(α, β)-intuitionistic fuzzy ideals of hemirings

被引:18
|
作者
Abdullah, Salem [1 ]
Davvaz, Bijan [2 ]
Aslam, Muhammad [1 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan
[2] Yazd Univ, Dept Math, Yazd, Iran
关键词
Hemiring; Intuitionistic fuzzy set; Intuitionistic fuzzy points; (alpha; beta)-intuitionistic fuzzy left (right); BETA)-FUZZY IDEALS; H-IDEALS; SETS; SEMIRINGS; MATRICES; SUBMODULES; ANTIRINGS; OPERATORS;
D O I
10.1016/j.camwa.2011.08.021
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce the concept of (alpha, beta)-intuitionistic fuzzy sub-hemiring, (left, right, two sided) ideals of hemirings, where alpha, beta are any two of {is an element of, q, is an element of vq, is an element of boolean AND q} with alpha not equal is an element of boolean AND q, by using belongs to relation (is an element of) and quasi-coincidence with relation (q) between intuitionistic fuzzy points and intuitionistic fuzzy sets, and investigate related properties. Moreover, we define prime(semiprime) (alpha, beta)-intuitionistic fuzzy ideals of hemirings and investigate some different properties of these ideals. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:3077 / 3090
页数:14
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