TY - JOUR
AU - Şahin, Memet
PY - 2022/10/06
Y2 - 2023/06/04
TI - The Neutro-Sigma Algebras and Anti-Sigma Algebras
JF - Neutrosophic Sets and Systems
JA - NSS
VL - 51
IS -
SE -
DO -
UR - http://fs.unm.edu/NSS2/index.php/111/article/view/2151
SP - 908-922
AB - <p>Neutro-algebra structures play a significant role in the neutrosophic theory. Especially, with the help of neutro-algebraic structures; neutrosophic theory makes a valuable addition to the classical theory. In this article, neutro-sigma algebras and anti-sigma algebras are obtained. Furthermore, basic properties and examples for neutro-sigma algebras and anti-sigma algebras are obtained and proved. Also, classical sigma algebra, neutro-sigma algebra and anti-sigma algebra are compared to each other. Neutro-sigma algebra is shown to have a more general structure with respect to classical sigma algebra and anti-sigma algebra. Thus, (T, I, F) components that constitute the neutrosophic theory are added into classical sigma algebra (without using neutrosophic sets) and a new structure is obtained. In addition, we show that a neutro-sigma algebra can be obtained from every classical sigma algebra and a neutro-sigma algebra can be obtained from every anti-sigma algebra.</p>
ER -