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

Anupam K. Singh ()
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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

New Mathematics and Natural Computation (NMNC), 2019, vol. 15, issue 03, 463-477

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.

Keywords: Bipolar fuzzy preordered space; alexandrov bipolar fuzzy topology; upper set; bipolar fuzzy automaton (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S1793005719500261

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