ON Neutrosophic Crisp Supra Bi-Topological Spaces

Abstract

In this paper, neutrosophic crisp supra bi-topological structure, which is a more general structure than neutrosophic crisp supra topological spaces, is built on neutrosophic crisp sets. The necessary arguments which are pairwise neutrosophic crisp supra open set, pairwise neutrosophic crisp supra closed set, pairwise neutrosophic crisp supra closure, pairwise neutrosophic crisp supra interior is defined, and their basic properties are presented. Finally, many examples are presented.

A New Neutrosophic Algebraic Structures

“…Then many researchers generalizations the neutrosophic topological space to neutrosophic bitopological space see [13][14][15]via neutrosophic sets which is more generalized than fuzzy set and classical sets. In recent year, Agboola et al studied many neutrosophic algebraic concept as "neutrosophic group" and "neutrosophic ring" in [16,17], and presented refined neutrosophic groups.…”

The Polar form of a Neutrosophic Complex Number

“…The neutrosophic logic is of great importance in many areas of them, including applications in image processing [7][8], the field of geographic information systems [9], and possible applications to database [10][11], and have applications in the medical field [12][13][14][15], and in neutrosophic bitopology in [16][17][18], and in neutrosophic algebra in [19][20][21][22][23], professor F. Smarandache presented the definition of the standard form of neutrosophic real number and conditions for the division of two neutrosophic real numbers to exist, he defined the standard form of neutrosophic complex number [24], and Y. Alhasan presented the properties of the concept of neutrosophic complex numbers including the conjugate of neutrosophic complex number, division of neutrosophic complex numbers, the inverted neutrosophic complex number and the absolute value of a neutrosophic complex number and theories related to the conjugate of neutrosophic complex numbers, and that the product of a neutrosophic complex number by its conjugate equals the absolute value of number [25].…”