Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Article
Publication Date
2014
Abstract
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 presented and one obtains several properties. Possible application to GIS topology rules are touched upon.
Publisher
University of New Mexico
Publication Title
Neutrosophic Sets and Systems
Volume
2
First Page
25
Last Page
30
Language (ISO)
English
Keywords
Neutrosophic Crisp Set; Neutrosophic Topology; Neutrosophic Crisp Topology
Recommended Citation
Salama, A. A.; Florentin Smarandache; and Valeri Kroumov.
"Neutrosophic Crisp Sets & Neutrosophic Crisp Topological Spaces."
Neutrosophic Sets and Systems
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Included in
Analysis Commons, Applied Mathematics Commons, Geometry and Topology Commons, Logic and Foundations Commons, Number Theory Commons, Other Mathematics Commons, Set Theory Commons
