@article{Qiu2025, 
author = {Xiu-Liang Qiu and Ömer Kişi and Mehmet Gürdal and Qing-Bo Cai},
title = {A generalized framework for    ς-neutrosophic fuzzy metric spaces and related fixed-point theorems},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {12},
pages = {28347-28373},
keywords = {neutrosophic fuzzy metric space, ς-NFMS, Hausdorff topology, fixed-point theorem, t-norm, t-conorm, multi-parameter generalization},
url = {https://www.sciopen.com/article/10.3934/math.20251247},
doi = {10.3934/math.20251247},
abstract = {This paper introduces    ς-neutrosophic fuzzy metric spaces (   ς-NFMSs), a significant generalization of neutrosophic fuzzy metric spaces (NFMSs). By extending the parameter space from a single dimension    (  0  ,  ∞  ) to a multi-dimensional vector space    (  0  ,  ∞      )          ς      , this framework offers enhanced flexibility for modeling complex systems where uncertainty depends on multiple factors simultaneously. The study investigates the topological properties of    ς-NFMSs, rigorously proving that their topology is first-countable and that the associated space is Hausdorff. Furthermore, a generalized fixed-point theorem is established within this new framework, extending previous results in NFMSs.}
}