Volume 24 • Issue 4 • PP: 133-150 • 2024
A Study on First and Second Order Bipolar Fuzzy Topological Spaces and Crisp Topological Spaces and Analyzing the Connections Between Them
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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 ).
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