International Journal of Engineering and Information Systems (IJEAIS)

Title: The Soft Sub-space of Soft Tri-topological Space

Authors: Asmhan Flieh Hassan and Ali Hussein Abaas

Volume: 5

Issue: 7

Pages: 48-58

Publication Date: 2021/07/28

Abstract:
The main aim of this paper is to present the concept of soft sub-space of a soft tri-topological space (w.r.t. soft ?^*-open set) as an original study. Firstly, we introduce the new concept in soft tri-topological space, and we analyse whether a soft sub-space of soft tri-topological space is a soft topology or not. Secondly, we define another new concept which is the collection of soft sub-spaces of parametrized topologies on the initial universe set, i.e. corresponding to each parameter of a soft tri-topological space, we get a sub-spaces for the parametrized family of crisp topologies.

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