Fuzzy F-Index of Fuzzy Zero Divisor Graphs with MATLAB Based Algebraic Applications
Yazarlar (2)
Arş. Gör. Elif ERYAŞAR Sinop Üniversitesi, Türkiye
Doç. Dr. Esra ÖZTÜRK SÖZEN Sinop Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Filomat (Q2) | ||
| Dergi ISSN | 0354-5180 Dergi Bilgileri (2025) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2025 |
| Cilt / Sayı / Sayfa | 39 / 14 / 4873–4886 | DOI | 10.2298/FIL2514873E |
| Makale Linki | https://doi.org/10.2298/FIL2514873E | ||
| UAK Araştırma Alanları |
Cebir ve Sayılar Teorisi
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| Özet |
| This article aims to explore the theoretical properties of topological descriptors used in fuzzy graph theory, which combines elements of graph theory and fuzzy set theory, within algebraic structures. For this purpose, fuzzy 𝓕-index (briefly 𝓕𝓕-index) has been formulated theoretically for the fuzzy zero divisor graphs of the commutative ring ℤn, where (℘₁, ℘₂, ℘₃ are primes and α ≥ 3). In particular, a SageMath-based drawing algorithm that embodies the fuzzy graph structures of the rings is presented for application based convenience. Furthermore, a MATLAB based code was created that directly calculate the fuzzy 𝓕-index of the fuzzy zero divisor graphs for every non-prime value of n > 1. |
| Anahtar Kelimeler |
| Adjacency matrix | fuzzy F-index | fuzzy zero divisor graph |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 1 |
| Scopus | 1 |
| Google Scholar | 1 |