Filters in Hoops based on Lukasiewicz Neutrosophic set

Authors

  • N. Abirami Research scholar, School of Sciences, Division of Mathematics, SRM- Institute of Science and Technology, Tiruchirappalli campus, SRM Nagar, Trichy-Chennai highway, near Samayapuram, Tiruchirappalli-621105, Tamil Nadu, India
  • M. Mary Jansirani School of Sciences, Division of Mathematics, SRM- Institute of Science and Technology, Tiruchirappalli campus, SRM Nagar, Trichy-Chennai highway, near Samayapuram, Tiruchirappalli-621105, Tamil Nadu, India;

Keywords:

Lukasiewicz neutrosophic set; Lukasiewicz neutrosophic filter; Lukasiewicz fuzzy filter; Neutro sophic point ; Hoop

Abstract

The Lukasiewicz neutrosophic set (LNS) is developed using the ideas of Lukasiewicz t-norm and
 s-norm. This set is then applied to the hoop structure and introduces the Lukasiewicz neutrosophic filter
 (LNF). The properties of this filter, as well as its interconnection with the Lukasiewicz fuzzy filter (LFF),
 are subsequently investigated.

 

DOI 10.5281/zenodo.17662318

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Published

2026-03-25

Issue

Vol. 97 (2026): 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

N. Abirami, & M. Mary Jansirani. (2026). Filters in Hoops based on Lukasiewicz Neutrosophic set. Neutrosophic Sets and Systems, 97, 709-721. https://fs.unm.edu/nss8/index.php/111/article/view/7473