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Samer Al Ghour
Jordan University of Science and Technology
Computer Science & IT Electrical & Electronics Engineering

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On some types of slight homogeneity Samer Al Ghour; Nahed Al Khatib
International Journal of Electrical and Computer Engineering (IJECE) Vol 10, No 4: August 2020
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (554.934 KB) | DOI: 10.11591/ijece.v10i4.pp4305-4312

Abstract

As a generalization of the concept SLH space, we introduce the concept of slightly strongly locally homogeneous (SSLH) spaces. Also, we introduce the concepts of slightly dense set as well as slightly separable space, and use them to introduce two new types of slightly countable dense homogeneous spaces. Several results, relationships, examples and counter-examples concerning these concepts are obtained.
Densely homogeneous fuzzy spaces Samer Al Ghour
International Journal of Electrical and Computer Engineering (IJECE) Vol 9, No 4: August 2019
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (474.037 KB) | DOI: 10.11591/ijece.v9i4.pp3256-3261

Abstract

We extend the concept of being densely homogeneous to include fuzzy topological spaces. We prove that our extension is a good extension in the sense of Lowen. We prove that a-cut topological space (X,I_a) of a DH fuzzy topological space (X,I) is DH in general only for a=0.
Fuzzy n-s-homogeneity and fuzzy weak n-s-homogeneity Samer Al Ghour; Almothana Azaizeh
International Journal of Electrical and Computer Engineering (IJECE) Vol 9, No 6: December 2019
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (344.948 KB) | DOI: 10.11591/ijece.v9i6.pp5395-5399

Abstract

Fuzzy n-s-homogeneity and fuzzy weak n-s-homogeneity are introduced in fuzzy bitopological spaces. Several relationships, characterizations and examples related to them are given.
Homogeneous Components of a CDH Fuzzy Space Samer Al Ghour
International Journal of Electrical and Computer Engineering (IJECE) Vol 9, No 4: August 2019
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (397.061 KB) | DOI: 10.11591/ijece.v9i4.pp2691-2694

Abstract

We prove that fuzzy homogeneous components of a CDH fuzzy topological space  (X,T) are clopen and also they are CDH topological subspaces of its 0-cut topological space (X,T0).   
Co-Authors Almothana Azaizeh Nahed Al Khatib