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Bipolar Fuzzy Preorder, Alexandrov Bipolar Fuzzy Topology and Bipolar Fuzzy Automata

Author

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  • Anupam K. Singh

    (Department of Mathematics, C. M. College, A Constituent Unit of Lalit Narayan Mithila University Darbhanga, Bihar 846004, India)

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.

Suggested Citation

  • Anupam K. Singh, 2019. "Bipolar Fuzzy Preorder, Alexandrov Bipolar Fuzzy Topology and Bipolar Fuzzy Automata," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 463-477, November.
    • Handle: RePEc:wsi:nmncxx:v:15:y:2019:i:03:n:s1793005719500261
    DOI: 10.1142/S1793005719500261
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