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- W2078576379 abstract "A lattice-valued relation, lvr for short, from a set X to a set Y is a function from the Cartesian product of X and Y to a lattice. This concept is a generalization of other structures, notably tolerance spaces, nets and automata, separately investigated by the authors elsewhere. It is adequate to admit a natural definition of homogeneity and a classification of homogeneous lvr's by their isomorphism groups. The main result of the present paper is a proof of this classification. The application of this to automata, also interpretable as lvr's, is described, and an example given. We conclude with a brief discussion of the lvr theory of fuzzy and stochastic automata." @default.
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- W2078576379 date "1984-01-01" @default.
- W2078576379 modified "2023-09-29" @default.
- W2078576379 title "Lattice valued relations and automata" @default.
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- W2078576379 doi "https://doi.org/10.1016/0166-218x(84)90114-8" @default.
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