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Mathematics
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Applied Mathematics in Blockchain and Intelligent Systems
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Applied Mathematics in Blockchain and Intelligent Systems

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E1: Mathematics and Computer Science".

Deadline for manuscript submissions: closed (30 September 2024) | Viewed by 5285

Special Issue Editors

Dr. Xiaofeng Ma

E-Mail Website
Guest Editor
School of Electronic and Information Engineering, Tongji University, Shanghai 201804, China
Interests: blockchain; smart contact; intelligent systems; distributed decision-making systems
Prof. Dr. Yan Zhu

E-Mail Website
Guest Editor
School of Computer and Communication Engineering, University of Science and Technology, Beijing 100871, China
Interests: information security; blockchain and smart contracts; cloud computing; code legalization; algebra and cryptography; secure computing

Special Issue Information

Dear Colleagues,

Blockchain is a shared and immutable ledger. Throughout the process of blockchain, from transaction initiation and confirmation to reaching a consensus across the entire network, mathematical algorithms serve as rules and communication tools, achieving coordinated actions among nodes. It can be said that mathematics has built the cornerstone of trust in blockchain.

At present, blockchain has extended from original cryptocurrencies to various fields such as finance, healthcare, energy management, and supply chain, which facilitate new ways of collaboration and value exchange among multi-entities. Especially with the development of the intelligent systems, the need for data is becoming increasingly urgent. Blockchain’s digital record offers the provenance of the data, which helps allocate appropriate gain to data providers and enhance people's trust in decision making. Moreover, smart contracts have been making advanced progress, supporting several industries, and causing business processes to eliminate friction and improve efficiency. Along with these developments and advantages, the research demands of applied mathematics in blockchain and intelligent systems are evolving in terms of scalability, security, privacy, efficiency, availability and flexibility, which brings a host of challenges and opportunities for research communities.

This Special Issue aims to gather novel, original research articles and reviews that present up-to-date mathematical applications in blockchain and intelligent systems which are able to respond to the challenges of security, privacy and trust, etc.

We are looking forward to receiving your contributions.

Dr. Xiaofeng Ma
Prof. Dr. Yan Zhu
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 submissions that pass pre-check are 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 2600 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

  • theories of blockchain-based intelligent systems
  • distributed consensus mechanisms
  • distributed identities (DID)
  • smart contract
  • smart contract-embedded intelligent systems
  • security and privacy of blockchain systems
  • cross-chain algorithm and technologies
  • scalabilities of blockchain
  • vulnerabilities of blockchain
  • protocols and algorithms based on blockchain
  • simulation methods of blockchain-based intelligent systems
  • blockchain and artificial intelligence (AI)
  • blockchain and internet of things (IoT)
  • blockchain and web3.0 technologies
  • blockchain-based intelligent system innovative applications

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Published Papers (3 papers)

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Research

16 pages, 672 KiB  
Article
A Blockchain-Based Access Control System for Secure and Efficient Hazardous Material Supply Chains
by Yi Dai, Gehao Lu and Yijun Huang
Mathematics 2024, 12(17), 2702; https://doi.org/10.3390/math12172702 - 30 Aug 2024
Viewed by 1793
Abstract
With the rapid expansion of global trade, the complexity and diversification of supply chains have become increasingly significant. In particular, the supply chain for hazardous materials, involving chemicals and explosives, requires stringent regulation. Managing the flow of these high-risk goods necessitates a reliable [...] Read more.
With the rapid expansion of global trade, the complexity and diversification of supply chains have become increasingly significant. In particular, the supply chain for hazardous materials, involving chemicals and explosives, requires stringent regulation. Managing the flow of these high-risk goods necessitates a reliable access control system to ensure safety and compliance. Traditional supply chain management systems often rely on centralized databases and record-keeping systems, which are prone to tampering and single points of failure, making them inadequate for current high-security demands. This paper combines blockchain technology with a hazardous materials supply chain model. In the blockchain network, our innovation lies in the introduction of a transaction coordinator to create transaction sets for each supply chain entity along with smart contracts to implement access control for these transaction sets. We also propose a new hazardous materials supply chain model architecture and conduct experimental verification using simulated hazardous materials supply chain data. Our experimental results show that the proposed method performs excellently in throughput and latency tests, demonstrating the potential to enhance the efficiency and security of supply chain management. Full article
(This article belongs to the Special Issue Applied Mathematics in Blockchain and Intelligent Systems)
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23 pages, 860 KiB  
Article
An Enhanced Credit Risk Evaluation by Incorporating Related Party Transaction in Blockchain Firms of China
by Ying Chen, Lingjie Liu and Libing Fang
Mathematics 2024, 12(17), 2673; https://doi.org/10.3390/math12172673 - 28 Aug 2024
Viewed by 929
Abstract
Related party transactions (RPTs) can serve as channels for the spread of credit risk events among blockchain firms. However, current credit risk-assessment models typically only consider a firm’s individual characteristics, overlooking the impact of related parties in the blockchain. We suggest incorporating RPT [...] Read more.
Related party transactions (RPTs) can serve as channels for the spread of credit risk events among blockchain firms. However, current credit risk-assessment models typically only consider a firm’s individual characteristics, overlooking the impact of related parties in the blockchain. We suggest incorporating RPT network analysis to improve credit risk evaluation. Our approach begins by representing an RPT network using a weighted adjacency matrix. We then apply DANE, a deep network embedding algorithm, to generate condensed vector representations of the firms within the network. These representations are subsequently used as inputs for credit risk-evaluation models to predict the default distance. Following this, we employ SHAP (Shapley Additive Explanations) to analyze how the network information contributes to the prediction. Lastly, this study demonstrates the enhancing effect of using DANE-based integrated features in credit risk assessment. Full article
(This article belongs to the Special Issue Applied Mathematics in Blockchain and Intelligent Systems)
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20 pages, 602 KiB  
Article
Blockchain-Based Unbalanced PSI with Public Verification and Financial Security
by Zhanshan Wang and Xiaofeng Ma
Mathematics 2024, 12(10), 1544; https://doi.org/10.3390/math12101544 - 15 May 2024
Cited by 2 | Viewed by 1596
Abstract
Private set intersection (PSI) enables two parties to determine the intersection of their respective datasets without revealing any information beyond the intersection itself. This paper particularly focuses on the scenario of unbalanced PSI, where the sizes of datasets possessed by the parties can [...] Read more.
Private set intersection (PSI) enables two parties to determine the intersection of their respective datasets without revealing any information beyond the intersection itself. This paper particularly focuses on the scenario of unbalanced PSI, where the sizes of datasets possessed by the parties can significantly differ. Current protocols for unbalanced PSI under the malicious security model exhibit low efficiency, rendering them impractical in real-world applications. By contrast, most efficient unbalanced PSI protocols fail to guarantee the correctness of the intersection against a malicious server and cannot even ensure the client’s privacy. The present study proposes a blockchain-based unbalanced PSI protocol with public verification and financial security that enables the client to detect malicious behavior from the server (if any) and then generate an irrefutable and publicly verifiable proof without compromising its secret. The proof can be verified through smart contracts, and some economic incentive and penalty measures are executed automatically to achieve financial security. Furthermore, we implement the proposed protocol, and experimental results demonstrate that our scheme exhibits low online communication complexity and computational overhead for the client. At the same time, the size of the generated proof and its verification complexity are both O(logn), enabling cost-effective validation on the blockchain. Full article
(This article belongs to the Special Issue Applied Mathematics in Blockchain and Intelligent Systems)
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