On Neutrosophic Fuzzy Metric Space and Its Topological Properties

Author:

Ghosh Samriddhi1ORCID,Sonam 1ORCID,Bhardwaj Ramakant1ORCID,Narayan Satyendra2ORCID

Affiliation:

1. Department of Mathematics, Amity University Kolkata, Newtown, Kolkata 700135, West Bengal, India

2. Department of Applied Computing, Sheridan Institute of Technology, Oakville, ON L6H 2L1, Canada

Abstract

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.

Publisher

MDPI AG

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4. Al-shami, T.M., and Mhemdi, A. (2023). Generalized frame for orthopair fuzzy sets:(m, n)-fuzzy sets and their applications to multi-criteria decision-making methods. Information, 14.

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