Abstract
This work is dedicated to finding the connection between bipolar fuzzy preorders (BFPs) and Alexandrov bipolar fuzzy topologies (ABFT). Likewise, we demonstrate that for any bipolar fuzzy preordered space (BFPS) an ABFT will be constructed. On the other hand, for any ABFT, tend to create a BFPS thereon set. Subsequently, the acquired outcomes are utilized as a part of the investigation of bipolar fuzzy automata theory with the help of BFPS.
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