The present research introduces a novel concept termed “neutrosophic fuzzy metric space”, which extends the traditional metric space framework by incorporating the notion of neutrosophic fuzzy sets. A thorough investigation of various structural and topological properties within this newly proposed generalization of metric space has been conducted. Additionally, counterparts of well-known theorems such as the Uniform Convergence Theorem and the Baire Category Theorem have been established for this generalized metric space. Through rigorous analysis, a detailed understanding of its fundamental characteristics has been attained, illuminating its potential applications and theoretical significance.

The objective of this article is to promote financial inclusion in the niche market for the less privileged class of the society by allowing small finance banks that are specialized in terms of activity with a regional focus and the target population. The present study makes an efficiency evaluation of the small finance banks operating in India for the period 2017–2020. In view of the smallness of the sample size, the study estimates efficiency, not by the conventional data envelopment analysis (DEA)-based point estimates. Instead, it estimates efficiency by applying the Guo–Tanaka fuzzy DEA model. In the second stage, efficiency is explained in terms of three contextual variables: return on asset, capital adequacy and net non-performing asset ratio. JEL Classifications: C61, D21, G21

In this changing work-life environment, many kinds of diseases pop out. One of such life-threatening disease is stroke. Our research addresses how this disease can be recognised using one mathematical model using intuitionistic fuzzy set with its different measures. The mathematical model produces comparisons between the several measures seen in different genders also. The comparisons have been drawn through a statistical tool.