Quadripartitioned Neutrosophic Pythagorean fuzzy ideals in near-ring

Authors

  • Rashmi Kumar J Associate Professor School of Arts Humanities and Management, Jeppiaar University
  • Hellen A Assistant Professor, Acharya Institute of Technology, Banglore
  • Babu A Assistant Professor, Department of Mathematics, St.Joseph's Institute of Technology, Chennai
  • Arulselvam A Assistant Professor, Bharath Institute of Higher Education and Research;
  • Bobin A Assistant Professor, IFET Engineering College;

Keywords:

Quadri-partitioned;Quadri-PartitionedNeutrosophic;Pythagoreanfuzzy; ideals;Near-ring

Abstract

This paper investigates the structural characteristics of quadri-partitioned neutrosophicPythagorean fuzzy ideals (QNPFIs) and Bi-Ideals (QNPFBIs) within near-rings. It is established that theintersection of any collection of QNPFIs in a near-ring continues to exhibit the properties of a QNPFI. Sim-ilarly, we show that the intersection of QNPFBIs retains its bi-ideal structure. Moreover, an analysis of thepower function of a QNPFI con rms that its fundamental properties remain intact under exponentiation. These ndings contribute to the broader study of algebraic systems incorporating fuzzy and neutrosophic uncertaintyprinciples

 

DOI: 10.5281/zenodo.15468281

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Published

2025-08-01

Issue

Vol. 86 (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

Rashmi Kumar J, Hellen A, Babu A, Arulselvam A, & Bobin A. (2025). Quadripartitioned Neutrosophic Pythagorean fuzzy ideals in near-ring. Neutrosophic Sets and Systems, 86, 343-356. https://fs.unm.edu/nss8/index.php/111/article/view/6391