aspg-21-2867-1791479378 20261008170938 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 24 4 Muthamizhselvi S. Research Scholar, Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore-641043, India. V. M. Vijayalakshmi Assistant Professor, Department of Science and Humanities, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore-641043, India. In our previous paper we discussed about the concept of SOBPFS, SOBPFT and its mathematical modelling in medical diagnosis. In this paper, the detailed study about SOBPFT accordance with FOBPFT and crisp topological spaces are analysed and also some natural examples of SOBPFT are provided. In third section, the connections between FOBPFT and SOBPFT under five different cases are discussed. And last section tells that, from a crisp topology τ on X there exists three different SOBPFT denoted by (ω(τ)) ̂, (ω_* (τ)) ̂ and (ω_ε (τ)) ̂ and from a SOBPFT on X there exists three crisp topologies denoted by i(τ ̂_B ), i^* (τ ̂_B ) and i_ε (τ ̂_B ). 2024 133 150 2867 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.240410 https://www.americaspg.com/journal/21/article/2867 https://www.americaspg.com/storage/21717581713.pdf