Advanced Intelligent Algorithms for Decision Making under Uncertainty

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: 31 December 2025 | Viewed by 1633

Special Issue Editors


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Guest Editor
Faculty of Natural Sciences, “Prof. Asen Zlatarov” University, Burgas 8000, Bulgaria
Interests: fuzzy set theory; matrix algebra; decision making; fuzzy logic

E-Mail Website
Guest Editor
Faculty of Natural Sciences, “Prof. Asen Zlatarov” University, Burgas 8000, Bulgaria
Interests: intuitionistic fuzzy logic; intuitionistic fuzzy statistics; intuitionistic fuzzy modeling; index matrices

Special Issue Information

Dear Colleagues,

In the ever-evolving landscape of technology and data, decision-making processes are increasingly confronted with uncertainty. The present Special issue “Advanced Intelligent Algorithms for Decision Making Under Uncertainty” aims to gather the most recent and notable studies in intelligent algorithms designed to navigate and optimize decision-making under uncertain conditions. These algorithms leverage machine learning, artificial intelligence, statistical methods, data analytics, numerical and optimization methods for large-scale problems, and computational techniques to provide robust solutions in diverse fields such as industry, finance, healthcare, engineering, and logistics.

The growing challenges and complexity of business the environment created difficulties in making management decisions related to the inability to efficiently and effectively predict the business results of economic processes. An environment with a high intensity of changes determining decisions, taken in uncertain situations caused by unpredictability in the behavior of competition, political instability, inflation and demographic collapse, uncertainty at the local, regional and global level. Management faces inaccurate limitations due to inability to sense and detect continuous changes in the influence of environmental factors. Management in the business environment with many instability and unreliability. Managers get into stressful situations, take decisions at risk, with scarce and inaccurate information, even forced by constant changing circumstances to decide even in conditions of absence of information. The idea is to stimulate the development of modern alternatives for optimal and efficient business management in an uncertain business environment.

The topics of interest include, but are not limited to:

  • Intuitionistic fuzzy logic and its applications in decision-making problems.
  • Development and application of intelligent algorithms in decision-making.
  • Optimization techniques for uncertain decision problems
  • Machine learning and AI methodologies enhancing decision models under uncertainty
  • Probabilistic models and inference
  • Predictive analytics and data-driven decision-making approaches
  • Stochastic processes and simulations
  • Theoretical models and computational techniques for decision support under uncertainty.
  • Algorithmic strategies for improving decision efficiency and accuracy.
  • Real-world applications of intelligent decision models in various sectors such as industry, healthcare, finance, engineering, and logistics.
  • Computational algorithms for large-scale problems.

Dr. Stoyan Tranev
Dr. Velichka Traneva
Guest Editors

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Keywords

  • artificial intelligence
  • decision support systems
  • data analytics
  • intelligent algorithms
  • intuitionistic fuzzy logic
  • large-scale problems
  • machine learning
  • numerical methods
  • optimization
  • predictive analytics
  • probabilistic models
  • stochastic processes
  • uncertainty quantification

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Published Papers (3 papers)

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Research

45 pages, 12946 KiB  
Article
Emphasizing Grey Systems Contribution to Decision-Making Field Under Uncertainty: A Global Bibliometric Exploration
by Andra Sandu, Paul Diaconu, Camelia Delcea and Adrian Domenteanu
Mathematics 2025, 13(8), 1278; https://doi.org/10.3390/math13081278 - 13 Apr 2025
Viewed by 208
Abstract
Grey systems are applied in numerous domains, proving a high efficiency in predicting and investigating complex systems, where data is insufficient, unknown, or partially known. The systems have a strong contribution in the decision-making field under uncertainty, by identifying the connection between variables [...] Read more.
Grey systems are applied in numerous domains, proving a high efficiency in predicting and investigating complex systems, where data is insufficient, unknown, or partially known. The systems have a strong contribution in the decision-making field under uncertainty, by identifying the connection between variables and optimizing the process of choosing the strategies. With time, the methods offered by the grey systems theory have faced a continuous adoption process in various research fields associated with decision-making. In this context, this paper aims to provide an in-depth bibliometric exploration, focusing on a filtered dataset, gathered from Clarivate Analytics’ Web of Science Core Collection database (WoS) for the purpose of better highlighting the adoption process faced by grey systems theory in the decision-making field under uncertainty. Based on the extracted dataset, the value registered for the annual growth rate is 17.1%, proving that the scientific community’s focus in this field is significant, and it has maintained academics’ interest for a long time. Also, the results of the bibliometric analysis showed that the Journal of Grey System was the most relevant source, while Sifeng Liu provided the greatest contribution to the field based on the number of published papers. Nanjing University of Aeronautics and Astronautics is ranked first in the top of most relevant affiliation based on the number of published papers, while China—the homeland of grey systems theory—assumes the leading contributor country place. The review of the top 10 most cited papers revealed the advantages of using grey systems theory in decision-making field under uncertainty. Full article
(This article belongs to the Special Issue Advanced Intelligent Algorithms for Decision Making under Uncertainty)
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24 pages, 464 KiB  
Article
Probabilistic Linguistic Multiple Attribute Group Decision-Making Based on a Choquet Operator and Its Application in Supplier Selection
by Weijia Kang, Xin Liang and Yan Peng
Mathematics 2025, 13(5), 740; https://doi.org/10.3390/math13050740 - 25 Feb 2025
Viewed by 319
Abstract
As an enhanced version of traditional linguistic term sets, Probabilistic Linguistic Term Sets (PLTS) incorporate probabilistic information, thereby offering a more robust approach to Multiple Attribute Group Decision-Making (MAGDM) and significantly improving its efficacy. This paper proposes two novel information aggregation operators for [...] Read more.
As an enhanced version of traditional linguistic term sets, Probabilistic Linguistic Term Sets (PLTS) incorporate probabilistic information, thereby offering a more robust approach to Multiple Attribute Group Decision-Making (MAGDM) and significantly improving its efficacy. This paper proposes two novel information aggregation operators for PLTS to address MAGDM problems in the PLTS context. Firstly, we introduce Choquet integral-based generalized arithmetic and geometric operators, which are designed to fuse decision information expressed by different PLTSs, thereby more comprehensively considering the interrelationships among various attributes. Subsequently, we further define measures of group consistency and inconsistency for individual decision information in MAGDM, which are used to determine the information weights of decision-makers. Finally, the group decision information is aggregated using the proposed PLTS aggregation operators. The effectiveness as well as the applicability of the developed method are illustrated through numerical examples and comparative analysis. Full article
(This article belongs to the Special Issue Advanced Intelligent Algorithms for Decision Making under Uncertainty)
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24 pages, 420 KiB  
Article
A Group Consensus Measure That Takes into Account the Relative Importance of the Decision-Makers
by József Dombi, Jenő Fáró and Tamás Jónás
Mathematics 2025, 13(3), 526; https://doi.org/10.3390/math13030526 - 5 Feb 2025
Cited by 1 | Viewed by 576
Abstract
In group decision making, the knowledge, skills, and experience of the decision-makers may not be at the same level. Hence, the need arises to take into account not only the opinion, but also the relative importance of the opinion of each decision-maker. These [...] Read more.
In group decision making, the knowledge, skills, and experience of the decision-makers may not be at the same level. Hence, the need arises to take into account not only the opinion, but also the relative importance of the opinion of each decision-maker. These relative importance values can be treated as weights. In a group decision making situation, it is not only the weighted aggregate output that matters, but also the weighted measure of the group consensus. Noting that weighted group consensus measures have not yet been intensely studied, in this study, based on well-known requirements for non-weighted consensus measures, we define six reasonable requirements for the weighted case. Then, we propose a function family and prove that it satisfies the above requirements for a weighted consensus measure. Hence, the proposed measure can be used in group decision making situations where the decision-makers have various weight values that reflect the relative importance of their opinions. The proposed weighted consensus measure is based on the fuzziness degree of the decumulative distribution function of the input scores, taking into account the weights. Hence, it may be viewed as a weighted adaptation of the so-called fuzziness measure-based consensus measure. The novel weighted consensus measure is determined by a fuzzy entropy function; i.e., this function may be regarded as a generator of the consensus measure. This property of the proposed weighted consensus measure family makes it very versatile and flexible. The nice properties of the proposed weighted consensus measure family are demonstrated by means of concrete numerical examples. Full article
(This article belongs to the Special Issue Advanced Intelligent Algorithms for Decision Making under Uncertainty)
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