RETRACT NEUTROSOPHIC CRISP SYSTEM FOR GRAY SCALE IMAGE

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Published: 2018-04-04

Page: 104-117


A. A. SALAMA

Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Egypt.

HEWAYDA EL GHAWALBY

Department of Physics and Engineering Mathematics, Faculty of Engineering, Port Said University, Egypt.

ASMAA M. NASR *

Department of Physics and Engineering Mathematics, Faculty of Engineering, Port Said University, Egypt.

*Author to whom correspondence should be addressed.


Abstract

In this paper, we aim to develop a new type of neutrosophic crisp set called the retract neutrosophic crisp set and shows a grayscale image in a 2D Cartesian domain with neutrosophic crisp components in the neutrosophic domain. The introduced set is a retraction of any triple structured crisp set. Whereas, the retract set deduced from any neutrosophic crisp set is coincide its corresponding star neutrosophic crisp set defined in by Salama et al. [1]. Hence we construct a new type of neutrosophic crisp topological spaces, called the retract neutrosophic crisp topological space as a retraction of the star neutrosophic topological space. Moreover, we investigate some of its properties.

Keywords: Neutrosophic crisp set, neutrosophic crisp topological space, star neutrosophic crisp set


How to Cite

SALAMA, A. A., GHAWALBY, H. E., & NASR, A. M. (2018). RETRACT NEUTROSOPHIC CRISP SYSTEM FOR GRAY SCALE IMAGE. Asian Journal of Mathematics and Computer Research, 24(3), 104–117. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/1039

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