Intuitionistic Fuzzy Monoids in an Intuitionistic Fuzzy Finite Automaton with Unique Membership Transition on an Input Symbol
Discussiones Mathematicae. General Algebra and Applications, Tome 42 (2022) no. 2, pp. 383-394

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An intuitionistic fuzzy finite state automaton assigns a membership and nonmembership values in which there is a unique membership transition on an input symbol (IFAUM) is considered. It is proved and illustrated the existence of two different intuitionistic fuzzy monoids F(𝒜) and S_𝒜 from an intuitionistic fuzzy transition function of the given IFAUM 𝒜. Also it is proved that F(𝒜) and S_𝒜 are anti-isomorphic as monoids.
Keywords: intuitionistic fuzzy monoid
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Jency Priya, K.; Rajaretnam, T. Intuitionistic Fuzzy Monoids in an Intuitionistic Fuzzy Finite Automaton with Unique Membership Transition on an Input Symbol. Discussiones Mathematicae. General Algebra and Applications, Tome 42 (2022) no. 2, pp. 383-394. http://geodesic.mathdoc.fr/item/DMGAA_2022_42_2_a9/