Neutrosophic hesitant fuzzy soft sets: algebraic structure, topology, and application in decision making
Yazarlar (2)
Adem Yolcu
Prof. Dr. Taha Yasin ÖZTÜRK Kafkas Üniversitesi, Türkiye
Makale Türü Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale)
Dergi Adı Journal of Ambient Intelligence and Humanized Computing
Makale Dili – Basım Tarihi 01-2026
Cilt / Sayı / Sayfa 17 / 1 / 1–19 DOI 10.1007/s12652-025-05028-5
Makale Linki https://link.springer.com/article/10.1007/s12652-025-05028-5
UAK Araştırma Alanları
Topoloji
Özet
This study introduces a novel structure called the Neutrosophic Hesitant Fuzzy Soft Set (NHFSS), which integrates the advantages of neutrosophic sets, hesitant fuzzy sets, and soft set theory to provide a richer framework for modeling complex uncertainty in decision-making problems. After formally defining the algebraic operations for NHFSS, such as point, union, intersection, complement, and difference, we propose a new class of topological spaces based on this structure. The topological framework extends classical concepts like open sets, closed set, interior and closure into the neutrosophic hesitant fuzzy soft environment. To demonstrate the practicality of the proposed model, a multi-criteria decision-making problem is presented concerning academic staff evaluation. The effectiveness of the approach is compared with other neutrosophic decision-making techniques, and its flexibility in capturing indeterminacy …
Anahtar Kelimeler
BM Sürdürülebilir Kalkınma Amaçları
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Google Scholar 2
Neutrosophic hesitant fuzzy soft sets: algebraic structure, topology, and application in decision making