University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06548120110216SOME HYPER K-ALGEBRAIC STRUCTURES INDUCED BY
MAX-MIN GENERAL FUZZY AUTOMATASOME HYPER K-ALGEBRAIC STRUCTURES INDUCED BY
MAX-MIN GENERAL FUZZY AUTOMATA11313425610.22111/ijfs.2011.256ENKhadijehAbolpourDepartment of Mathematics, Islamic Azad University, Kerman
Branch, Kerman, IranMohammad MehdiZahediDepartment of Mathematics, Tarbiat Modares University,
Tehran, IranMasoomeGolmohamadianDepartment of Mathematics, Tarbiat Modares University,
Tehran, IranJournal Article20090716We present some connections between the max-min general fuzzy <br />automaton theory and the hyper structure theory. First, we introduce a hyper <br />BCK-algebra induced by a max-min general fuzzy automaton. Then, we study <br />the properties of this hyper BCK-algebra. Particularly, some theorems and <br />results for hyper BCK-algebra are proved. For example, it is shown that <br />this structure consists of different types of (positive implicative) commutative <br />hyper K-ideals. As a generalization, we extend the definition of this hyper <br />BCK-algebra to a bounded hyper K-algebra and obtain relative results.https://ijfs.usb.ac.ir/article_256_71305226c332631bc2f1b6569fe5e508.pdf