Introduction to Neutrosophic Topological Spatial Region, Possible Application to GIS Topological Rules

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A. A. Salama 1,* Said Broumi 2 S. A. Alblowi 3

1. Department of Mathematics and Computer Science, Faculty of Sciences, Port Said University, 23 December Street, Port Said 522, Egypt

2. Faculty of Lettres and Humanities, Hay El Baraka Ben M'sik Casablanca B.P. 7951 University of Hassan II, casablanca Morocco

3. Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

* Corresponding author.


Received: 1 Aug. 2014 / Revised: 25 Sep. 2014 / Accepted: 1 Nov. 2014 / Published: 8 Dec. 2014

Index Terms

Neutrosophic Sets, Neutrosophic Topology, Geographical Information Systems, Neutrosophic Spatial Region


Neutrosophic set is a power general formal framework, which generalizes the concept of the classic set, fuzzy set, interval valued fuzzy set, intuitionistic fuzzy set, and interval intuitionistic fuzzy set from philosophical point of view. In Geographical Information Systems (GIS) there is a need to model spatial regions with indeterminate boundary and under indeterminacy. In this paper, we first gives fundamental concepts and properties of a neutrosophic spatial region.

Cite This Paper

A. A. Salama, Said Broumi, S. A. Alblowi,"Introduction to Neutrosophic Topological Spatial Region, Possible Application to GIS Topological Rules", International Journal of Information Engineering and Electronic Business(IJIEEB), vol.6, no.6, pp.15-21, 2014. DOI:10.5815/ijieeb.2014.06.02


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