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Mathematics, Volume 7, Issue 3

March 2019 - 94 articles

Cover Story: In a local (a unique criterion) AHP-group decision-making context, this picture shows the evolution of the consistency and the compatibility of the successive precise consistent consensus matrices (PCCM) obtained using the iterative algorithm proposed for improving the compatibility of the PCCM. View Paper here.
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Articles (94)

  • Article
  • Open Access
14 Citations
3,434 Views
13 Pages

24 March 2019

Multicriteria correlation preference information (MCCPI) refers to a special type of 2-dimensional explicit information: the importance and interaction preferences regarding multiple dependent decision criteria. A few identification models have been...

  • Article
  • Open Access
2,597 Views
5 Pages

22 March 2019

Let k be an algebraically closed field of prime characteristic and let G be a semisimple, simply connected, linear algebraic group. It is an open problem to find the cohomology of line bundles on the flag variety G / B , where B is a Borel sub...

  • Feature Paper
  • Article
  • Open Access
41 Citations
5,459 Views
22 Pages

The Multivariate Theory of Connections

  • Daniele Mortari and
  • Carl Leake

22 March 2019

This paper extends the univariate Theory of Connections, introduced in (Mortari, 2017), to the multivariate case on rectangular domains with detailed attention to the bivariate case. In particular, it generalizes the bivariate Coons surface, introduc...

  • Article
  • Open Access
21 Citations
3,639 Views
16 Pages

Novel Transformer Fault Identification Optimization Method Based on Mathematical Statistics

  • Zhanlong Zhang,
  • Yongye Wu,
  • Ruixuan Zhang,
  • Peiyu Jiang,
  • Guohua Liu,
  • Salman Ahmed and
  • Zijian Dong

21 March 2019

Most power transformer faults are caused by iron core and winding faults. At present, the method that is most widely used for transformer iron core and winding faults identification is the vibration analysis method. The vibration analysis method gene...

  • Article
  • Open Access
20 Citations
4,474 Views
17 Pages

An Improved Artificial Bee Colony Algorithm Based on Elite Strategy and Dimension Learning

  • Songyi Xiao,
  • Wenjun Wang,
  • Hui Wang,
  • Dekun Tan,
  • Yun Wang,
  • Xiang Yu and
  • Runxiu Wu

21 March 2019

Artificial bee colony is a powerful optimization method, which has strong search abilities to solve many optimization problems. However, some studies proved that ABC has poor exploitation abilities in complex optimization problems. To overcome this i...

  • Article
  • Open Access
14 Citations
3,301 Views
17 Pages

21 March 2019

In multi-scale information systems, the information is often characterized at multi scales and multi levels. To facilitate the computational process of multi-scale information systems, we employ the matrix method to represent the multi-scale informat...

  • Article
  • Open Access
16 Citations
3,327 Views
9 Pages

21 March 2019

This paper is concerned with the estimation of spreading speed of a nonmonotone equation, which involves time delay and nonlocal dispersal. Due to the time delay, this equation does not generate monotone semiflows when the positive initial value is g...

  • Article
  • Open Access
5 Citations
2,997 Views
15 Pages

First Integrals of the May–Leonard Asymmetric System

  • Valery Antonov,
  • Wilker Fernandes,
  • Valery G. Romanovski and
  • Natalie L. Shcheglova

21 March 2019

For the May–Leonard asymmetric system, which is a quadratic system of the Lotka–Volterra type depending on six parameters, we first look for subfamilies admitting invariant algebraic surfaces of degree two. Then for some such subfamilies...

  • Article
  • Open Access
21 Citations
5,043 Views
18 Pages

21 March 2019

New solutions and techniques for developing country policies are used under real conditions. The present study aims to propose a new approach for evaluating and ranking the European countries by using the interrelation between two groups of criteria,...

  • Article
  • Open Access
9 Citations
3,036 Views
13 Pages

Homogeneous Groups of Actors in an AHP-Local Decision Making Context: A Bayesian Analysis

  • Alfredo Altuzarra,
  • Pilar Gargallo,
  • José María Moreno-Jiménez and
  • Manuel Salvador

21 March 2019

The two procedures traditionally followed for group decision making with the Analytical Hierarchical Process (AHP) are the Aggregation of Individual Judgments (AIJ) and the Aggregation of Individual Priorities (AIP). In both cases, the geometric mean...

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Mathematics - ISSN 2227-7390