Intuitionistic Fuzzy Sublattices and Ideals

被引：9

作者：

Thomas, K. V. ^{[1
]}

Nair, Latha S. ^{[2
]}

机构：

[1] Bharata Mata Coll, Dept Math, Kochi, Kerala, India

[2] Mar Athanasius Coll, Dept Math, Kochi, Kerala, India

来源：

FUZZY INFORMATION AND ENGINEERING | 2011年 / 3卷 / 03期

关键词：

Lattice; Intuitionistic fuzzy sets; Fuzzy sublattice; Fuzzy ideal; Homomorphism; Epimorphism;

D O I：

10.1007/s12543-011-0086-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the concept of intuitionistic fuzzy sublattices and intuitionistic fuzzy ideals of a lattice. Some characterization and properties of these intuitionistic fuzzy sublattices and ideals are established. Also we introduce the sum and product of two intuitionistic fuzzy ideals and prove that the sum and product of two Intuitionistic fuzzy ideals of a distributive lattice is again an intuitionistic fuzzy ideal. Moreover, we study the properties of intuitionistic fuzzy ideals under lattice homomorphism.

引用

页码：321 / 331

页数：11

共 9 条

[1] FUZZY LATTICES [J].