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Mathematics
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Application of Multiple Criteria Decision Analysis
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Application of Multiple Criteria Decision Analysis

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 January 2026 | Viewed by 863

Special Issue Editors

Dr. Pavel Anselmo Álvarez

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Guest Editor
Department of Economic and Management Sciences, Universidad Autómoma de Occidente, Culiacan, Mexico
Interests: multiple criteria decision making; group decision making; metaheuristics
Dr. Ernesto León-Castro

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Guest Editor
Administration Department, Universidad Católica de la Santísima Concepción, Alonso de Ribera 2850, Concepción, Chile
Interests: aggregation operators; fuzzy logic; decision making under uncertainty; innovation and finance
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This Special Issue explores the diverse applications of Multiple Criteria Decision Analysis (MCDA) and Multiple Criteria of Decision Making (MCDM) across various fields. Decision making is an integral aspect of human behaviour, involving simple and complex choices depending on the significance of their outcomes. In scenarios where substantial value is at stake, it becomes critical to systematically analyze decision-making processes to identify solutions that fulfil the best compromise.

The study of MCDA and MCDM is a multidisciplinary field due to the diverse variety of methodologies and approaches that enrich it, such as fuzzy sets, exact and approximate optimization methods, algorithms, inferences of parameters or rules, modelling and simulation, soft computing, and others that have been applied in diverse real-world applications.

The contributions in this issue highlight innovative methodologies and case studies that illustrate how MCDA and MCDM can effectively address intricate decision problems. These applications span sectors, including, but not limited to, environmental management, education, healthcare, financial management, risk management, supplier selection, diverse management problems, innovation, sustainable development, and others.

In summary, this Special Issue underscores the importance of MCDA and MCDM as powerful tools for navigating complex decision landscapes. It provides insights and practical examples that can inspire further research and application in various disciplines. We encourage authors to submit original research that tackles decision-making problems from diverse perspectives and approaches.

Dr. Pavel Anselmo Álvarez
Dr. Ernesto León-Castro
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

  • decision making
  • decision analysis
  • decision support systems
  • negotiation and group decision
  • real world applications
  • applications of MCDM
  • non-classical MCDM methods
  • decision rules
  • theories and methodologies
  • modelling and simulation
  • modelling of MCDM
  • fuzzy sets and MCDM
  • fuzziness in MCDM
  • uncertainty
  • soft computing
  • algorithms
  • operational research
  • multi-objective optimization
  • metaheuristics
  • sustainable development
  • management, assessment, or selection
  • innovation

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Published Papers (2 papers)

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Research

14 pages, 838 KB  
Article
Fuzzy TOPSIS Reinvented: Retaining Linguistic Information Through Interval-Valued Analysis
by Abdolhanan Aminoroaya, Abdollah Hadi-Vencheh, Ali Jamshidi and Amir Karbassi Yazdi
Mathematics 2025, 13(17), 2819; https://doi.org/10.3390/math13172819 - 2 Sep 2025
Viewed by 244
Abstract
In real-world decision-making situations, experts often rely on subjective and imprecise judgments, frequently expressed using linguistic terms. While fuzzy logic offers a valuable tool to capture and process such uncertainty, traditional methods often convert fuzzy inputs into crisp values too early in the [...] Read more.
In real-world decision-making situations, experts often rely on subjective and imprecise judgments, frequently expressed using linguistic terms. While fuzzy logic offers a valuable tool to capture and process such uncertainty, traditional methods often convert fuzzy inputs into crisp values too early in the process. This premature defuzzification can result in significant loss of information and reduced interpretability. To address this issue, the present study introduces an enhanced fuzzy TOPSIS model that utilizes expected interval representations instead of early crisp transformation. This approach allows the original fuzzy data to be preserved throughout the analysis, leading to more transparent, realistic, and informative decision outcomes. The practical application of the proposed method is demonstrated through a supplier selection case study, which illustrates the model’s capability to handle real-world, complex, and qualitative decision environments. By explicitly linking the method to this domain, the study provides a concrete anchor for practitioners and decision-makers seeking transparent and robust evaluation tools. Full article
(This article belongs to the Special Issue Application of Multiple Criteria Decision Analysis)
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12 pages, 882 KB  
Article
Classifying Decision Strategies in Multi-Attribute Decision-Making: A Multi-Dimensional Scaling and Hierarchical Cluster Analysis of Simulation Data
by Kazuhisa Takemura, Yuki Tamari and Takashi Ideno
Mathematics 2025, 13(17), 2778; https://doi.org/10.3390/math13172778 - 29 Aug 2025
Viewed by 348
Abstract
Previous studies on decision strategies in multi-attribute decision-making (MADM) have primarily relied on computational simulations to assess strategy performance under varying conditions, with particular emphasis on comparisons to the weighted additive rule (WAD) and on evaluations of the cognitive effort required. In contrast, [...] Read more.
Previous studies on decision strategies in multi-attribute decision-making (MADM) have primarily relied on computational simulations to assess strategy performance under varying conditions, with particular emphasis on comparisons to the weighted additive rule (WAD) and on evaluations of the cognitive effort required. In contrast, considerably less attention has been devoted to examining the consistency of decision outcomes across different strategies or to developing a systematic classification of strategies based on outcome similarity. To address this gap, the present study investigates the characteristics of decision strategies by analyzing the concordance rates of choices made under identical conditions, along with measures of decision accuracy and information-processing effort. We conducted a hierarchical cluster analysis and applied multi-dimensional scaling (MDS) to a choice concordance matrix derived from simulations using the Mersenne Twister method. In addition, linear multiple regression analyses were performed using the MDS coordinates as predictors of both decision accuracy and cognitive effort. The cluster analysis revealed a primary bifurcation between two major groups: one centered around the Disjunctive (DIS) rule, and another encompassing compensatory strategies such as WAD. Notably, although the Lexicographic (LEX) rule is traditionally considered non-compensatory, it exhibited high similarity in choice patterns to compensatory strategies when assessed via concordance rates. In contrast, DIS-based strategies produced markedly distinct choice patterns. Full article
(This article belongs to the Special Issue Application of Multiple Criteria Decision Analysis)
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