Topological Approaches in Characterization of Algebraic Structure of Fuzzy Multiset Finite Automata

Shainky Ruhela, Sunny Verma (), Vijay Kumar Yadav and S. P. Tiwari ()
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Shainky Ruhela: Department of Mathematics, Central University of Rajasthan, NH-8 Bandarsindari, Ajmer 305817, Rajasthan, India†Department of Mathematics, Maharani Lal Kunwari MLK (PG) College, Balrampur 271201, Uttar Pradesh, India
Sunny Verma: Department of Mathematics, Central University of Rajasthan, NH-8 Bandarsindari, Ajmer 305817, Rajasthan, India
Vijay Kumar Yadav: Department of Mathematics, Central University of Rajasthan, NH-8 Bandarsindari, Ajmer 305817, Rajasthan, India
S. P. Tiwari: ��Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, Jharkhand, India

New Mathematics and Natural Computation (NMNC), 2025, vol. 21, issue 03, 839-865

Abstract: This paper aims to provide the topological approaches in the characterization of the algebraic structure of fuzzy multiset finite automaton (FMFA). We have shown how the topological concepts of open sets and continuous functions can be utilized to characterize the algebraic structure of FMFA. The topological definition of a continuous function on fuzzy multiset finite automata and its structure preserving qualities are investigated. The operation preserving function between two fuzzy multiset finite automata is introduced, such functions are analogous to a homomorphism between algebraic structures but have an even stronger structure preserving nature than the continuous functions.

Keywords: Fuzzy multiset finite automaton; open set; continuous function; operation preserving function; strongly connected FMFA (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S1793005726500043

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