Symmetry/Asymmetry in Fuzzy Multi-Criteria Decision-Making: Application in Management and Engineering

A special issue of Symmetry (ISSN 2073-8994).

Deadline for manuscript submissions: 1 October 2026 | Viewed by 906

Special Issue Editors


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Guest Editor
Military Academy, University of Defence in Belgrade, Veljka Lukića Kurjaka 33, 11000 Belgrade, Serbia
Interests: multi-criteria decision-making; fuzzy set theory; military science; management; engineering

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Guest Editor
Department of Public Safety, Government of Brčko District of Bosnia and Herzegovina, Bulevara Mira 1, 76100 Brčko, Bosnia and Herzegovina
Interests: quantitative economics; multi-criteria decision-making; fuzzy set theory; operational management
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Special Issue Information

Dear Colleagues,

Modern approaches to solving multi-criteria decision-making (MCDM) problems usually indicate the existence of asymmetry in defining the weighting coefficients of the criteria, i.e., in the selection of alternatives. On the other hand, symmetry is rare and can usually be found when performing a sensitivity analysis of the model. Also, in research, it can be seen that many uncertainties accompany MCDM processes. Even though several areas that consider uncertainties have been developed, the most represented area remains fuzzy logic. In the last twenty years, fuzzy logic has been greatly expanded, and the initial classical fuzzy numbers have been modified to unrecognizable proportions. Despite the development of newer approaches, some authors stuck to the original fuzzy numbers, considering them sufficient for solving MCDM problems. The application of the fuzzy MCDM model is noticeable in many areas. This Special Issue focuses on applying fuzzy MCDM models in management and engineering, two often complementary fields. The need to define different MCDM models for these two areas is clearly recognizable through the scientific literature, because in scientific works and practice, an increasing number of problems from management and engineering, which MCDM models can solve, are being addressed.

This Special Issue should provide an overview of research on practical problem-solving in management and engineering using symmetry/asymmetry in fuzzy MCDM models. It should also be a platform for gathering the knowledge of theorists and practitioners in fuzzy logic and multi-criteria decision-making, which would improve both areas, as well as the fields of management and engineering.

This Special Issue, “Symmetry/Asymmetry in Fuzzy Multi-Criteria Decision-Making: Application in Management and Engineering”, aims to incorporate recent developments in applied science. Topics include, but are not limited to, the following:

  • Symmetry/Asymmetry in Fuzzy MCDM model—Application in Management and Engineering;
  • Interval fuzzy MCDM model—Application in Management and Engineering;
  • Z–number MCDM model—Application in Management and Engineering;
  • Intuitionistic fuzzy MCDM model—Application in Management and Engineering;
  • Q-rung orthopair fuzzy MCDM model—Application in Management and Engineering;
  • Spherical fuzzy MCDM model—Application in Management and Engineering;
  • Hesitant fuzzy MCDM model—Application in Management and Engineering;
  • Pythagorean fuzzy MCDM model - Application in Management and Engineering;
  • Diferent fuzzy agregation operators in MCDM model—Application in Management and Engineering;
  • ANFIS models for MCDM;
  • FIS models for MCDM.

Dr. Aleksandar Milić
Dr. Adis Puška
Guest Editors

Manuscript Submission Information

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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. Symmetry is an international peer-reviewed open access monthly 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 2400 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

  • multi-criteria decision-making
  • classical fuzzy number
  • interval fuzzy number
  • Z–number
  • intuitionistic fuzzy numbers
  • q-rung orthopair fuzzy numbers
  • spherical fuzzy numbers
  • hesitant fuzzy numbers
  • Pythagorean fuzzy numbers
  • fuzzy agregation operators
  • ANFIS
  • FIS
  • management
  • engineering

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Published Papers (1 paper)

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Research

24 pages, 384 KB  
Article
Evaluation of Strategic Management Strategies for Reducing Household Municipal Waste Using Symmetric Fuzzy Numbers
by Adis Puška, Dejan Antanasković, Vladica Ristić, Vladimir Tomašević, Danijela Despotović, Anđelka Štilić and Radivoj Prodanović
Symmetry 2026, 18(3), 428; https://doi.org/10.3390/sym18030428 - 28 Feb 2026
Viewed by 438
Abstract
This research aimed to examine which of the selected strategies can most effectively influence households to reduce their total municipal waste and thus protect the environment. To achieve this goal, a sample of 202 households from the Brčko District of BiH was used. [...] Read more.
This research aimed to examine which of the selected strategies can most effectively influence households to reduce their total municipal waste and thus protect the environment. To achieve this goal, a sample of 202 households from the Brčko District of BiH was used. Respondents evaluated six strategies against ten criteria, expressing their assessments through linguistic values. These linguistic inputs were modeled using symmetric fuzzy numbers, ensuring a consistent and mathematically robust representation of uncertainty and subjective judgment. The research used the fuzzy SiWeC (Simple Weight Calculation) method to determine the importance of the criteria, and the fuzzy TOPSIS (Technique for Order of Preference by Similarity to Ideal Solution), ARAS (Additive Ratio Assessment), and SAW (Simple Additive Weighted) methods to rank the strategies. The application of several methods in decision-making helps validate results and verify the robustness of strategy selection. These methods identified “waste reduction efficiency” as the most important criterion and “Strategy 3—Packaging return machines” as the most effective overall. Furthermore, analysis of demographic subgroups revealed significant variations in the perceived value of alternative strategies. Consequently, this study concludes that to optimize municipal waste management, strategies should be tailored to specific demographic profiles. This targeted approach would enhance waste reduction at the source, divert more waste from landfills, and promote the broader implementation of circular economy principles. The use of symmetric fuzzy numbers provided a reliable and stable foundation for this multi-criteria decision-making analysis. Full article
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