Neutrosophic Sets and Systems
Abstract
The neutrosophic measure is a generalization of the classical measure in situations when the space contains some indeterminacy. In this paper, we introduce the concept of the Neutrosophic Geometric Measure, we also provide some results, and examples related to the Neutrosophic Geometric Measure. A classical measure of the objects determinate component, a classical measure of its indeterminate part, and a further classical measure of the objects opposite determinate part are the three classical measures that make up the neutrosophic measure. To de ne the Neutrosophic Geometric Measure, we introduce a new measure on R+ and call it the geometric Lebesgue measure. The geometric Lebesgue measure is de ned, and some of its properties are examined and detailed. Moreover, we establish a relation between the Lebesgue measure and geometric Lebesgue measure to see if the properties of Lebesgue measure are still true in this new measure. Other basic topics discussed in this paper are geometric measurable function and the geometric simple approximation Theorem
Recommended Citation
Darweesh, Amer; Kamel Al-Khaled; Mohammed Shakhatreh; Mahmood Shareef Ajeel; and Nermin Abo Hasan. "Neutrosophic Non-Newtonian and Geometric Measures: A Consistent Analytical Framework." Neutrosophic Sets and Systems 80, 1 (2025). https://digitalrepository.unm.edu/nss_journal/vol80/iss1/20
