Densely homogeneous fuzzy spaces

Samer Al Ghour

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.

Keywords


cut topologies; densely homogeneous; fuzzy CDH; good extension;

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DOI: http://doi.org/10.11591/ijece.v9i4.pp3256-3261

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International Journal of Electrical and Computer Engineering (IJECE)
p-ISSN 2088-8708, e-ISSN 2722-2578

This journal is published by the Institute of Advanced Engineering and Science (IAES) in collaboration with Intelektual Pustaka Media Utama (IPMU).