Some remarks on hyper MV-algebras

被引：3

作者：

Borzooei, R. A. ^{[1
]}

Dudek, W. A. ^{[2
]}

Radfar, A. ^{[3
]}

Zahiri, O. ^{[1
]}

机构：

[1] Shahid Beheshti Univ, Dept Math, Tehran, Iran

[2] Wroclaw Univ Technol, Inst Math & Comp Sci, PL-50370 Wroclaw, Poland

[3] Payam Noor Univ, Dept Math, Tehran, Iran

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2014年 / 27卷 / 06期

关键词：

(proper) hyper MV-algebra; hyper K-algebra; deductive system; IDEALS;

D O I：

10.3233/IFS-141258

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We describe relations between hyper MV-algebras and hyper K-algebras and prove that a finite hyper MV-algebra satisfying the condition 0 circle plus x = {x}, used by many authors, is in fact an ordinary MV-algebra. We also characterize relations between the main types of deductive systems of hyper MV-algebras.

引用

页码：2997 / 3005

页数：9

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