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

被引：0

作者：

Abolpour, K. ^{[1
]}

Zahedi, M. M. ^{[2
]}

Golmohamadian, M. ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Kerman, Iran

[2] Tarbiat Modares Univ, Dept Math, Tehran, Iran

来源：

IRANIAN JOURNAL OF FUZZY SYSTEMS | 2011年 / 8卷 / 01期

关键词：

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

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 LICK-algebra to a bounded hyper K-algebra and obtain relative results.

引用

页码：113 / 134

页数：22