Interval-valued intuitionistic fuzzy ideals of K-algebras

被引：0
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作者：
University of the Punjab, Punjab University College of Information Technology, Old Campus, P. O. Box 54000, Lahore, Pakistan [1 ]
不详 [2 ]
不详 [3 ]
不详 [4 ]
机构：
来源：
WSEAS Trans. Math. | 2008年 / 9卷 / 559-568期
关键词：
Algebra;
D O I：
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中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of interval-valued intuitionistic fuzzy sets was first introduced by Atanassov and Gargov in 1989 as a generalization of both interval-valued fuzzy sets and intuitionistic sets. In this paper we first apply the concept of interval-valued intuitionistic fuzzy sets to K-algebras. Then we introduce the notion of interval-valued intuitionistic fuzzy ideals (IIFIs, in short) of K-algebras and investigate some interesting properties. We characterize Artinian and Noetherian K-algebras by considering IIFIs of a K-algebra K: Characterization theorems of fully invariant and characteristic IIFIs are also discussed.
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