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Proceedings of the 4th Sriwijaya International Conference on Basic and Applied Sciences, SICBAS 2025, 6 November 2025, Palembang, Indonesia

Research Article

Application of Fuzzy Pentagonal Number Matrix with Robust Ranking Defuzzification Method in Disease Diagnosis

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  • @INPROCEEDINGS{10.4108/eai.6-11-2025.2364514,
        author={Yosua Fernando Sitinjak and Mashadi  Mashadi},
        title={Application of Fuzzy Pentagonal Number Matrix with Robust Ranking Defuzzification Method in Disease Diagnosis},
        proceedings={Proceedings of the 4th Sriwijaya International Conference on Basic and Applied Sciences, SICBAS 2025, 6 November 2025, Palembang, Indonesia},
        publisher={EAI},
        proceedings_a={SICBAS},
        year={2026},
        month={8},
        keywords={Application of PFN fuzzy soft matrix fuzzy soft sets medical diagnosis},
        doi={10.4108/eai.6-11-2025.2364514}
    }
    
  • Yosua Fernando Sitinjak
    Mashadi Mashadi
    Year: 2026
    Application of Fuzzy Pentagonal Number Matrix with Robust Ranking Defuzzification Method in Disease Diagnosis
    SICBAS
    EAI
    DOI: 10.4108/eai.6-11-2025.2364514
Yosua Fernando Sitinjak1, Mashadi Mashadi1,*
  • 1: Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Riau, Indonesia
*Contact email: mashadi@lecturer.unri.ac.id

Abstract

Among the arithmetic alternatives for Pentagonal Fuzzy Numbers (PFN) proposed by different authors, addition, subtraction, and scalar multiplication are generally defined in a similar manner. In contrast, multiplication and division are defined differently across the literature. However, the arithmetic offered for any pentagonal fuzzy number does not necessarily have an inverse, and the application of PFN matrix with fuzzy soft sets and fuzzy soft matrix is done separately. Therefore, this paper will present the arithmetic of pentagonal fuzzy numbers that yields an inverse and will directly apply the application of pentagonal fuzzy number matrix with fuzzy soft sets and fuzzy soft matrix simultaneously. By applying this concept, two pentagonal fuzzy number matrices were formed. The relationship between matrices is calculated, and the robust ranking values are used to predict the disease diagnosis. From the calculation example, the results obtained are consistent with the medical diagnosis

Keywords
Application of PFN, fuzzy soft matrix, fuzzy soft sets, medical diagnosis
Published
2026-08-12
Publisher
EAI
http://dx.doi.org/10.4108/eai.6-11-2025.2364514
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