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Mathematics
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Advances in Decision Analysis and Optimization Methods
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Advances in Decision Analysis and Optimization Methods

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "D2: Operations Research and Fuzzy Decision Making".

Deadline for manuscript submissions: closed (31 May 2025) | Viewed by 1409

Special Issue Editor

Dr. Yajie Dou

E-Mail Website
Guest Editor
College of Systems Engineering, National University of Defence Technology, Changsha, China
Interests: decision analysis; combination optimization; complex system integrated technology

Special Issue Information

Dear Colleagues,

We would like to invite you to contribute to this Special Issue titled Advances in Decision Analysis and Optimization Methods with an original research article or a comprehensive review. We welcome submissions that address both theoretical research and practical applications of decision analysis and optimization in complex systems. With the widespread adoption of Internet technology, digitization and intelligence are advancing rapidly. Emerging technologies such as artificial intelligence, digital twins, cloud computing, and the Internet of Things are expected to be key drivers of scientific and technological progress in the coming decade, with broad applications across engineering, social, economic, and military domains. In the current era of "digital intelligence", the scope, methods, and objectives of decision-making processes have significantly expanded. Consequently, there is an urgent need to develop new paradigms and theories to address the decision-making and optimization challenges posed by complex cyber–physical systems and human–machine hybrid intelligent systems.

Dr. Yajie Dou
Guest Editor

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

  • complex system
  • human-machine collaborative decision-making
  • large-scale group decision-making
  • fuzzy multi-attribute decision-making
  • intelligent decision technology
  • uncertainty optimization
  • combination optimization
  • project cluster optimization
  • hybrid enhanced intelligence
  • evidence reasoning decision-making
  • complex networks decision-making

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Further information on MDPI's Special Issue policies can be found here.

Published Papers (2 papers)

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Research

28 pages, 490 KiB  
Article
Decision-Theoretic Rough Sets for Three-Way Decision-Making in Dilemma Reasoning and Conflict Resolution
by Junren Luo, Wanpeng Zhang, Jiongming Su and Jing Chen
Mathematics 2025, 13(13), 2111; https://doi.org/10.3390/math13132111 - 27 Jun 2025
Viewed by 208
Abstract
A conflict is a situation where multiple stakeholders have different evaluations over possible scenarios or states. Conflict analysis is an essential tool for understanding and resolving complex conflicts, especially in scenarios involving multiple stakeholders and uncertainties. Confrontation analysis (ConAna) and graph model for [...] Read more.
A conflict is a situation where multiple stakeholders have different evaluations over possible scenarios or states. Conflict analysis is an essential tool for understanding and resolving complex conflicts, especially in scenarios involving multiple stakeholders and uncertainties. Confrontation analysis (ConAna) and graph model for conflict resolution (GMCR) have been integrated for dilemma reasoning and conflict resolution in region crisis analysis. This paper discusses the application of decision-theoretic rough sets (DTRS) to three-way decisions (3WD) in dilemma reasoning and conflict resolution. Three-way decisions are a strategy for making decisions under uncertain conditions, which compensates for the shortcomings of traditional two-way decisions (such as accept or reject) by introducing a “delayed decision” option. In terms of dilemma reasoning, we try to address incomplete or conflicting information and provide a more reasonable decision path for decision-makers through comprehensive evaluation of multi-criteria. In terms of conflict resolution, the DTRS model seeks a compromising solution that is acceptable to all parties by analyzing the game relationship between different stakeholders. The DTRS model combines decision-making theory and rough set theory to determine the balanced decision region by constructing a game between multiple criteria. This dynamic integration is of great significance for the study of complex international conflicts, providing a cross-disciplinary perspective for related research. In this paper, we demonstrate the application of DTRS in 3WD and discuss the relationship between DTRS and probabilistic rough sets. The research shows that the DTRS model has significant advantages in dealing with complex decision problems and can effectively deal with the conflicts and uncertainties in multi-criteria decision-making. Full article
(This article belongs to the Special Issue Advances in Decision Analysis and Optimization Methods)
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18 pages, 296 KiB  
Article
Probabilistic Linguistic TODIM Method with Probabilistic Linguistic Entropy Weight and Hamming Distance for Teaching Reform Plan Evaluation
by Wenshuai Wu
Mathematics 2024, 12(22), 3520; https://doi.org/10.3390/math12223520 - 11 Nov 2024
Cited by 2 | Viewed by 778
Abstract
In the context of the construction of new liberal arts, the integration and intersection of disciplines have become a new trend in the development of higher education. How to promote the teaching reform of big data technology and application courses in the new [...] Read more.
In the context of the construction of new liberal arts, the integration and intersection of disciplines have become a new trend in the development of higher education. How to promote the teaching reform of big data technology and application courses in the new liberal arts construction scenario has become an important issue in enhancing students’ digital talent literacy and social adaptability. In this study, an extended probabilistic linguistic TODIM (an acronym in Portuguese for interactive multi-criteria decision making) with probabilistic linguistic entropy weight and Hamming distance is presented for teaching reform plan evaluation for the core course “big data technology and applications” in the digital economy major. Firstly, probabilistic linguistic entropy weight, based on the entropy of the additive linguistic term set, is applied to generate weight information. Secondly, parameter sensitivity analysis is carried out to prove the stabilization and effectiveness of the extended TODIM approach. Thirdly, this extended approach can integrate the psychological factors and cognitive behaviors of decision-makers for effectively responding to education management in the new liberal arts construction scenario. Finally, a case study on teaching reform plan evaluation is carried out, and a comparative analysis with different criteria weights and different methods is conducted to verify the extended approach. The results indicate that the extended approach can provide an effective technical tool for scientific decision-making, especially in the teaching reform plan evaluation scenario in order to promote high-quality development of education. Full article
(This article belongs to the Special Issue Advances in Decision Analysis and Optimization Methods)
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