The improper 2-refined neutrosophic integrals

Authors

  • Suliman Sheen Deanship the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj Saudi Arabia.;
  • Qusay Alhassan Faculty of Informatics Engineering, Cordoba Private University, Syria;
  • Raja Abdullah Abdulfatah Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia;
  • Yaser Ahmad Alhasan Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, KSA;

Keywords:

2-refined neutrosophic, improper integral, divergent integral, converges integral.

Abstract

Given the growing body of research surrounding neutrosophic logic and its increasing 
recognition across various scientific disciplines, it became essential to extend our efforts within this 
domain—particularly in the area of neutrosophic calculus. This motivation led us to explore 
improper 2-refined neutrosophic integrals as a continuation of this research trajectory. In this study, 
we examine both the first and second kinds of improper 2-refined neutrosophic integrals. We also 
address the notions of convergence and divergence within this context, supported by several 
illustrative examples that clarify and reinforce the presented concepts. 

 

DOI: 10.5281/zenodo.15926906

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Published

2025-11-01

Issue

Vol. 90 (2025): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2025 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Suliman Sheen, Qusay Alhassan, Raja Abdullah Abdulfatah, & Yaser Ahmad Alhasan. (2025). The improper 2-refined neutrosophic integrals . Neutrosophic Sets and Systems, 90, 120-129. https://fs.unm.edu/nss8/index.php/111/article/view/6762

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