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| On Plithogenic Crisp Hypersoft Separation Axioms |
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| KeyWord:Plithogenic crisp hypersoft topology, plithogenic crisp hypersoft separation axioms, plithogenic crisp hypersoft regular spaces, plithogenic crisp hypersoft normal spaces |
| Author Name | Affiliation | | Osama T. Pirbal | Mathematics Department, Salahaddin University-Erbil, Kirkuk Road, 44001, Erbil, Iraq | | Nehmat K. Ahmed | Mathematics Department, Salahaddin University-Erbil, Kirkuk Road, 44001, Erbil, Iraq |
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| Abstract: |
| In this work, we continue to study the plithogenic crisp hypersoft topological space (in short, PCHSTS) by presenting plithogenic crisp hypersoft (PCHS) separation axioms, called PCHS $T_i$-spaces for $i = 0,1,2,3,4$. Also, the concepts of PCHS regular and PCHS normal spaces are investigated. We discuss the connections between them and present numerous examples to help clarify the interconnections between the different types of these spaces. For $ i = 1, 2,3$, we show that the PCHS $T_i$-axioms imply PCHS $T_{i-1}$. Furthermore, we make it clear that a PCHS space's status as a PCHS $T_i$-spaces $(i = 0,1,2,3)$ is PCHS hereditary. Lastly, we draw a diagram that shows how our suggested axioms relate to each another. |
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