دوره 4، شماره 1 - ( 2-1388 )                   جلد 4 شماره 1 صفحات 79-98 | برگشت به فهرست نسخه ها

DOI: 10.7508/ijmsi.2009.01.007


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چکیده:  

In this note first we define a BCK‐algebra on the states of a deterministic finite automaton. Then we show that it is a BCK‐algebra with condition (S) and also it is a positive implicative BCK‐algebra. Then we find some quotient BCK‐algebras of it. After that we introduce a hyper BCK‐algebra on the set of all equivalence classes of an equivalence relation on the states of a deterministic finite automaton and we prove that this hyper BCKalgebra is simple, strong normal and implicative. Finally we define a semi continuous deterministic finite automaton. Then we introduce a hyper BCK‐algebra S on the states of this automaton and we show that S is a weak normal hyper BCK‐algebra.

نوع مطالعه: پژوهشي | موضوع مقاله: عمومى