An approach to neutrosophic subgroup and its fundamental properties

An approach to neutrosophic ideals

“…Therefore, the study of single valued neutrosophic sets and their properties have a considerable significance in the sense of applications as well as in understanding the fundamentals of uncertainty. So, we decided to propose the definitions of a neutrosophic ideals of a classical ring and of a neutrosophic subring, in the sense of [4,5], and observe their fundamental properties. For further research one can handle cyclic (respectively, symmetric, abelian) neutrosophic group structure, and some of other algebraic structures.…”

“…Vasantha Kandasamy and Florentin Smarandache [9] studied the concept of neutrosophic algebraic structures. In addition, single valued neutrosophic set is applied to algebraic and topological directions (see [1,3,4,11,13,14]). Liu [10] defined the concept of a fuzzy ring and fuzzy ideal.…”

Complex Neutrosophic Subsemigroups and Ideals

“…( [15]) Let G be any group with multiplication and N be a neutrosophic set on G. Then N is said to be a neutrosophic subgroup (NSG) of G, if its satisfy the following conditions:…”

“…The idea of a fuzzy set in the model of semigroups was first initiated by Kuroki in 1979 ( [3]), and defined fuzzy subsemigroups. Vildan and Halis in 2017 ( [15]), extended the concept of fuzzy subgroups on the base of neutrosophic sets, which is known as neutrosophic subgroups .…”

On single valued neutrosophic refined rough set model and its application

“…Since the neutrosophic set theory established, many scholars have flung themselves into its development [3][4][5][6][7][8][9][10]. Rivieccio [11] proposed neutrosophic logics by introducing neutrosophic idea to logic.…”