New types of fuzzy bi-ideals in ordered semigroups

被引：19

作者：

Khan, Asghar ^{[1
]}

Sarmin, Nor Haniza ^{[2
]}

Davvaz, Bijan ^{[3
]}

Khan, Faiz Muhammad ^{[2
]}

机构：

[1] COMSAT Inst Informat Technol, Dept Math, Khyber Pukhtoon Khwa, Abbottabad, Pakistan

[2] Univ Teknol Malaysia, Fac Sci, Dept Math Sci, Johor Baharu 81310, Johor, Malaysia

[3] Yazd Univ, Dept Math, Yazd, Iran

来源：

NEURAL COMPUTING & APPLICATIONS | 2012年 / 21卷

关键词：

Regular; left (resp right) regular and completely regular ordered semigroups; Bi-ideals; Fuzzy bi-ideals; (is an element of; is an element of boolean OR q(k))-fuzzybi-ideals; RINGS;

D O I：

10.1007/s00521-012-0843-3

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In Jun et al. (Bull Malays Math Sci Soc (2) 32(3):391-408, 2009), (alpha, beta)-fuzzy bi-ideals are introduced and some characterizations are given. In this paper, we generalize the concept of (alpha, beta)-fuzzy bi-ideals and define (is an element of, is an element of boolean OR q(k))-fuzzy bi-ideals in ordered semigroups, which is a generalization of the concept of an (alpha, beta)-fuzzy bi-ideal in an ordered semigroup. Using this concept, some characterization theorems of regular, left (resp. right) regular and completely regular ordered semigroups are provided. In the last section, we give the concept of upper/lower parts of an (is an element of, is an element of boolean OR q(k))-fuzzy bi-ideal and investigate some interesting results of regular and intra-regular ordered semigroups.

引用

页码：S295 / S305

页数：11

共 21 条

[1] (is an element of,is an element of boolean OR q)-fuzzy subgroup[J]. Bhakat, SK;Das, P. FUZZY SETS AND SYSTEMS, 1996(03)
[2] Fuzzy subrings and ideals redefined[J]. Bhakat, SK;Das, P. FUZZY SETS AND SYSTEMS, 1996(03)
[3] Fuzzy R-subgroups with thresholds of near-rings and implication operators[J]. Davvaz, B. SOFT COMPUTING, 2008(09)
[4] (ε ε v q)-fuzzy subnear-rings and ideals[J]. Davvaz, B. SOFT COMPUTING, 2006(03)
[5] Characterizations of regular ordered semigroups in terms of (α, β)-fuzzy generalized bi-ideals[J]. Davvaz, Bijan;Khan, Asghar. INFORMATION SCIENCES, 2011(09)
[6] JUN Y.B., 2005, Bull. Korean Math. Soc, V42, P703, DOI 10.4134/BKMS.2005.42.4.703
[7] Generalizations of (ε, ε ∨ q)-fuzzy subalgebras in BCK/BCI-algebras[J]. Jun, Young Bae. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009(07)
[8] Jun YB, 2009, B MALAYS MATH SCI SO, V32, P391
[9] Kang M. S., 2010, HONAM MATH J, V32, P413
[10] Fuzzy bi-ideals in ordered semigroups[J]. Kehayopulu, N;Tsingelis, M. INFORMATION SCIENCES, 2005(1-3)

← 1 2 3 →