Subsystems and Fuzzy Relation Equations of Fuzzy Automata Based on Generalized Residuated Lattice

Anupam K. Singh and Vinay Gautam ()
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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
Vinay Gautam: Department of Applied Sciences, Galgotia College of Engineering and Technology, Knowledge Park, Phase II, Greater Noida 201306, India

New Mathematics and Natural Computation (NMNC), 2021, vol. 17, issue 03, 607-621

Abstract: The objective of this paper is to establish the concepts of subsystems, reverse subsystems and double subsystems of a fuzzy automata based on generalized residuated lattices where the fuzzy sets are equipped with generalized residuated lattice in which the commutative property does not hold and characterizes them in terms of fuzzy relation inequalities and equations. Also, the opening and closure systems in the lattices of fuzzy subsets of Q can be discussed for these six subsystems.

Keywords: Generalized residuated lattices; (left/right) subsystems; (left/right) reverse subsystems; (left/right) double subsystems; Sδ-closures (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S1793005721500307

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