Neutrosophic Crisp Open Set and Neutrosophic Crisp Continuity via Neutrosophic Crisp Ideals
نویسندگان
چکیده
The focus of this paper is to propose a new notion of neutrosophic crisp sets via neutrosophic crisp ideals and to study some basic operations and results in neutrosophic crisp topological spaces. Also, neutrosophic crisp L-openness and neutrosophic crisp Lcontinuity are considered as a generalizations for a crisp and fuzzy concepts. Relationships between the above new neutrosophic crisp notions and the other relevant classes are investigated. Finally, we define and study two different types of neutrosophic crisp functions.
منابع مشابه
Some GIS Topological Concepts via Neutrosophic Crisp Set Theory
In this paper we introduce and study the neutrosophic crisp pre-open, semi-open, βopen set, neutrosophic crisp continuity and neutrosophic crisp compact spaces are introduced. Furthermore, we investigate some of their properties and characterizations. Possible application to GIS topology rules are touched upon.
متن کاملNeutrosophic Crisp Sets & Neutrosophic Crisp Topological Spaces
In this paper, we generalize the crisp topological space to the notion of neutrosophic crisp topological space, and we construct the basic concepts of the neutrosophic crisp topology. In addition to these, we introduce the definitions of neutrosophic crisp continuous function and neutrosophic crisp compact spaces. Finally, some characterizations concerning neutrosophic crisp compact spaces are ...
متن کاملUltra Neutrosophic Crisp Sets and Relations
In this paper we present a new neutrosophic crisp family generated from the three components’ neutrosophic crisp sets presented by Salama [4]. The idea behind Salam’s neutrosophic crisp set was to classify the elements of a universe of discourse with respect to an event ”A” into three classes: one class contains those elements that are fully supportive to A, another class contains those element...
متن کاملBasic Structure of Some Classes of Neutrosophic Crisp Nearly Open Sets & Possible Application to GIS Topology
Since the world is full of indeterminacy, the neutrosophics found their place into contemporary research. The fundamental concepts of neutrosophic set, introduced by Smarandache in [30, 31, 32] and Salama et al. in [4-29]. In Geographical information systems (GIS) there is a need to model spatial regions with indeterminate boundary and under indeterminacy. In this paper the structure of some cl...
متن کاملExtension of Crisp Functions on Neutrosophic Sets
In this paper, we generalize the definition of Neutrosophic sets and present a method for extending crisp functions on Neutrosophic sets and study some properties of such extended functions.
متن کامل