The Regulatory Principles Involved in the New Neutrosophic  Integrals and Their Operational  Outcomes

Authors

DOI:

https://doi.org/10.64060/ANMI1V1i2

Keywords:

Neutrosophic integrals, Neutrosophic functions, Improper neutrosophic integrals, Classical counterparts, Uncertainty

Abstract

Classical mathematical analysis is built on precise and deterministic concepts, where quantities, limits, and operations are assumed to be exactly known. However, many real-life phenomena involve uncertainty, vagueness, indeterminacy, and incomplete information, which cannot be adequately handled using classical or even fuzzy mathematical frameworks alone. The main aim of this study is to examine the concept of improper neutrosophic integrals, with emphasis on their definitions, types, and convergence properties. Specifically, this study is to present the foundational concepts of neutrosophic logic and neutrosophic calculus, investigate conditions for convergence and divergence of improper neutrosophic integrals, solve illustrative examples involving different classes of neutrosophic functions, and finally, to compare improper neutrosophic integrals with their classical counterparts.

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Published

2026-04-09

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Articles

How to Cite

The Regulatory Principles Involved in the New Neutrosophic  Integrals and Their Operational  Outcomes. (2026). Advances in Neutrosophic Mathematics and Informatics, 1(1), 8-16. https://doi.org/10.64060/ANMI1V1i2

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