| Autor: |
Salah Boulaaras, Ghada E. Mostafa, Rashid Jan, Ibrahim Mekawy |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
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| Zdroj: |
Scientific Reports, Vol 14, Iss 1, Pp 1-14 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2045-2322 |
| DOI: |
10.1038/s41598-024-75687-5 |
| Popis: |
Abstract This paper introduces a novel distance measure for dual hesitant fuzzy sets (DHFS) and weighted dual hesitant fuzzy sets (WDHFS), with a rigorous proof of the triangular inequality to ensure its mathematical validity. The proposed measure extends the normalized Hamming, generalized, and Euclidean distance measures to dual hesitant fuzzy elements (DHFE), offering a broader framework for handling uncertainty in fuzzy environments. Additionally, the utilization of a score function is shown to simplify the computation of these distance measures. The practical relevance of the proposed measure is demonstrated through its application in medical diagnosis and decision-making processes. A comparative analysis between the newly introduced distance measure denoted as $$\chi$$ χ , and an existing measure, $$\chi _1$$ χ 1 is performed to underscore the superiority and potential advantages of the new approach in real-world scenarios. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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