SOME HYPER K-ALGEBRAIC STRUCTURES INDUCED BY MAX-MIN GENERAL FUZZY AUTOMATA

نویسندگان
Abolpour, Khadijeh ID 1
Zahedi, Mohammad Mehdi ID 2
Golmohamadian, Masoome ID 3

1 Department of Mathematics, Islamic Azad University, Kerman Branch, Kerman, Iran

2 Department of Mathematics, Tarbiat Modares University, Tehran, Iran

3 Department of Mathematics, Tarbiat Modares University, Tehran, Iran

doi
10.22111/ijfs.2011.256
چکیده

We present some connections between the max-min general fuzzy automaton theory and the hyper structure theory. First, we introduce a hyper BCK-algebra induced by a max-min general fuzzy automaton. Then, we study the properties of this hyper BCK-algebra. Particularly, some theorems and results for hyper BCK-algebra are proved. For example, it is shown that this structure consists of different types of (positive implicative) commutative hyper K-ideals. As a generalization, we extend the definition of this hyper BCK-algebra to a bounded hyper K-algebra and obtain relative results.

کلیدواژه‌ها
(Positive implicative) Commutative hyper K-ideal, (Bounded) Hyper BCK-algebra, Hyper BCK-ideal, Max-min general fuzzy automata