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In this paper we define the notion of Pythagorean neutrosophic b-open sets (resp. b-closed) and Pythagorean neutrosophic semiopen sets (resp. preopen and gamma -open). Their properties are investigated.
In this paper, we introduce and study a new notion of Pythagorean neutrosophic set which is called Pythagorean neutrosophic semi-open sets. Besides, we define the concepts of Pythagorean neutosophic semi-open function, Pythagorean neutrosophic semi-continuous function and Pythagorean neutrosophic semi-homeomorphism. Moreover, some of their properties are shown.
The purpose of this paper is to introduce and study the notion of Pythagorean neutrosophic b-open sets by using the notion of Pythagorean neutrosophic open set. Besides, we define the concepts of Pythagorean neutosophic b-open function, Pythagorean neutrosophic b-continuous function and Pythagorean neutrosophic bhomeomorphism. Moreover, some of their properties are proved.
Smarandache proposed the approach of neutrosophic sets. Neutrosophic sets deals with uncertain data. This paper de nes the notion of neutrosophic b-open sets and neutrosophic b-closed sets and their properties are investigated. Further neutrosphic b-interior and neutrosphic b-closure operators are studied and their relationship with other operators are also discussed.
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. In this issue: On Neutrosophic Crisp Sets and Neutrosophic Crisp Mathematical Morphology, New Results on Pythagorean Neutrosophic Open Sets in Pythagorean Neutrosophic Topological Spaces, Comparative Mathematical Model for Predicting of Financial Loans Default using Altman Z-Score and Neutrosophic AHP Methods.
The purpose of this paper is to define the product related neutrosophic topological space and proved some theorems based on this. We introduce the concept of neutrosophic semiopen sets and neutrosophic semi-closed sets in neutrosophic topological spaces and derive some of their characterization. Finally, we analyze neutrosophic semi-interior and neutrosophic semi-closure operators also.
In the present paper, we define a kind of neutrosophic topology obtained as an associated structure on a neutrosophic topological space K induced by a grill on K. Such a neutrosophic topology is studied in certain detail as to some of its basic properties. Also we introduce new definition of neutrosophic grill topological space like neutrosophic grill-open, neutrosophic grill pre-open, neutrosophic grill semi-open, neutrosophic grill b-open.
The aim of this paper is to introduced neutrosophic crisp supra topological spaces (NCSTS) and neutrosophic crisp supra bi and tri-topological spaces, new types of open and closed sets in neutrosophic crisp supra bi and tri-topological spaces, the closure and interior of neutrosophic crisp supra bi and tri-topological space, new concepts of open and closed sets, their properties are investigated.
In this paper we introduce the notion of neutrosophic-b-open set, pairwise neutrosophic-b-open set in neutrosophic bitopological spaces. We have investigated some of their basic properties and established relation between the other existing notions.
The purpose of this article is to extend some more topics of topology in neutrosophic topology. Eerily introduce neutrosophic topological space and open sets, closed sets, semi-open and semi closed sets, now in this manuscript we extend up to neutrosophic pre-open and pre-closed (NPO and NPC).