Preflters on Neutrosophic Sets

D. Keerthana; V. Visalakshi; C. Rajapandiyan; Saeid Jafari

Preflters on Neutrosophic Sets

Authors

D. Keerthana Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu, India
V. Visalakshi Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu, India
C. Rajapandiyan Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu, India
Saeid Jafari Mathematical and Physical Science Foundation, Sidevej 5, 4200 Slagelse, Denmark

Keywords:

Neutrosophic set, Prefilter, Characteristic set, Characteristic value, Prime prefilter

Abstract

This paper introduces the concept of a prefilter on the collection of neutrosophic sets. The charac
teristic set and characteristic value of prefilters are introduced and their fundamental properties are explored.
The relationships between filters and prefilters are examined, with particular emphasis on how ultrafilters cor
respond to maximal filters via specific mappings such as iK and wK Additionally, the concept of prime prefilters
are defined and their basic properties are studied. The compatibility between filters and prefilters is also dis
cussed.

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Published

2024-09-10

Issue

Vol. 73 (2024): Neutrosophic Sets and Systems {Special Issue: Mediterranean Conference on Three Decades of Neutrosophic and Plithogenic Theories and Applications (MeCoNeT 2024)}, Vol. 73, 2024

Section

Article

License

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

Creative Commons Attribution (CC BY) license.

How to Cite

D. Keerthana, V. Visalakshi, C. Rajapandiyan, & Saeid Jafari. (2024). Preflters on Neutrosophic Sets. Neutrosophic Sets and Systems, 73, 341-349. https://fs.unm.edu/nss8/index.php/111/article/view/5049