States on EQ-algebras

被引：21
|
作者：
Borzooei, R. A. [1 ]
Saffar, B. Ganji [1 ]
机构：
[1] Payamnour Univ, Dept Math, GC, Tehran, Iran
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2015年 / 29卷 / 01期
关键词：
EQ-algebra; state EQ-algebra; state ideals; state (pre)filters;
D O I：
10.3233/IFS-151588
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The notion of state is an analogue to probability measure and it has been studied for different types of structures such as MV-algebras, BL-algebras and BCK algebra. In this paper we define the notion of state on EQ-algebras which is algebraic structure of higher order fuzzy logic and we investigate some properties of them. Then we characterize representable class of state EQ-algebras.
引用
收藏
页码：209 / 221
页数：13
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