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- W3185145398 abstract "Algebraic properties and structures of intuitionistic $$L-$$ fuzzy multiset finite automata (ILFMA) are discussed through congruences on a semigroup in this paper. Firstly, we put forward the notion of the intuitionistic $$L-$$ fuzzy compatible relation, the compatible monoid associated with the intuitionistic $$L-$$ fuzzy compatible relation can be effectively constructed, and we construct two finite monoids through two different congruence relations on a given ILFMA, then we prove that they are isomorphic. Furthermore, using the quotient structure of ILFMA, algebraic properties of intuitionistic $$L-$$ fuzzy multiset transformation semigroup are discussed. According to intuitionistic $$L-$$ admissible relation and homomorphism of ILFMA, we show that there is a bijective correspondence between an ILFMA and the quotient structure of another ILFMA." @default.
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- W3185145398 date "2021-09-28" @default.
- W3185145398 modified "2023-10-11" @default.
- W3185145398 title "Algebraic properties of intuitionistic $$L-$$fuzzy multiset finite automata" @default.
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- W3185145398 doi "https://doi.org/10.1007/s00500-021-06236-9" @default.
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