Neutrosophic Crisp Sets & Neutrosophic Crisp Topological Spaces


  • A.A Sarma Department of Mathematics and Computer Science, Faculty of Sciences, Port Said University, Egypt
  • Florentin Smarandache Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA
  • Valeri Kroumov Okayama University of Science, Okayama, Japan


Neutrosophic Crisp Set, Neutrosophic Topology, Neutrosophic Crisp Topology


In this paper, we generalize the crisp topological spaces 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.


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How to Cite

Sarma, A., Smarandache, F., & Kroumov, V. . (2014). Neutrosophic Crisp Sets & Neutrosophic Crisp Topological Spaces. Neutrosophic Sets and Systems, 2, 25-30. Retrieved from