1996
DOI: 10.1016/s0020-0255(96)00139-9
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Successor and source of (fuzzy) finite state machines and (fuzzy) directed graphs

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Cited by 30 publications
(13 citation statements)
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“…Using this approach several theorems about conditions on fuzzy pogroupoids being equivalent to conditions on these fuzzy posets and their underlying crisp posets are obtained. These conditions also lead to some polynomial invariants of finite pogroupoids, finite posets and accordingly finite Hasse diagrams in terms of their fuzzy substructures which thus provide additional perspectives on objects studied in a number of papers which have appeared in Information Sciences, e.g., [4,5,11].…”
Section: Resultsmentioning
confidence: 99%
“…Using this approach several theorems about conditions on fuzzy pogroupoids being equivalent to conditions on these fuzzy posets and their underlying crisp posets are obtained. These conditions also lead to some polynomial invariants of finite pogroupoids, finite posets and accordingly finite Hasse diagrams in terms of their fuzzy substructures which thus provide additional perspectives on objects studied in a number of papers which have appeared in Information Sciences, e.g., [4,5,11].…”
Section: Resultsmentioning
confidence: 99%
“…We note that the next result has been used in the study of automata theory and graph theory (Mordeson and Nair 1996).…”
Section: Proposition 53 Let X Y ∪ X Then (X Y) ∪ P If and Only Ifmentioning
confidence: 96%
“…Definition 2. ( [7]) Given (Q, X, δ) ∈ FuA and A ⊆ Q, the source and the successor of A, are respectively the sets…”
Section: δ(Q E P) = 1 or 0 According Asmentioning
confidence: 99%