International Journal of Neutrosophic Science
IJNS
2690-6805
2692-6148
10.54216/IJNS
https://www.americaspg.com/journals/show/3258
2020
2020
Implementation of the Neutrosophic Sets in Measurable Space with Respect to Neutrosophic Ring
Department of Mathematics. College of Education-Tuzkhurmatu. Tikrit University. Iraq
Ibrahim
Ibrahim
Department of Mathematics and Computer Applications. College of Science. Al – Nahrain University. Iraq
Ali Al
Al-Fayadh
Department of Mathematics. College of Computer Science and Mathematics. Tikrit University. Iraq
Hassan H.
Ebrahim
Department of Mathematics. College of Computer Science and Mathematics. Tikrit University. Iraq
Luma S.
Abdalbaqi
The generalization for interval fuzzy set name as neutrosophic set employed to construct a measurable space in this work. The measurable space with respect to a ring of sets that is closed under difference and union, is studied. The objective of this study is to extend the notion of a ring of sets by using neutrosophic sets. Neutrosophic set concept has gained popularity in various fields of mathematics, probability, and other sciences due to its many uses, especially when dealing with uncertainties. Several different properties of neutrosophic ring are studied. Examples and characterizations to the proposed extension are given.
2025
2025
187
193
10.54216/IJNS.250317
https://www.americaspg.com/articleinfo/21/show/3258