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Symmetry
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Computing with Words with Symmetry
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Computing with Words with Symmetry

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Computer".

Deadline for manuscript submissions: 30 August 2026 | Viewed by 1348

Special Issue Editors

Prof. Dr. Francisco Rodrigues Lima Junior

E-Mail Website
Guest Editor
Postgraduate Program in Administration, Federal Technological University of Paraná, Curitiba 80230-901, Brazil
Interests: multicriteria decision making; computing with words; fuzzy logic; machine learning; operations management
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Nadya Regina Galo

E-Mail Website
Guest Editor
Faculty of Administration and Accounting Sciences, Department of Entrepreneurship and Management, Fluminense Federal University, Niteroi 24210-240, Brazil
Interests: multicriteria decision-making methods; fuzzy logic; computer with words; group decision making; logistics and supply chain; circular economy

Special Issue Information

Dear Colleagues,

Computing with words (CWW) has emerged as a versatile approach for decision-making, control systems, and data analysis in complex and uncertain environments. CWW enables flexible, intuitive, and human-centered solutions by processing linguistic information rather than numerical data. Applications cover fields such as operation management, engineering, medical diagnosis, environmental studies, and finance.

Various techniques support CWW, including fuzzy sets, type-2 fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, grey systems, linguistic rough sets, soft sets, 2-tuple fuzzy linguistic representation, and linguistic Z-numbers. These methods enhance the modeling of linguistic terms, uncertainty, and reliability in human reasoning. Symmetry often supports these models, particularly in the design of linguistic terms, membership functions, and mathematical operations, ensuring consistency and coherence.

This Special Issue of Symmetry focuses on recent advances in CWW. We seek theoretical and applied studies that advance CWW and provide new insights and practical solutions to real-world challenges. We invite original research on topics including, but not limited to, new CWW methodologies, enhancements to existing techniques, innovative applications of CWW, and comparative studies. We also encourage submissions of systematic reviews on the state of the art of CWW topics. Contributions exploring the role of symmetry within these methodologies are also welcome.

Prof. Dr. Francisco Rodrigues Lima Junior
Prof. Dr. Nadya Regina Galo
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 250 words) can be sent to the Editorial Office for assessment.

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

  • computing with words
  • fuzzy sets
  • intuitionistic fuzzy sets
  • 2-tuple fuzzy linguistic representation
  • hesitant fuzzy sets
  • grey systems
  • rough sets
  • soft sets
  • Z-numbers

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Published Papers (2 papers)

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16 pages, 1582 KB  
Article
A New Method Based on the Symmetrical Calculus of GEFS and SEFS of Fuzzy Relations to Assess the Effectiveness of Local Policies for Increasing the Well-Being of Citizens
by Barbara Cardone and Ferdinando Di Martino
Symmetry 2025, 17(11), 1840; https://doi.org/10.3390/sym17111840 - 2 Nov 2025
Viewed by 252
Abstract
This research proposes a method based on the greatest and shortest eigen fuzzy sets of fuzzy relations to evaluate the effectiveness of policies and strategies implemented in urban settlements aimed at increasing the livability and well-being of citizens. This assessment is performed by [...] Read more.
This research proposes a method based on the greatest and shortest eigen fuzzy sets of fuzzy relations to evaluate the effectiveness of policies and strategies implemented in urban settlements aimed at increasing the livability and well-being of citizens. This assessment is performed by extracting population census data collected at the beginning and end of the analyzed period and grouping them by subzone, that is, for each of the urban areas into which the urban settlement is divided. The greatest eigen fuzzy set (GEFS) and the smallest eigen fuzzy set (SEFS) are determined symmetrically as min-max and max-min solutions of fuzzy relations; they are calculated to estimate the average impact of urban strategies on generating symptoms of growth in citizen well-being during the investigated period. The method is implemented on a GIS (Geographic Information System) platform and was tested to assess the effectiveness of local policies applied between 2011 and 2021 on the growth of employment rates and educational attainment in the city of Naples (Italy), partitioned by neighborhood. Our model, unlike other fuzzy-based models for evaluating the effectiveness of actions and strategies to improve the quality of life in urban settlements, does not allow for subjective interpretations based on the knowledge or experience of different stakeholders, but relies solely on measurements over time of characteristics collected during census activities. Furthermore, it is integrated into a GIS-based platform, providing additional capabilities for identifying the urban areas where the impact of local strategies and policies has been most significant and those most critical. The test results show that the proposed framework can be a valuable tool for supporting decision makers in evaluating the effectiveness of local actions and policies aimed at improving the livability and well-being of citizens. Full article
(This article belongs to the Special Issue Computing with Words with Symmetry)
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20 pages, 942 KB  
Article
The Determination Risk Level of Manufacturing Process Based on IF-TOPSIS and IF-Fuzzy Logic Rules
by Ranka Sudžum, Snežana Nestić, Aleksandar Aleksić, Nikola Komatina, Dragan Marinković and Slaviša Moljević
Symmetry 2025, 17(9), 1535; https://doi.org/10.3390/sym17091535 - 14 Sep 2025
Viewed by 616
Abstract
In a dynamic and uncertain environment, maintaining a high level of business process (BP) reliability represents a key long-term objective for organizations. The manufacturing process, as the most critical business process in manufacturing enterprises, is emphasized due to its potential to cause significant [...] Read more.
In a dynamic and uncertain environment, maintaining a high level of business process (BP) reliability represents a key long-term objective for organizations. The manufacturing process, as the most critical business process in manufacturing enterprises, is emphasized due to its potential to cause significant disruptions across other BPs if it fails. This paper proposes a two-stage model. In the first stage, failures leading to lean waste are evaluated and ranked using the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) combined with interval-valued intuitionistic fuzzy numbers (IVIFNs), referred to as IF-TOPSIS. The model is grounded in the Failure Mode and Effect Analysis (FMEA) framework. In the second stage, a modified fuzzy logic system with IVIFN-based rules is applied to determine the risk level of the manufacturing process. This approach is based on the property of symmetry in the decision-making process, ensuring that criteria are treated in a balanced manner and inference rules are applied consistently. A case study based on real-life data demonstrates that the obtained results identify measures that can enhance business strategy and reduce failure rates. Thus, the model is validated and shown to contribute to lean waste reduction. It can be concluded that the proposed methodology provides clear and practical guidance to enterprise management, as well as to all sectors and individuals involved in ensuring a reliable manufacturing process, for defining failure priorities and implementing preventive measures. Full article
(This article belongs to the Special Issue Computing with Words with Symmetry)
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