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

页码：209 / 221

页数：13

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