Advances in Operations Research: Applications in MCDA, Fuzzy Systems, DEA and Optimization

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: 3 February 2026 | Viewed by 1217

Special Issue Editors


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Departamento de Ingeniería Industrial y de Sistemas, Facultad de Ingeniería, Universidad de Tarapacá, Arica 1000000, Chile
Interests: MCDA; fuzzy sets; SCM; mathematical modelling
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Getulio Vargas Foundation, EBAPE—Brazilian School of Public and Business Administration, Rio de Janeiro, Brazil
Interests: health; data analysis

Special Issue Information

Dear Colleagues,

The modelling of real-world decision-making and optimization problems involves the application of Operations Research methods, which require the use of tools such as MCDA, fuzzy systems, DEA and optimization techniques. These methodologies have found application in economics, engineering, healthcare, logistics, energy systems and artificial intelligence. In addition, developing theoretical and computational studies is crucial for adequately solving the problems. To create better, more robust, scalable and interpretable solutions, mathematicians must employ mathematical structures, algorithmic innovations, and computational intelligence. The interaction between the exact, heuristic, and hybrid methods enhances decision-making in conditions of uncertainty, enhances the performance of systems, and enables the efficient utilization of resources.  This Special Issue aims to compile original research articles based on the application of operations research methods in different fields. This Special Issue is primarily interested in the formation of mathematical models, computational techniques, and the use of analytical methods to enhance decision-making processes. It also aims to enrich our knowledge of operations research theory, algorithms, and practice, and present new approaches for solving decision and optimization problems.

Dr. Amir Karbassi Yazdi
Prof. Dr. Peter Fernandes Wanke
Guest Editors

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Keywords

  • operations research 
  • multi-criteria decision analysis (MCDA) 
  • fuzzy systems 
  • data envelopment analysis (DEA) 
  • optimization techniques 
  • mathematical modeling 
  • decision-making under uncertainty 
  • heuristic and metaheuristic algorithms 
  • linear and nonlinear programming 
  • machine learning in operations research

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Published Papers (1 paper)

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35 pages, 1992 KB  
Article
Integrating Large Language Models into a Novel Intuitionistic Fuzzy PROBID Method for Multi-Criteria Decision-Making Problems
by Ferry Anhao, Amir Karbassi Yazdi, Yong Tan and Lanndon Ocampo
Mathematics 2025, 13(17), 2878; https://doi.org/10.3390/math13172878 - 5 Sep 2025
Viewed by 569
Abstract
As vision and mission statements embody the directions set forth by an organization, their connection to the Sustainable Development Goals (SDGs) must be made explicit to guide overall decision-making in taking strides toward the sustainability agenda. The semantic alignment of these strategic statements [...] Read more.
As vision and mission statements embody the directions set forth by an organization, their connection to the Sustainable Development Goals (SDGs) must be made explicit to guide overall decision-making in taking strides toward the sustainability agenda. The semantic alignment of these strategic statements with the SDGs is investigated in a previous study, although several limitations need further exploration. Thus, this study aims to advance two contributions: (1) utilizing the capabilities of LLMs (Large Language Models) in text semantic analysis and (2) integrating fuzziness into the problem domain by using a novel intuitionistic fuzzy set extension of the PROBID (Preference Ranking On the Basis of Ideal-average Distance) method. First, a systematic approach evaluates the semantic alignment of organizational strategic statements with the SDGs by leveraging the use of LLMs in semantic similarity and relatedness tasks. Second, viewing it as a multi-criteria decision-making (MCDM) problem and recognizing the limitations of LLMs, the evaluations are represented as intuitionistic fuzzy sets (IFSs), which prompted the development of an IF extension of the PROBID method. The proposed IF-PROBID method was then deployed to evaluate the 47 top Philippine corporations. Utilizing ChatGPT 3.5, 7990 prompts with repetitions generated the membership, non-membership, and hesitance scores for each evaluation. Also, we developed a cohort-dependent SDG–vision–mission matrix that categorizes corporations into four distinct classifications. Findings suggest that “highly-aligned” corporations belong to the private and technology sectors, with some in the industrial and real estate sectors. Meanwhile, “weakly-aligned” corporations come from the manufacturing and private sectors. In addition, case-specific insights are presented in this work. The comparative analysis yields a high agreement between the results and those generated by other IF-MCDM extensions. This paper is the first to demonstrate two methodological advances: (1) the integration of LLMs in MCDM problems and (2) the development of the IF-PROBID method that handles the resulting inherently imprecise evaluations. Full article
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