The target of this study is to describe the notion of 2-fuzzy metric spaces which is the extension of 2-metric space in the setting of that the area of triangle shaped by three distinct points is a convex, non-negative, normal and upper semi-continuous fuzzy number. For this aim, we first describe the notion of 2-fuzzy metric spaces, study some of their properties and give some examples. Then we investigate the relationship between 2-fuzzy metric spaces and 2-Menger spaces. Also, we discuss the triangle inequalities and its level forms in 2-fuzzy metric spaces. Finally, using the obtained properties and relationships we show that every 2-fuzzy metric induces a Hausdorff topology which is metrizable.
CITATION STYLE
Güner, E., & Aygün, H. (2021). On 2-Fuzzy Metric Spaces. In Advances in Intelligent Systems and Computing (Vol. 1197 AISC, pp. 1258–1266). Springer. https://doi.org/10.1007/978-3-030-51156-2_147
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