APPLICATIONS OF SOFT g<sup>#</sup> SEMI CLOSED SETS IN SOFT TOPOLOGICAL SPACES
APPLICATIONS OF SOFT g<sup>#</sup> SEMI CLOSED SETS IN SOFT TOPOLOGICAL SPACES
- 한국전산응용수학회
- Journal of applied mathematics & informatics
- Vol.42No.3
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2024.01635 - 646 (12 pages)
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DOI : https://doi.org/10.14317/jami.2024.635
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In this research work, we introduce and investigate four innovative types of soft spaces, pushing the boundaries of traditional spatial concepts. These new types of soft spaces are named as soft T<sub>b</sub> space, soft T<sup>#</sup><sub>b</sub> space, soft T<sup>##</sup><sub>b</sub> space and soft<sub>α</sub>T<sup>#</sup><sub>b</sub> space. Through rigorous analysis and experimentation, we uncover and propose distinct characteristics that define and differentiate these spaces. In this research work, we have established that every soft $T_{\frac{1}{2}}$ space is a soft <sub>α</sub>T<sup>#</sup><sub>b</sub> space, every soft T<sub>b</sub> space is a soft <sub>α</sub>T<sup>#</sup><sub>b</sub> space, every soft T<sup>#</sup><sub>b</sub> space is a soft <sub>α</sub>T<sup>#</sup><sub>b</sub> space, every soft T<sub>b</sub> space is a soft T<sup>#</sup><sub>b</sub> space, every soft T<sup>#</sup><sub>b</sub> space is a soft T<sup>##</sup><sub>b</sub> space, every soft $T_{\frac{1}{2}}$ space is a soft <sup>#</sup>T<sub>b</sub> space and every soft T<sub>b</sub> space is a soft #T<sub>b</sub> space.
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