%0 Journal Article
%T SOME HYPER K-ALGEBRAIC STRUCTURES INDUCED BY
MAX-MIN GENERAL FUZZY AUTOMATA
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Abolpour, khadijeh
%A Zahedi, Mohammad Mehdi
%A Golmohamadian, Masoome
%D 2011
%\ 02/16/2011
%V 8
%N 1
%P 113-134
%! SOME HYPER K-ALGEBRAIC STRUCTURES INDUCED BY
MAX-MIN GENERAL FUZZY AUTOMATA
%K (Positive implicative) Commutative hyper K-ideal
%K (Bounded) Hyper
BCK-algebra
%K Hyper BCK-ideal
%K Max-min general fuzzy automata
%R 10.22111/ijfs.2011.256
%X 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.
%U https://ijfs.usb.ac.ir/article_256_71305226c332631bc2f1b6569fe5e508.pdf