IDEALS OF PSEUDO MV-ALGEBRAS BASED ON VAGUE SET THEORY

被引：0
|
作者：
Jun, Y. B. [2 ,3 ]
Park, C. H. [1 ]
机构：
[1] Univ Ulsan, Dept Math, Ulsan 680749, South Korea
[2] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[3] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
来源：
IRANIAN JOURNAL OF FUZZY SYSTEMS | 2009年 / 6卷 / 02期
关键词：
Pseudo MV-algebra; (implicative; prime) vague ideal; INTUITIONISTIC FUZZY-SETS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The notion of vague ideals in pseudo MV-algebras is introduced, and several properties are investigated. Conditions for a vague set to be a vague ideal are provided. Conditions for a vague ideal to be implicative are given. Characterizations of (implicative, prime) vague ideals are discussed. The smallest vague ideal containing a given vague set is established. Prime and implicative extension property for a vague ideal is discussed.
引用
收藏
页码：31 / 45
页数：15
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