• 제목/요약/키워드: soft $g^{\sharp}s$ closed sets, soft $T_{\frac{1}{2}}$ space

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APPLICATIONS OF SOFT g# SEMI CLOSED SETS IN SOFT TOPOLOGICAL SPACES

  • T. RAJENDRAKUMAR;M.S. SAGAYA ROSELIN
    • Journal of applied mathematics & informatics
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    • 제42권3호
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    • pp.635-646
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    • 2024
  • 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 Tb space, soft T#b space, soft T##b space and softαT#b 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 αT#b space, every soft Tb space is a soft αT#b space, every soft T#b space is a soft αT#b space, every soft Tb space is a soft T#b space, every soft T#b space is a soft T##b space, every soft $T_{\frac{1}{2}}$ space is a soft #Tb space and every soft Tb space is a soft #Tb space.