Abolpour, K., Zahedi, M., Golmohamadian, M. (2011). SOME HYPER K-ALGEBRAIC STRUCTURES INDUCED BY
MAX-MIN GENERAL FUZZY AUTOMATA. Iranian Journal of Fuzzy Systems, 8(1), 113-134.

khadijeh Abolpour; Mohammad Mehdi Zahedi; Masoome Golmohamadian. "SOME HYPER K-ALGEBRAIC STRUCTURES INDUCED BY
MAX-MIN GENERAL FUZZY AUTOMATA". Iranian Journal of Fuzzy Systems, 8, 1, 2011, 113-134.

Abolpour, K., Zahedi, M., Golmohamadian, M. (2011). 'SOME HYPER K-ALGEBRAIC STRUCTURES INDUCED BY
MAX-MIN GENERAL FUZZY AUTOMATA', Iranian Journal of Fuzzy Systems, 8(1), pp. 113-134.

Abolpour, K., Zahedi, M., Golmohamadian, M. SOME HYPER K-ALGEBRAIC STRUCTURES INDUCED BY
MAX-MIN GENERAL FUZZY AUTOMATA. Iranian Journal of Fuzzy Systems, 2011; 8(1): 113-134.

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

^{1}Department of Mathematics, Islamic Azad University, Kerman
Branch, Kerman, Iran

^{2}Department of Mathematics, Tarbiat Modares University,
Tehran, Iran

Abstract

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.

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