A study of neutrosophic regular generalized b-closed sets in neutrosophic topological spaces

Abstract

In neutrosophic topological space (<i>NTS</i>), the neutrosophic setting for regular generalized b-closed set is shown as a novel kind neutrosophic closed set (<i>NCS</i>). Moreover, several new ideas of (<i>NCS</i>) are given and discussed, like neutrosophic generalized preregular closed set, neutrosophic regular generalized &alpha;-closed set, neutrosophic generalized <i>b</i>-closed set set, neutrosophic generalized &alpha;-closed set , neutrosophic generalized semi pre-closed set, neutrosophic generalized <i>&alpha;b</i>-closed set, neutrosophic semi generalized <i>b</i>-closed set, in neutrosophic topological spaces. Moreover, the relationships between the neutrosophic regular generalized b-closed and these new classes in (<i>NTS</i>) are explained and studied their characters.