involves a large investment, a significant amount of human resources and time, and risk of failure. Therefore, the selection of an ERP solution is a crucial decision for enterprises. To address this decision-making problem, we propose a four-stage multi-criteria decision-making approach in this paper. Three prevalent MCDM techniques, DEMATEL, IF-ANP, and IF-AHP, are used in different stages of the methodology to achieve better outcomes. The methodology incorporates the intuitionistic fuzzy sets to capture uncertainty and hesitancy involved in decision makers’ judgments. In addition, we develop a novel priority method to derive weights from the intuitionistic fuzzy preference relations. To validate the feasibility of the proposed approach, a case study is carried out on the selection of cloud-based ERP system for SMEs in the Chhattisgarh state of India, which indicates that the proposed four-stage approach effectively handles the ERP selection problem.


1986 ◽  
Vol 30 (13) ◽  
pp. 1244-1248
Author(s):  
Robert Robless ◽  
Glen Bottoms ◽  
Mark Lister ◽  
Woodrow Barfield

This article describes an experiment that examined the effects of two versus three-dimensional graphs for two modes of information presentation, paper or computer, for a managerial decision-making problem. The effects of these variables on the problem solving strategies and cognitive styles of experienced and non-experienced decision makers were also examined. The experimental results indicated that solution times were faster for computer than for paper presentations of information, no significant effects for dimensionality were found, and there was no significant correlation between solution time and cognitive styles (visual acuity, Myers-Briggs test) across modes of information presentation.


Author(s):  
E. E. Akimkina

The problems of structuring of indicators in multidimensional data cubes with their subsequent processing with the help of end-user tools providing multidimensional visualization and data management are analyzed; the possibilities of multidimensional data processing technologies for managing and supporting decision making at a design and technological enterprise are shown; practical recommendations on the use of domestic computer environments for the structuring and visualization of multidimensional data cubes are given.


Sign in / Sign up

Export Citation Format

Share Document