Special Issue "Mathematical Modelling and Hybrid Strategies for Risk and Uncertainty Management"

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematics and Computer Science".

Deadline for manuscript submissions: 31 December 2021.

Special Issue Editors

Prof. Dr. Svajonė Bekešienė
E-Mail Website
Guest Editor
Research Group on Logistics and Defence Technology Management at Lithuanian Military Academy, Silo 5a, 10322 Vilnius, Lithuania
Interests: multi-purpose decision-making tasks; mathematical modeling; advances in theoretical mathematics and statistics (structural equation modeling); fuzzy logic
Prof. Dr. Ieva Meidutė-Kavaliauskienė
E-Mail Website
Guest Editor
Head of the Research Group on Logistics and Defense Technology Management ofGeneral Jonas Žemaitis Military Academy of Lithuania, Šilo st. 5A, LT-10322 Vilnius, Lithuania
Interests: logistics; supply chain management; modelling; integrating processes; 3 PL
Special Issues and Collections in MDPI journals

Special Issue Information

Dear Colleagues,

Risk management is a decision-making process that takes into consideration political, social, economic and engineering factors, with relevant risk assessments relating to a potential hazard. Mathematics uses reasoned theories, computational techniques, algorithms, and the latest computer technologies to solve the problems arising from various fields, such as economics, engineering, business and social sciences. Mathematics also focuses on problems coming from the industry, and creates solutions relevant to the industry, including finding the most efficient and cost-effective way to solve these problems. It allows the development, analysis and comparison of regulatory options, as well as the selection of the optimal regulatory response for safety from that hazard.

Reliability engineering and risk management have been attracting increasing amounts of attention, and are of growing importance in civil, mechanical, aerospace and aeronautics, offshore and marine engineering, as well as in many other disciplines of engineering. Against this background, the aim of this Special Issue is to bring scientists all over the world together to present their research on innovative methodologies, and the practical applications of these technologies in the field of reliability engineering and risk management. Emerging concepts, as well as the state of the art and novel applications of reliability principles and risk-based decision-making in all types of structures, infrastructures and mechanical systems, will be emphasized within the scope of the issue. In this context, articles on theories, methods, algorithms and applications are all welcome.

This special issue focuses on the characterization of uncertainties and the development of risk assessment models for the essential infrastructures in different areas of life. Both practical applications for reliability-based design code calibration and quantitative risk assessment, and novel methodological developments, including emerging areas, such as machine learning and artificial intelligence, are included to provide a reliable method for multifaceted risk assessment. We invite you to contribute and submit your latest research work. 

Prof. Dr. Svajonė Bekešienė
Prof. Dr. Ieva Meidute-Kavaliauskiene
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Bayesian methods
  • Damage analysis and assessment
  • Decision analysis
  • Nonlinear models
  • Stochastic dynamics and controls
  • Structural health monitoring
  • Risk assessment models
  • Socioeconomic aspects of resilience and sustainability
  • Maintenance strategy based on risk cost optimization

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

Article
A New Grey Approach for Using SWARA and PIPRECIA Methods in a Group Decision-Making Environment
Mathematics 2021, 9(13), 1554; https://doi.org/10.3390/math9131554 - 01 Jul 2021
Cited by 1 | Viewed by 435
Abstract
The environment in which the decision-making process takes place is often characterized by uncertainty and vagueness and, because of that, sometimes it is very hard to express the criteria weights with crisp numbers. Therefore, the application of the Grey System Theory, i.e., grey [...] Read more.
The environment in which the decision-making process takes place is often characterized by uncertainty and vagueness and, because of that, sometimes it is very hard to express the criteria weights with crisp numbers. Therefore, the application of the Grey System Theory, i.e., grey numbers, in this case, is very convenient when it comes to determination of the criteria weights with partially known information. Besides, the criteria weights have a significant role in the multiple criteria decision-making process. Many ordinary multiple criteria decision-making methods are adapted for using grey numbers, and this is the case in this article as well. A new grey extension of the certain multiple criteria decision-making methods for the determination of the criteria weights is proposed. Therefore, the article aims to propose a new extension of the Step-wise Weight Assessment Ratio Analysis (SWARA) and PIvot Pairwise Relative Criteria Importance Assessment (PIPRECIA) methods adapted for group decision-making. In the proposed approach, attitudes of decision-makers are transformed into grey group attitudes, which allows taking advantage of the benefit that grey numbers provide over crisp numbers. The main advantage of the proposed approach in relation to the use of crisp numbers is the ability to conduct different analyses, i.e., considering different scenarios, such as pessimistic, optimistic, and so on. By varying the value of the whitening coefficient, different weights of the criteria can be obtained, and it should be emphasized that this approach gives the same weights as in the case of crisp numbers when the whitening coefficient has a value of 0.5. In addition, in this approach, the grey number was formed based on the median value of collected responses because it better maintains the deviation from the normal distribution of the collected responses. The application of the proposed approach was considered through two numerical illustrations, based on which appropriate conclusions were drawn. Full article
Show Figures

Figure 1

Back to TopTop