Product of Implication-Based Intuitionistic Fuzzy Semiautomatons over Finite Groups

M. Selvarathi ()
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M. Selvarathi: Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, India

New Mathematics and Natural Computation (NMNC), 2019, vol. 15, issue 03, 503-515

Abstract: In this paper, Implication-based intuitionistic fuzzy semiautomaton (IB-IFSA) of a finite group is defined and investigated. The theory of an implication-based intuitionistic fuzzy kernel and implication-based intuitionistic fuzzy subsemiautomaton of an IB-IFSA over a finite group are formulated using the approach of implication-based intuitionistic fuzzy subgroup and implication-based intuitionistic fuzzy normal subgroup. The product of implication-based intuitionistic fuzzy subgroups is postulated and investigated. Further, direct product of implication-based intuitionistic fuzzy semiautomatons over the finite groups is elaborately studied. Fundamental properties concerning them are also dealt with.

Keywords: Implication-based intuitionistic fuzzy subgroup; implication-based intuitionistic fuzzy semiautomaton; implication-based intuitionistic fuzzy kernel; implication-based intuitionistic fuzzy subsemiautomaton (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S1793005719500297

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